Question

Ages Number of students

15-18 2

19-22 2

23-26 8

27-30 2

31-34 10

35-38 6

Based on the frequency distribution above, find the relative frequency for the class with lower class limit 35

Give your answer as a percent, rounded to one decimal place.

Relative Frequency =

Answer 1

Relative frequency of the (35 -38) class = 0.2 = 20.0%

Explanation:

Relative frequency is a measure of comparing a variable's frequency with the total/cumulative frequency.

Mathematically, it is given as

Relative frequency = (frequency of variable)/(total or cumulative frequency)

Ages Number of students

15-18 2

19-22 2

23-26 8

27-30 2

31-34 10

35-38 6

To find the relative frequency for the class with lower class limit 35

From the table,

The frequency of the (35 - 38) class = 6

Total or cumulative frequency = sum of all the frequencies in the table = 2+2+8+2+10+6 = 30

Relative frequency of the (35 -38) class = 6/30 = 0.2 = 20.0%

Answer 2

We want to get the relative frequency for the class with a lower limit of 35, we will get that it is 20%.

How to get the relative frequency?

To get it we need to get the quotient between the number of people with a lower limit of 35 (are 6 of these) and the total number of students (2 + 2 + 8 + 2 + 10 + 6 = 30), times 100%.

So here the relative frequency is just:

RF = (6/30)*100% = 20%

Meaning that 20% of the students are in the range from 35 to 38.

If you want to learn more about relative frequency, you can read: