Generate a frequency table for the following data: 3, 12, 25, 2, 3, 6, 17, 17, 15, 13, 20, 12, 21, 18, 19.
Use the ranges listed in the table below:

Range Number of Values Relative Frequency
1 – 5
6 – 10
11 – 15
16 – 20
21 – 25

What is the relative frequency for the range 21 – 25?
A) 0.04
B) 4
C) 0.13
D) 0.33

correct option is C- 0.13

Step-by-step explanation:

1 – 5 3

6 – 10 1

11 – 15 4

16 – 20 5

21 – 25 2

Rf= Frequency/Total number of population =2/15

=0.13

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The original list is: 3, 12, 25, 2, 3, 6, 17, 17, 15, 13, 20, 12, 21, 18, 19

It sorts to: 2, 3, 3, 6, 12, 12, 13, 15, 17, 17, 18, 19, 20, 21, 25

Use the sorted list to fill in the frequency table (see diagram below). We count how many values are from 1 to 5. There are 3 values between 1 and 5, and those values are: {2,3,3}. This is shown in red in the table below.

Then we count the number of values between 6 and 10. There is only one value (6). This is in green.

Next up is the number of values between 11 and 15. There are 4 values here: {12,12,13,15}. This is in blue.

Next up is the number of values between 16 and 20. There are 5 values here: {17,17,18,19,20}. This is shown in orange.

Finally, there are 2 values between 21 and 25. Those values are: {21,25}. This is shown in purple.

After you get all of the frequency values, you divide each frequency over 15 because there are 15 values in the original list.

The relative frequency for the range 21-25 is 0.13 approximately.