{"id":34955,"date":"2024-05-16T12:00:00","date_gmt":"2024-05-16T07:00:00","guid":{"rendered":"https:\/\/chartexpo.com\/blog\/?p=34955"},"modified":"2026-01-29T19:24:25","modified_gmt":"2026-01-29T14:24:25","slug":"how-to-calculate-the-range-of-a-data-set","status":"publish","type":"post","link":"https:\/\/chartexpo.com\/blog\/how-to-calculate-the-range-of-a-data-set","title":{"rendered":"How to Calculate Range of a Data Set: Unleash Insights"},"content":{"rendered":"<p>How to calculate the range of a data set is fundamental to dealing with numbers. The range is the simplest measure of variability. It is obtained by subtracting the smallest from the largest values in the data set. It&#8217;s simple yet mighty.<\/p>\n<div style=\"text-align: center;\"><a href=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2024\/05\/how-to-calculate-the-range-of-a-data-set.jpg\"><img decoding=\"async\" class=\"alignnone size-full wp-image-4345\" style=\"max-width: 100%;\" src=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2024\/05\/how-to-calculate-the-range-of-a-data-set.jpg\" alt=\"How to Calculate the Range of a Data Set\" \/><\/a><\/div>\n<div style=\"text-align: center;\"><a href=\"https:\/\/chartexpo.com\/utmAction\/MTYrYmxvZytwYitjZXhwbytQQkk1NTIrU2Fua2V5Kw==\" target=\"_blank\" rel=\"noopener noreferrer nofollow\"><img decoding=\"async\" class=\"alignnone size-full wp-image-4345\" src=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2023\/04\/CTA-in-power-bi.jpg\" alt=\"\" width=\"205\" height=\"113\" \/><\/a> <a href=\"https:\/\/chartexpo.com\/utmAction\/MTYrYmxvZytncytjZXhwbytDRTU1Mis=\" target=\"_blank\" rel=\"noopener noreferrer nofollow\"><img decoding=\"async\" class=\"alignnone size-full wp-image-4345\" src=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2023\/04\/CTA-in-google-sheets.jpg\" alt=\"\" width=\"205\" height=\"113\" \/><\/a> <a href=\"https:\/\/chartexpo.com\/TrafficTracker\/MTYrYmxvZytzZStjZXhwbytDRTU1Mis=\" target=\"_blank\" rel=\"noopener noreferrer nofollow\"><img decoding=\"async\" class=\"alignnone size-full wp-image-4345\" src=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2023\/04\/CTA-in-microsoft-excel.jpg\" alt=\"\" width=\"205\" height=\"113\" \/><\/a><\/div>\n<p>Businesses, researchers, and almost everyone utilize the concepts of range in their field to improve various aspects. For example, the range of test scores in education can assist teachers in evaluating student performance. Similarly, in quality control, analyzing the range of product measurements ensures consistency and precision.<\/p>\n<p>Too broad of a concept, I know. But here&#8217;s the thing: at any rate, this theoretical knowledge holds a high measure of practical value. It&#8217;s not about whether you are in finance, healthcare, or sports. What matters is that knowing how to calculate the range of a data set will pay off. How? It will inform your decision-making and facilitate problem-solving.<\/p>\n<p>Your journey to learn more about the concept of range starts with this blog post. We&#8217;ll walk through the calculation process and explore its real-world significance. By the end, you&#8217;ll realize that the range goes beyond numbers. It&#8217;s a tool that can help you uncover actionable insights from data and make rational decisions.<\/p>\n<h3>Table of Contents:<\/h3>\n<ol>\n<li><a href=\"#tb1\">What is the RANGE Function in Power BI?<\/a><\/li>\n<li><a href=\"#tb2\">Why is DAX Range Important?<\/a><\/li>\n<li><a href=\"#tb3\">How to Use the Range Function in Power BI?<\/a><\/li>\n<li><a href=\"#tb4\">How to Create Data Depiction in Power BI?<\/a><\/li>\n<li><a href=\"#tb5\">What is the Best Practice for Using Range in Power BI?<\/a><\/li>\n<li><a href=\"#tb6\">Wrap Up<\/a><\/li>\n<\/ol>\n<p>Let&#8217;s get started.<\/p>\n<h2 id=\"tb1\">What is the RANGE Function in Power BI?<\/h2>\n<p><strong>Definition: <\/strong>The RANGE function in Power BI helps analyze data within a specified range. It extracts data falling between defined limits.<\/p>\n<p>The syntax for the RANGE function is:<\/p>\n<p><strong>RANGE(&lt;Start&gt;, &lt;End&gt;, [&lt;Increment&gt;])<\/strong><\/p>\n<p>Where:<\/p>\n<ul>\n<li>&lt;Start&gt; is the starting value of the range.<\/li>\n<li>&lt;End&gt; is the ending value of the range.<\/li>\n<li>&lt;Increment&gt; (optional) is the step size between consecutive numbers in the range. If not provided, it defaults to 1.<\/li>\n<\/ul>\n<p data-pm-slice=\"0 0 []\">This function is useful for filtering data based on conditions like dates, numbers, or text. By specifying a start and end point\u2014such as calculating the <a href=\"https:\/\/chartexpo.com\/blog\/no-of-days-between-two-dates\" target=\"_blank\" rel=\"noopener\">No of Days Between Two Dates<\/a>\u2014it enables focused analysis of relevant data subsets. It simplifies data manipulation tasks by narrowing down Datasets.<\/p>\n<p>RANGE in Power BI is essential for various analytical tasks, such as trend analysis and performance evaluation. Its versatility supports diverse business requirements. Moreover, utilizing Power BI RANGE enhances <a href=\"https:\/\/chartexpo.com\/blog\/data-visualization-guide\" target=\"_blank\" rel=\"noopener noreferrer\">data visualization<\/a> and reporting capabilities. By selecting specific data ranges, you can derive actionable insights more effectively.<\/p>\n<h2 id=\"tb2\">Why is DAX Range Important?<\/h2>\n<p>The DAX RANGE function is vital for data manipulation and analysis in Power BI. It has multifaceted utility across various analytical tasks.<\/p>\n<ul>\n<li>\n<h3>Data Generation and Exploration<\/h3>\n<\/li>\n<\/ul>\n<p>In data exploration, DAX RANGE allows you to generate specific data subsets based on defined ranges. For example, you can filter sales data only to analyze transactions within a particular month or year. This ability to subset data facilitates focused exploration, enabling you to understand trends or anomalies within specific segments.<\/p>\n<ul>\n<li>\n<h3>Iterative Calculations<\/h3>\n<\/li>\n<\/ul>\n<p>RANGE in Power BI is instrumental in iterative calculations. Filtering data within specified ranges facilitates computations on subsets of data. For instance, you can calculate moving averages or cumulative sums over defined periods, such as quarterly sales performance. Or rolling averages of inventory levels. This capability is crucial for accurate analysis of data trends and patterns.<\/p>\n<ul>\n<li>\n<h3>Custom Aggregations<\/h3>\n<\/li>\n<\/ul>\n<p>DAX RANGE supports the creation of custom aggregations by summarizing data within user-defined ranges. This feature offers flexibility in data aggregation processes, allowing you to define specific criteria for summarizing data. For instance, you can create custom aggregations to calculate average sales per customer within specific age groups.<\/p>\n<ul>\n<li>\n<h3>Dynamic Visualization<\/h3>\n<\/li>\n<\/ul>\n<p>Dynamic visualization is enhanced through the use of DAX RANGE. The function ensures that visualizations accurately reflect specific data segments by selecting and <a href=\"https:\/\/chartexpo.com\/blog\/data-presentation\" target=\"_blank\" rel=\"noopener noreferrer\">data presentation<\/a> within desired ranges. For example, you can create dynamic charts that display sales performance for a selected time range or product category. This, as a result, enables interactive exploration of data insights.<\/p>\n<ul>\n<li>\n<h3>Scenario Analysis<\/h3>\n<\/li>\n<\/ul>\n<p>DAX RANGE facilitates scenario analysis by enabling data analysis under different conditions or scenarios within defined ranges. You can evaluate the impact of changing variables by adjusting the range criteria. For instance, you can analyze sales performance under different pricing strategies or market conditions by varying the time frame.<\/p>\n<ul>\n<li>\n<h3>Statistical Analysis<\/h3>\n<\/li>\n<\/ul>\n<p>In statistical analysis, DAX RANGE segments data into ranges for statistical computations, enhancing the accuracy of analysis outcomes. You can perform various statistical calculations on data subsets defined by ranges, such as mean, median, or standard deviation. This capability is essential for deriving meaningful insights and informed <a href=\"https:\/\/chartexpo.com\/blog\/data-driven-decision-making\" target=\"_blank\" rel=\"noopener noreferrer\">decision-making<\/a> based on statistical evidence.<\/p>\n<ul>\n<li>\n<h3>Forecasting and Trend Analysis<\/h3>\n<\/li>\n<\/ul>\n<p>DAX RANGE enables you to analyze data trends within specified ranges for forecasting and trend analysis. When applied to <a href=\"https:\/\/chartexpo.com\/tools\/power-bi-custom-visuals\" target=\"_blank\" rel=\"noopener\">Power BI charts<\/a>, it helps identify patterns over time or across different segments, making it easier to predict future outcomes. This capability supports predictive modeling and data-driven decision-making within organizations.<\/p>\n<h2 id=\"tb3\">How to Use the Range Function in Power BI?<\/h2>\n<p>The RANGE function allows you to segment or filter data based on specific criteria, such as numerical ranges. Follow these steps to use the RANGE function in Power BI.<\/p>\n<ul>\n<li><strong>Open Power BI Desktop:<\/strong> Launch Power BI Desktop to access your data and begin creating or editing your Power BI data model.<\/li>\n<li><strong>Add a new column or measure:<\/strong> Select the table or data model where you want to apply the RANGE function. Then, choose whether to add a new column or measure depending on your analysis needs.<\/li>\n<li><strong>Write the DAX expression:<\/strong> In the formula bar, write the DAX expression using the RANGE function. Specify the criteria for the range, such as the starting point, ending point, and optional increment value. The syntax is as follows:<\/li>\n<\/ul>\n<p><strong>RANGE ( &lt;Step&gt; [, &lt;IncludeCurrent&gt;] [, &lt;Axis&gt;] [, &lt;Blanks&gt;] [, &lt;Reset&gt;] )<\/strong><\/p>\n<table class=\"static\" style=\"table-layout: fixed; overflow-x: auto; border: 1px; font-size: 17px;\">\n<tbody>\n<tr>\n<td width=\"122\"><strong>PARAMETER<\/strong><\/td>\n<td width=\"122\"><strong>ATTRIBUTES<\/strong><\/td>\n<td width=\"384\"><strong>DESCRIPTION<\/strong><\/td>\n<\/tr>\n<tr>\n<td width=\"122\">Step<\/td>\n<td width=\"122\"><\/td>\n<td width=\"384\">The desired length of the window. If negative, the window will contain the last -STEP rows before the current row. Otherwise, the window will contain the first STEP rows after the current row.<\/td>\n<\/tr>\n<tr>\n<td width=\"122\">IncludeCurrent<\/td>\n<td width=\"122\">Optional<\/td>\n<td width=\"384\">A logical value specifying whether or not to include the current row. The default value is TRUE.<\/td>\n<\/tr>\n<tr>\n<td width=\"122\">Axis<\/td>\n<td width=\"122\">Optional<\/td>\n<td width=\"384\">An axis reference.<\/td>\n<\/tr>\n<tr>\n<td width=\"122\">Blanks<\/td>\n<td width=\"122\">Optional<\/td>\n<td width=\"384\">An enumeration that defines how\u00a0<u>BLANK<\/u>\u00a0values are ordered. Valid values are: DEFAULT,\u00a0<u>LAST<\/u>,\u00a0<u>FIRST<\/u>.<\/td>\n<\/tr>\n<tr>\n<td width=\"122\">Reset<\/td>\n<td width=\"122\">Optional<\/td>\n<td width=\"384\">Specifies how the calculation restarts. Valid values are: None, LowestParent, HighestParent, or an integer.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>This function can be used in visual calculations only.<\/p>\n<p>The<strong> &lt;includeCurrent&gt;, &lt;axis&gt;, &lt;blanks&gt;, <\/strong>and<strong> &lt;reset&gt; <\/strong>parameters can be omitted.<\/p>\n<h3>Example<\/h3>\n<p>The DAX query below extends a table containing summaries of total sales per product category and month. It appends a new column showcasing the cumulative sales over the last half-year period.<\/p>\n<p><strong>TotalSalesLast6Months = CALCULATE(SUM([SalesAmount]), RANGE(-5, Rows))<\/strong><\/p>\n<p>The screenshot below shows the visual matrix and the visual calculation expression:<\/p>\n<div style=\"text-align: center;\"><a href=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2024\/05\/visual-calculation-expression-for-learning-how-to-calculate-the-range-of-a-data-set-1.jpg\"><img decoding=\"async\" class=\"alignnone size full wp image 4345\" src=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2024\/05\/visual-calculation-expression-for-learning-how-to-calculate-the-range-of-a-data-set-1.jpg\" alt=\"Visual Calculation Expression for Learning How to Calculate the Range of a Data Set\" width=\"598\" \/><\/a><\/div>\n<ul>\n<li><strong>Enter the function parameters:<\/strong> Provide values for the RANGE function&#8217;s start, end, and increment parameters.<\/li>\n<li><strong>Press Enter:<\/strong> Press Enter to apply the function after entering the expression.<\/li>\n<li><strong>View the results:<\/strong> Depending on whether you created a column or measure, observe the results in the data model or visualizations, respectively.<\/li>\n<li><strong>Verify and adjust:<\/strong> Ensure the generated range aligns with your needs. If necessary, tweak the RANGE function parameters to attain the desired result.<\/li>\n<\/ul>\n<h2 id=\"tb4\">How to Create Data Depiction in Power BI?<\/h2>\n<p>Here is a step-by-step process for creating a <a href=\"https:\/\/chartexpo.com\/blog\/power-bi-data-visualizations\" target=\"_blank\" rel=\"noopener noreferrer\">visualization in Power BI<\/a>.<\/p>\n<h4>Stage 1: Logging in to Power BI<\/h4>\n<ul>\n<li>Log in to Power BI.<\/li>\n<li>Enter your email address and click the \u201c<strong>Submit<\/strong>\u201d\u009d button.<\/li>\n<\/ul>\n<div style=\"text-align: center;\"><a href=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2023\/05\/enter-email-to-login-to-power-bi.jpg\"><img decoding=\"async\" class=\"alignnone size full wp image 4345\" src=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2023\/05\/enter-email-to-login-to-power-bi.jpg\" alt=\"Enter email to login to Power BI\" width=\"650\" \/><\/a><\/div>\n<ul>\n<li>You are redirected to your Microsoft account.<\/li>\n<li>Enter your password and click \u201c<strong>Sign in<\/strong>\u201c.<\/li>\n<\/ul>\n<div style=\"text-align: center;\"><a href=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2023\/05\/enter-password-to-login-to-power-bi.jpg\"><img decoding=\"async\" class=\"alignnone size full wp image 4345\" src=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2023\/05\/enter-password-to-login-to-power-bi.jpg\" alt=\"Enter Password to login to Power BI\" width=\"363\" \/><\/a><\/div>\n<ul>\n<li>You can choose whether to stay signed in.<\/li>\n<\/ul>\n<div style=\"text-align: center;\"><a href=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2023\/05\/click-on-stay-signed-in.jpg\"><img decoding=\"async\" class=\"alignnone size full wp image 4345\" src=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2023\/05\/click-on-stay-signed-in.jpg\" alt=\"Click on stay signed in\" width=\"392\" \/><\/a><\/div>\n<ul>\n<li>Once done, the Power BI home screen will open.<\/li>\n<\/ul>\n<h4>Stage 2: Creating a Data Set and Selecting the Data Set to Use in Your Chart<\/h4>\n<ul>\n<li>Go to the left-side menu and click the \u201c<strong>Create<\/strong>\u201d\u009d button.<\/li>\n<li>Select \u201c<strong>Paste or manually enter data<\/strong>\u201c.<\/li>\n<\/ul>\n<div style=\"text-align: center;\"><a href=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2024\/02\/select-paste-or-manually-enter-data-in-power-bi-ce487.jpg\"><img decoding=\"async\" class=\"alignnone size full wp image 4345\" src=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2024\/02\/select-paste-or-manually-enter-data-in-power-bi-ce487.jpg\" alt=\"select Paste or manually enter data in Power BI ce487\" width=\"650\" \/><\/a><\/div>\n<div style=\"text-align: center;\"><a href=\"https:\/\/chartexpo.com\/utmAction\/MTYrYmxvZytwYitjZXhwbytQQkk1NTIrU2Fua2V5Kw==\" target=\"_blank\" rel=\"noopener noreferrer nofollow\"><img decoding=\"async\" class=\"alignnone size-full wp-image-4345\" src=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2023\/04\/CTA-in-power-bi.jpg\" alt=\"\" width=\"205\" height=\"113\" \/><\/a> <a href=\"https:\/\/chartexpo.com\/utmAction\/MTYrYmxvZytncytjZXhwbytDRTU1Mis=\" target=\"_blank\" rel=\"noopener noreferrer nofollow\"><img decoding=\"async\" class=\"alignnone size-full wp-image-4345\" src=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2023\/04\/CTA-in-google-sheets.jpg\" alt=\"\" width=\"205\" height=\"113\" \/><\/a> <a href=\"https:\/\/chartexpo.com\/TrafficTracker\/MTYrYmxvZytzZStjZXhwbytDRTU1Mis=\" target=\"_blank\" rel=\"noopener noreferrer nofollow\"><img decoding=\"async\" class=\"alignnone size-full wp-image-4345\" src=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2023\/04\/CTA-in-microsoft-excel.jpg\" alt=\"\" width=\"205\" height=\"113\" \/><\/a><\/div>\n<ul>\n<li>We\u2019ll use the HR sample data below for this example, using a <a href=\"https:\/\/chartexpo.com\/charts\/sankey-diagram\" target=\"_blank\" rel=\"noopener\">Sankey diagram generator<\/a>.<\/li>\n<\/ul>\n<table class=\"static\" style=\"table-layout: fixed; overflow-x: auto; border: 1px; font-size: 17px;\">\n<tbody>\n<tr>\n<td width=\"144\"><strong>Application Channels<\/strong><\/td>\n<td width=\"119\"><strong>Initial Screening<\/strong><\/td>\n<td width=\"140\"><strong>Conduct Interviews<\/strong><\/td>\n<td width=\"158\"><strong>Employee Onboarding<\/strong><\/td>\n<td width=\"124\"><strong>Total Candidates<\/strong><\/td>\n<\/tr>\n<tr>\n<td width=\"144\">Social Media<\/td>\n<td width=\"119\">Short Listed<\/td>\n<td width=\"140\">Final Interview<\/td>\n<td width=\"158\">Hired<\/td>\n<td width=\"124\">32<\/td>\n<\/tr>\n<tr>\n<td width=\"144\">Social Media<\/td>\n<td width=\"119\">Short Listed<\/td>\n<td width=\"140\">Final Interview<\/td>\n<td width=\"158\">Not Hired<\/td>\n<td width=\"124\">400<\/td>\n<\/tr>\n<tr>\n<td width=\"144\">Social Media<\/td>\n<td width=\"119\">Short Listed<\/td>\n<td width=\"140\">Knocked Out<\/td>\n<td width=\"158\"><\/td>\n<td width=\"124\">800<\/td>\n<\/tr>\n<tr>\n<td width=\"144\">Social Media<\/td>\n<td width=\"119\">Knocked Out<\/td>\n<td width=\"140\"><\/td>\n<td width=\"158\"><\/td>\n<td width=\"124\">1100<\/td>\n<\/tr>\n<tr>\n<td width=\"144\">Company Career Page<\/td>\n<td width=\"119\">Short Listed<\/td>\n<td width=\"140\">Final Interview<\/td>\n<td width=\"158\">Hired<\/td>\n<td width=\"124\">20<\/td>\n<\/tr>\n<tr>\n<td width=\"144\">Company Career Page<\/td>\n<td width=\"119\">Short Listed<\/td>\n<td width=\"140\">Final Interview<\/td>\n<td width=\"158\">Not Hired<\/td>\n<td width=\"124\">250<\/td>\n<\/tr>\n<tr>\n<td width=\"144\">Company Career Page<\/td>\n<td width=\"119\">Short Listed<\/td>\n<td width=\"140\">Knocked Out<\/td>\n<td width=\"158\"><\/td>\n<td width=\"124\">500<\/td>\n<\/tr>\n<tr>\n<td width=\"144\">Company Career Page<\/td>\n<td width=\"119\">Knocked Out<\/td>\n<td width=\"140\"><\/td>\n<td width=\"158\"><\/td>\n<td width=\"124\">900<\/td>\n<\/tr>\n<tr>\n<td width=\"144\">Events<\/td>\n<td width=\"119\">Short Listed<\/td>\n<td width=\"140\">Final Interview<\/td>\n<td width=\"158\">Hired<\/td>\n<td width=\"124\">5<\/td>\n<\/tr>\n<tr>\n<td width=\"144\">Events<\/td>\n<td width=\"119\">Short Listed<\/td>\n<td width=\"140\">Final Interview<\/td>\n<td width=\"158\">Not Hired<\/td>\n<td width=\"124\">100<\/td>\n<\/tr>\n<tr>\n<td width=\"144\">Events<\/td>\n<td width=\"119\">Short Listed<\/td>\n<td width=\"140\">Knocked Out<\/td>\n<td width=\"158\"><\/td>\n<td width=\"124\">200<\/td>\n<\/tr>\n<tr>\n<td width=\"144\">Events<\/td>\n<td width=\"119\">Knocked Out<\/td>\n<td width=\"140\"><\/td>\n<td width=\"158\"><\/td>\n<td width=\"124\">350<\/td>\n<\/tr>\n<tr>\n<td width=\"144\">Paper Media<\/td>\n<td width=\"119\">Short Listed<\/td>\n<td width=\"140\">Final Interview<\/td>\n<td width=\"158\">Hired<\/td>\n<td width=\"124\">3<\/td>\n<\/tr>\n<tr>\n<td width=\"144\">Paper Media<\/td>\n<td width=\"119\">Short Listed<\/td>\n<td width=\"140\">Final Interview<\/td>\n<td width=\"158\">Not Hired<\/td>\n<td width=\"124\">80<\/td>\n<\/tr>\n<tr>\n<td width=\"144\">Paper Media<\/td>\n<td width=\"119\">Short Listed<\/td>\n<td width=\"140\">Knocked Out<\/td>\n<td width=\"158\"><\/td>\n<td width=\"124\">135<\/td>\n<\/tr>\n<tr>\n<td width=\"144\">Paper Media<\/td>\n<td width=\"119\">Knocked Out<\/td>\n<td width=\"140\"><\/td>\n<td width=\"158\"><\/td>\n<td width=\"124\">700<\/td>\n<\/tr>\n<tr>\n<td width=\"144\">Employee Referrals<\/td>\n<td width=\"119\">Short Listed<\/td>\n<td width=\"140\">Final Interview<\/td>\n<td width=\"158\">Hired<\/td>\n<td width=\"124\">10<\/td>\n<\/tr>\n<tr>\n<td width=\"144\">Employee Referrals<\/td>\n<td width=\"119\">Short Listed<\/td>\n<td width=\"140\">Final Interview<\/td>\n<td width=\"158\">Not Hired<\/td>\n<td width=\"124\">70<\/td>\n<\/tr>\n<tr>\n<td width=\"144\">Employee Referrals<\/td>\n<td width=\"119\">Short Listed<\/td>\n<td width=\"140\">Knocked Out<\/td>\n<td width=\"158\"><\/td>\n<td width=\"124\">80<\/td>\n<\/tr>\n<tr>\n<td width=\"144\">Employee Referrals<\/td>\n<td width=\"119\">Knocked Out<\/td>\n<td width=\"140\"><\/td>\n<td width=\"158\"><\/td>\n<td width=\"124\">110<\/td>\n<\/tr>\n<tr>\n<td width=\"144\">Direct<\/td>\n<td width=\"119\">Short Listed<\/td>\n<td width=\"140\">Final Interview<\/td>\n<td width=\"158\">Hired<\/td>\n<td width=\"124\">25<\/td>\n<\/tr>\n<tr>\n<td width=\"144\">Direct<\/td>\n<td width=\"119\">Short Listed<\/td>\n<td width=\"140\">Final Interview<\/td>\n<td width=\"158\">Not Hired<\/td>\n<td width=\"124\">150<\/td>\n<\/tr>\n<tr>\n<td width=\"144\">Direct<\/td>\n<td width=\"119\">Short Listed<\/td>\n<td width=\"140\">Knocked Out<\/td>\n<td width=\"158\"><\/td>\n<td width=\"124\">425<\/td>\n<\/tr>\n<tr>\n<td width=\"144\">Direct<\/td>\n<td width=\"119\">Knocked Out<\/td>\n<td width=\"140\"><\/td>\n<td width=\"158\"><\/td>\n<td width=\"124\">600<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<ul>\n<li>Paste the above data table in the Power Query Window.<\/li>\n<li>Select the \u201c<strong>Create a dataset only<\/strong>\u201d option.<\/li>\n<\/ul>\n<div style=\"text-align: center;\"><a href=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2024\/05\/create-dataset-only-for-learning-how-to-calculate-the-range-of-a-data-set.jpg\"><img decoding=\"async\" class=\"alignnone size full wp image 4345\" src=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2024\/05\/create-dataset-only-for-learning-how-to-calculate-the-range-of-a-data-set.jpg\" alt=\"Create Dataset Only for Learning How to Calculate the Range of a Data Set\" width=\"623\" \/><\/a><\/div>\n<ul>\n<li>On the left-side menu, click \u201c<strong>Data Hub<\/strong>\u201c.<\/li>\n<li>Power BI populates the data set list. (If you have not created a data set, refer to the Error! Reference source not found section).<\/li>\n<\/ul>\n<div style=\"text-align: center;\"><a href=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2024\/05\/opening-data-hub-for-learning-how-to-calculate-the-range-of-a-data-set.jpg\"><img decoding=\"async\" class=\"alignnone size full wp image 4345\" src=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2024\/05\/opening-data-hub-for-learning-how-to-calculate-the-range-of-a-data-set.jpg\" alt=\"Opening Data Hub for Learning How to Calculate the Range of a Data Set\" width=\"650\" \/><\/a><\/div>\n<ul>\n<li>Click on the \u201c<strong>Create a report<\/strong>\u201d\u009d dropdown.<\/li>\n<\/ul>\n<div style=\"text-align: center;\"><a href=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2024\/05\/create-a-report-for-learning-how-to-calculate-the-range-of-a-data-set.jpg\"><img decoding=\"async\" class=\"alignnone size full wp image 4345\" src=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2024\/05\/create-a-report-for-learning-how-to-calculate-the-range-of-a-data-set.jpg\" alt=\"Create a Report for Learning How to Calculate the Range of a Data Set\" width=\"623\" \/><\/a><\/div>\n<h4>Stage 3: Adding the Power BI Sankey Diagram Extension by ChartExpo<\/h4>\n<ul>\n<li>Creating the Sankey Diagram requires us to use an add-in or Power BI visual from AppSource.<\/li>\n<li>Navigate to the right side of the Power BI dashboard.<\/li>\n<li>Open the Power BI Visualizations panel.<\/li>\n<li>Click the ellipsis symbol () as highlighted in the diagram below. This will import the Power BI Sankey Diagram extension by ChartExpo.<\/li>\n<li>The following menu opens:<\/li>\n<li>Select the \u201c<strong>Get more visuals<\/strong>\u201d option.<\/li>\n<\/ul>\n<div style=\"text-align: center;\"><a href=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2024\/05\/get-more-visuals-for-learning-how-to-calculate-the-range-of-a-data-set.jpg\"><img decoding=\"async\" class=\"alignnone size full wp image 4345\" src=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2024\/05\/get-more-visuals-for-learning-how-to-calculate-the-range-of-a-data-set.jpg\" alt=\"Get more Visuals for Learning How to Calculate the Range of a Data Set\" width=\"623\" \/><\/a><\/div>\n<ul>\n<li>The following window opens.<\/li>\n<li>Enter \u201c<strong>Sankey Diagram for Power BI by ChartExpo<\/strong>\u201d in the highlighted search box.<\/li>\n<li>You should see the \u201c<strong>Sankey Diagram for Power BI by ChartExpo<\/strong>\u201d, as shown in the image below.<\/li>\n<\/ul>\n<div style=\"text-align: center;\"><a href=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2024\/05\/charts-page-for-learning-how-to-calculate-the-range-of-a-data-set.jpg\"><img decoding=\"async\" class=\"alignnone size full wp image 4345\" src=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2024\/05\/charts-page-for-learning-how-to-calculate-the-range-of-a-data-set.jpg\" alt=\"Charts Page for Learning How to Calculate the Range of a Data Set\" width=\"623\" \/><\/a><\/div>\n<ul>\n<li>Click the Sankey Diagram option and click the <strong>\u201cAdd\u201d<\/strong>\u00a0button.<\/li>\n<\/ul>\n<div style=\"text-align: center;\"><a href=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2024\/05\/sankey-chart-add-button-for-learning-how-to-calculate-the-range-of-a-data-set.jpg\"><img decoding=\"async\" class=\"alignnone size full wp image 4345\" src=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2024\/05\/sankey-chart-add-button-for-learning-how-to-calculate-the-range-of-a-data-set.jpg\" alt=\"Sankey Chart Add Button for Learning How to Calculate the Range of a Data Set\" width=\"623\" \/><\/a><\/div>\n<ul>\n<li>You can now see the <strong>Sankey Diagram for Power BI by ChartExpo<\/strong> icon in the visualizations list.<\/li>\n<\/ul>\n<div style=\"text-align: center;\"><a href=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2024\/05\/sankey-diagram-in-visualization-for-learning-how-to-calculate-the-range-of-a-data-set.jpg\"><img decoding=\"async\" class=\"alignnone size full wp image 4345\" src=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2024\/05\/sankey-diagram-in-visualization-for-learning-how-to-calculate-the-range-of-a-data-set.jpg\" alt=\"Sankey Diagram in Visualization for Learning How to Calculate the Range of a Data Set\" width=\"623\" \/><\/a><\/div>\n<h4>Stage 4: Drawing a Sankey Diagram with ChartExpo&#8217;s Power BI extension<\/h4>\n<ul>\n<li>Select the \u201cSankey Diagram for Power BI by ChartExpo\u201d icon in the visualization panel.<\/li>\n<li>The following window opens in the report section of your dashboard:<\/li>\n<\/ul>\n<div style=\"text-align: center;\"><a href=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2024\/05\/sankey-diagram-icon-added-for-learning-how-to-calculate-the-range-of-a-data-set.jpg\"><img decoding=\"async\" class=\"alignnone size full wp image 4345\" src=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2024\/05\/sankey-diagram-icon-added-for-learning-how-to-calculate-the-range-of-a-data-set.jpg\" alt=\"Sankey Diagram Icon Added for Learning How to Calculate the Range of a Data Set\" width=\"623\" \/><\/a><\/div>\n<ul>\n<li>Select the fields to use in your Sankey chart here.<\/li>\n<\/ul>\n<div style=\"text-align: center;\"><a href=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2024\/05\/select-fields-for-learning-how-to-calculate-the-range-of-a-data-set.jpg\"><img decoding=\"async\" class=\"alignnone size full wp image 4345\" src=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2024\/05\/select-fields-for-learning-how-to-calculate-the-range-of-a-data-set.jpg\" alt=\"Select Fields for Learning How to Calculate the Range of a Data Set\" width=\"184\" \/><\/a><\/div>\n<ul>\n<li>One thing is essential when you select the fields: you must follow the sequence below:\n<ul>\n<li>Application Channels<\/li>\n<li>Initial Screening<\/li>\n<li>Conduct Interviews<\/li>\n<li>Employee Onboarding<\/li>\n<li>Total Candidates<\/li>\n<\/ul>\n<\/li>\n<li>You&#8217;ll be asked for a ChartExpo license key or email address.<\/li>\n<\/ul>\n<div style=\"text-align: center;\"><a href=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2024\/05\/license-key-for-learning-how-to-calculate-the-range-of-a-data-set.jpg\"><img decoding=\"async\" class=\"alignnone size full wp image 4345\" src=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2024\/05\/license-key-for-learning-how-to-calculate-the-range-of-a-data-set.jpg\" alt=\"License Key for Learning How to Calculate the Range of a Data Set\" width=\"531\" \/><\/a><\/div>\n<ul>\n<li>Add the key under the Visual section.<\/li>\n<\/ul>\n<div style=\"text-align: center;\"><a href=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2024\/05\/enter-license-key-under-visual-section-for-learning-how-to-calculate-the-range-of-a-data-set.jpg\"><img decoding=\"async\" class=\"alignnone size full wp image 4345\" src=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2024\/05\/enter-license-key-under-visual-section-for-learning-how-to-calculate-the-range-of-a-data-set.jpg\" alt=\"Enter License Key Under Visual Section for Learning How to Calculate the Range of a Data Set\" width=\"181\" \/><\/a><\/div>\n<ul>\n<li>After adding the key, you can see a chart for your data.<\/li>\n<li>You can add the top header text in the chart under the General section as follows:<\/li>\n<\/ul>\n<div style=\"text-align: center;\"><a href=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2024\/05\/add-header-general-section-for-learning-how-to-calculate-the-range-of-a-data-set.jpg\"><img decoding=\"async\" class=\"alignnone size full wp image 4345\" src=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2024\/05\/add-header-general-section-for-learning-how-to-calculate-the-range-of-a-data-set.jpg\" alt=\"Add Header General Section for Learning How to Calculate the Range of a Data Set\" width=\"623\" \/><\/a><\/div>\n<ul>\n<li>After that, you can click on Visual set, the number, and enable the options below:<\/li>\n<\/ul>\n<div style=\"text-align: center;\"><a href=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2024\/05\/enable-number-option-for-learning-how-to-calculate-the-range-of-a-data-set.jpg\"><img decoding=\"async\" class=\"alignnone size full wp image 4345\" src=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2024\/05\/enable-number-option-for-learning-how-to-calculate-the-range-of-a-data-set.jpg\" alt=\"Enable Number Option for Learning How to Calculate the Range of a Data Set\" width=\"623\" \/><\/a><\/div>\n<ul>\n<li>You can change the &#8220;Node Font Style&#8221; as follows:<\/li>\n<\/ul>\n<div style=\"text-align: center;\"><a href=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2024\/05\/change-node-font-style-for-learning-how-to-calculate-the-range-of-a-data-set.jpg\"><img decoding=\"async\" class=\"alignnone size full wp image 4345\" src=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2024\/05\/change-node-font-style-for-learning-how-to-calculate-the-range-of-a-data-set.jpg\" alt=\"Change Node Font Style for Learning How to Calculate the Range of a Data Set\" width=\"623\" \/><\/a><\/div>\n<ul>\n<li>You can change the &#8220;Level Font Style&#8221; as follows:<\/li>\n<\/ul>\n<div style=\"text-align: center;\"><a href=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2024\/05\/change-level-font-style-for-learning-how-to-calculate-the-range-of-a-data-set.jpg\"><img decoding=\"async\" class=\"alignnone size full wp image 4345\" src=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2024\/05\/change-level-font-style-for-learning-how-to-calculate-the-range-of-a-data-set.jpg\" alt=\"Change Level Font Style for Learning How to Calculate the Range of a Data Set\" width=\"623\" \/><\/a><\/div>\n<ul>\n<li>You can see the Level Labels as follows:<\/li>\n<\/ul>\n<div style=\"text-align: center;\"><a href=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2024\/05\/level-label-for-learning-how-to-calculate-the-range-of-a-data-set.jpg\"><img decoding=\"async\" class=\"alignnone size full wp image 4345\" src=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2024\/05\/level-label-for-learning-how-to-calculate-the-range-of-a-data-set.jpg\" alt=\"Level Label for Learning How to Calculate the Range of a Data Set\" width=\"623\" \/><\/a><\/div>\n<ul>\n<li>You can change the Node color by following the steps below:<\/li>\n<\/ul>\n<div style=\"text-align: center;\"><a href=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2024\/05\/change-node-color-for-learning-how-to-calculate-the-range-of-a-data-set.jpg\"><img decoding=\"async\" class=\"alignnone size full wp image 4345\" src=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2024\/05\/change-node-color-for-learning-how-to-calculate-the-range-of-a-data-set.jpg\" alt=\"Change Node Color for Learning How to Calculate the Range of a Data Set\" width=\"623\" \/><\/a><\/div>\n<ul>\n<li>Now we show you &#8220;How to change Level 1 color,&#8221; and then by following this, you can change the node color of other levels as follows:<\/li>\n<\/ul>\n<div style=\"text-align: center;\"><a href=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2024\/05\/change-level-1-color-for-learning-how-to-calculate-the-range-of-a-data-set.jpg\"><img decoding=\"async\" class=\"alignnone size full wp image 4345\" src=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2024\/05\/change-level-1-color-for-learning-how-to-calculate-the-range-of-a-data-set.jpg\" alt=\"Change Level 1 Color for Learning How to Calculate the Range of a Data Set\" width=\"623\" \/><\/a><\/div>\n<ul>\n<li>Below is the final look of the HR Dashboard in Power BI using ChartExpo after changing the nodes&#8217; color.<\/li>\n<\/ul>\n<div style=\"text-align: center;\"><a href=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2024\/05\/final-how-to-calculate-the-range-of-a-data-set.jpg\"><img decoding=\"async\" class=\"alignnone size full wp image 4345\" src=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2024\/05\/final-how-to-calculate-the-range-of-a-data-set.jpg\" alt=\"Final How to Calculate the Range of a Data Set\" width=\"623\" \/><\/a><\/div>\n<div style=\"text-align: center;\"><a href=\"https:\/\/chartexpo.com\/utmAction\/MTYrYmxvZytwYitjZXhwbytQQkk1NTIrU2Fua2V5Kw==\" target=\"_blank\" rel=\"noopener noreferrer nofollow\"><img decoding=\"async\" class=\"alignnone size-full wp-image-4345\" src=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2023\/04\/CTA-in-power-bi.jpg\" alt=\"\" width=\"205\" height=\"113\" \/><\/a> <a href=\"https:\/\/chartexpo.com\/utmAction\/MTYrYmxvZytncytjZXhwbytDRTU1Mis=\" target=\"_blank\" rel=\"noopener noreferrer nofollow\"><img decoding=\"async\" class=\"alignnone size-full wp-image-4345\" src=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2023\/04\/CTA-in-google-sheets.jpg\" alt=\"\" width=\"205\" height=\"113\" \/><\/a> <a href=\"https:\/\/chartexpo.com\/TrafficTracker\/MTYrYmxvZytzZStjZXhwbytDRTU1Mis=\" target=\"_blank\" rel=\"noopener noreferrer nofollow\"><img decoding=\"async\" class=\"alignnone size-full wp-image-4345\" src=\"https:\/\/chartexpo.com\/blog\/wp-content\/uploads\/2023\/04\/CTA-in-microsoft-excel.jpg\" alt=\"\" width=\"205\" height=\"113\" \/><\/a><\/div>\n<h4>Insights<\/h4>\n<ul>\n<li>Social Media is the top platform for job applications, with the most candidates (1100).<\/li>\n<li>The Company Career Page follows with 900 candidates.<\/li>\n<li>Events and Paper Media have fewer candidates, with 350 and 700 individuals, respectively.<\/li>\n<li>There are a total of 600 candidates for Direct Applications.<\/li>\n<li>Employee Referrals have 110 candidates.<\/li>\n<li>Social Media has the highest number of shortlisted candidates, with 32 hired and 400 not hired.<\/li>\n<li>The Company Career Page and Direct Applications have a large number of shortlisted candidates.<\/li>\n<li>Paper Media and Events have fewer entries that have been selected for consideration.<\/li>\n<li>Knocked Out candidates have the highest numbers on social media (800), with the Company Career Page (500) in second place.<\/li>\n<li>Employee Recommendations and Direct Applications have lower Knocked Out counts.<\/li>\n<\/ul>\n<h2 id=\"tb5\">What is the Best Practice for Using Range in Power BI?<\/h2>\n<p>Follow these best practices when using the RANGE function in Power BI. This facilitates efficient and effective data analysis.<\/p>\n<ol>\n<li><strong>Purposeful use:<\/strong>\u00a0Employ the RANGE function with clear objectives in mind. Define the purpose of the range and how it contributes to the analysis or visualization process.<\/li>\n<li><strong>Optimized range generation:<\/strong> Generate ranges that are optimized for the specific analysis requirements. Consider factors such as data granularity, relevant periods, or meaningful data segments.<\/li>\n<li><strong>Clear naming conventions:<\/strong>\u00a0Use clear and descriptive names for ranges to enhance the readability and maintainability of the Power BI model. Ensure that range names accurately reflect the data they represent.<\/li>\n<li><strong>Consider increment options:<\/strong>\u00a0When defining ranges, consider the increment options available in the RANGE function. Choose increments that align with the analysis needs and provide meaningful insights into the data.<\/li>\n<li><strong>Validate results:<\/strong>\u00a0Validate the results of range calculations to ensure accuracy and consistency. Cross-reference the generated ranges with expected outcomes to identify any discrepancies or errors.<\/li>\n<li><strong>Documentation:<\/strong>\u00a0Document the usage of ranges within the Power BI model. Provide explanations or comments to clarify the purpose and context of each range for future reference.<\/li>\n<li><strong>Performance optimization:<\/strong>\u00a0Optimize the performance of range calculations to minimize processing times and improve overall report responsiveness. Consider optimizing data models, filtering strategies, or using calculated columns versus measures based on performance requirements.<\/li>\n<\/ol>\n<h2>FAQs<\/h2>\n<h3>Which function is used to find the highest value in a range?<\/h3>\n<p>You can use the MAX function to find the highest value in a range. It evaluates a set of values and returns the maximum value. Simply provide the range of values as an argument to the MAX function.<\/p>\n<h3>How do I select a date RANGE in Power BI?<\/h3>\n<p>To select a date range in Power BI, use filters or slicers. Simply add a date field to the report. Then, use the filter or slicer visuals to choose the start and end dates for the desired range.<\/p>\n<h3>What is the RANGE function?<\/h3>\n<p>The RANGE function in Power BI allows you to define a range of values. It&#8217;s commonly used for filtering data within a specified range, such as dates or numerical intervals. This function helps segment and analyze data efficiently.<\/p>\n<h4 id=\"tb6\">Wrap Up<\/h4>\n<p>How to calculate the range of a data set is a fundamental aspect of data analysis. It provides valuable insights into the spread or dispersion of the data points.<\/p>\n<p>You obtain a simple yet powerful measure of variability by subtracting the minimum value from the maximum value. This calculation helps understand the extent of variation within the data and identifies outliers or extreme values. Additionally, the range offers a quick and easy way to compare the spread of different data sets or subsets.<\/p>\n<p>Despite its simplicity, the range remains useful in various fields, such as statistics, economics, and business analytics. It is a foundational concept for more advanced statistical analyses and aids decision-making processes. Moreover, the range complements other measures of dispersion, providing a broader perspective on data distribution.<\/p>\n<p>When interpreting the range, it&#8217;s essential to consider the context of the data and any potential limitations. While easy to calculate, the range may not capture the entire data variability, especially in the presence of outliers. Therefore, it&#8217;s often used with other measures such as standard deviation or interquartile range. This provides a more comprehensive analysis.<\/p>\n<p>Conclusively, understanding how to calculate and interpret the range empowers you to gain valuable insights from data. Then, you can make informed decisions to improve and achieve success.<\/p>\n","protected":false},"excerpt":{"rendered":"<p><p>Unlock the full potential of your data analysis with our ultimate guide on calculating the range of a data set. Essential knowledge for professionals in every field.<\/p>\n&nbsp;&nbsp;<a href=\"https:\/\/chartexpo.com\/blog\/how-to-calculate-the-range-of-a-data-set\"><\/a><\/p>","protected":false},"author":1,"featured_media":34967,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[906],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\r\n<title>How to Calculate Range of a Data Set: Unleash Insights -<\/title>\r\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\r\n<link rel=\"canonical\" href=\"https:\/\/chartexpo.com\/blog\/how-to-calculate-the-range-of-a-data-set\" \/>\r\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\r\n<meta name=\"twitter:title\" content=\"How to Calculate Range of a Data Set: Unleash Insights -\" \/>\r\n<meta name=\"twitter:description\" content=\"Unlock the full potential of your data analysis with our ultimate guide on calculating the range of a data set. 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