By Team Aakash Byju's | 10th November 2022

How to Find Adjusted Frequency to Draw a Histogram for a Given Class?

?

To draw a histogram to represent the following frequency distribution, the adjusted frequency for the class 25−45 is:

A. 9

B. 5

C. 2

D. 7

Your options are

Detailed Explanation

The correct option is  C.  2

Arrow

The frequency distribution in  the given table has a class size  of 5.

5 - 10 => 5 10 - 15 => 5… so on.

So, the class interval 25-45 has a class size of 20. Split 25-45 into classes with class size 5.

  25 - 45 => 20 25 - 30 => 5 30 - 35 => 5 35 - 40 => 5 40 - 45 => 5

Total 4 classes.

Now, using the formula

Adjusted frequency = (Frequency × minimum class width) ÷ (width of the given class) Adjusted frequency =  (8 × 5) ÷ 20 = 2