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

Respuesta :

Answer: 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

Answer:  C) 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.

  • Row 1's frequency divides over 15 to get 3/15 = 0.2
  • Row 2's frequency divides over 15 to get 1/15 = 0.0667 approximately which rounds to 0.07
  • Row 3's frequency divides over 15 to get 4/15 = 0.2667 approximately which rounds to 0.27
  • Row 4's frequency divides over 15 to get 5/15 = 0.3333 approximately which rounds to 0.33
  • Row 5's frequency divides over 15 to get 2/15 = 0.1333 approximately which rounds to 0.13

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

Ver imagen jimthompson5910