A frequency distribution is a table that displays the frequency, or the number of occurrences, of different values within a dataset. Constructing a frequency distribution in Excel can be useful for analyzing and understanding the characteristics of a dataset, and it can be easily done with a few simple steps.

Open a new Excel spreadsheet and enter the data that you want to analyze in the first column. Make sure that the data is organized and free of any errors or inconsistencies.

Create a second column next to the data and label it "Frequency." This column will be used to count the number of occurrences of each value in the dataset.

Sort the data in ascending order. This will make it easier to count the frequency of each value and to create the frequency distribution table. To sort the data, select the data range and go to the "Data" tab in the ribbon. Click on the "Sort" button and choose the option to sort in ascending order.

Use the COUNTIF function to count the frequency of each value in the dataset. The COUNTIF function counts the number of cells in a range that meet a specific criterion. To use the COUNTIF function, enter the following formula in the first cell of the "Frequency" column: "=COUNTIF(A:A, A1)". This formula will count the number of occurrences of the value in the first cell of the data column (A1). Then, copy the formula down the column to count the frequency of each value.

Create a new table to display the frequency distribution. To do this, insert a new worksheet into the spreadsheet and label the first column "Value" and the second column "Frequency". Then, copy the values and frequencies from the first worksheet and paste them into the table on the new worksheet.

Use the SUM function to calculate the total number of values in the dataset. To do this, enter the following formula in a cell below the frequency distribution table: "=SUM(B2:Bn)". This formula will add up all the values in the frequency column (B2:Bn), where "n" is the last row in the table.

Calculate the relative frequency of each value by dividing its frequency by the total number of values. To do this, create a new column in the frequency distribution table and label it "Relative Frequency." Then, use the following formula to calculate the relative frequency of each value: "=B2/Bn". This formula will divide the frequency of each value by the total number of values.

By following these steps, you can easily construct a frequency distribution in Excel and use it to analyze and understand the characteristics of your dataset.