The FREQUENCY function in Excel is used to count how often values occur within a range of values, and it returns a vertical array of numbers. This function is useful for statistical analysis and is typically used to create a frequency distribution.
Syntax
=FREQUENCY(data_array, bins_array)
data_array
: The array or range of data for which you want to count frequencies.bins_array
: The array or range of bins into which you want to group the values.
Example
Suppose you have a list of exam scores for a group of students, and you want to create a frequency distribution to see how many students scored within specific score ranges.
Data
Scores |
---|
55 |
70 |
85 |
90 |
75 |
60 |
80 |
95 |
50 |
65 |
You want to count how many scores fall within the ranges:
- 0-59
- 60-69
- 70-79
- 80-89
- 90-100
Steps
Enter the scores into a column, e.g., A2
.Define the bins in another column, e.g., B2:B6:
- B2: 59
- B3: 69
- B4: 79
- B5: 89
- B6: 100
Select the range where you want to display the frequency distribution, e.g., C2
(one more than the number of bins, because the FREQUENCY function will return an array that includes the count of values above the highest bin).Enter the FREQUENCY function as an array formula. In the formula bar, enter:
=FREQUENCY(A2:A11, B2:B6)
Press
Ctrl+Shift+Enter
to enter it as an array formula. Excel will enclose the formula in curly braces{}
.
Result
The cells C2
will show the frequency distribution:- C2: Number of scores <= 59
- C3: Number of scores between 60 and 69
- C4: Number of scores between 70 and 79
- C5: Number of scores between 80 and 89
- C6: Number of scores between 90 and 100
- C7: Number of scores > 100 (which should be 0 in this example)
Example with Data
Bin Range | Frequency |
---|---|
<= 59 | 2 |
60-69 | 2 |
70-79 | 2 |
80-89 | 2 |
90-100 | 2 |
The FREQUENCY function has automatically grouped the scores into the specified bins and counted how many scores fall into each bin.
This method allows you to quickly and effectively create a frequency distribution in Excel, which is helpful for data analysis and visualization.