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Grouped Data
Sometimes a set of data values has many numbers that show up over and over again. Instead of
typing those numbers in over and over again you can save time by typing in the numbers that
repeat along with how many times it repeats.
Example: Multiple Frequencies
The following is a list of data values that are ungrouped.
5, 7, 8, 8, 5, 3, 4, 5, 3, 3, 5, 7, 8, 8, 8, 7, 5, 4, 3, 6, 5, 4, 5, 9
The following table shows the same set of data values by showing each different value and how
many times the value appears in the data set. This is called a grouped data set.
Value Frequency
3 4
4 2
5 7
6 1
7 3
8 5
9 1
The number 5 appears 4 times in the data set. The number 7 appears 3 time in the data set and so
on. If you add up the frequencies, there are 23 numbers in our data set. Data with a frequency
count of repeated values is known as grouped data. If the values are stored in L1, and the
frequencies are stored in L2, we can call the 1-Var Stats command by typing 1-Var Stats L1, L2
and then pressing the ENTER key.
Example: Commuting Time
The following table lists the frequency classes for the length in minutes of the commute for all
32 employees of a company. We’ll use 1-Var Stats to describe the center and spread of the data.
Daily Commuting Time in minutes for Employees.
Time Frequency
5 4
7 2
8 11
9 7
12 4
15 3
17 1
21