Question

calculate the mode of the following distribution: class 10-15,15-20,20-25,30-35. frequency:4,7,20,8,1​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Given,

The frequency distribution of a class  class 10-15,15-20,20-25,30-35. frequency:4,7,20,8,1​

To Find,

The mode of the class.

Solution,

The formula for calculating the mode of a class is

Mode = $l+[\frac{f1-f0}{2f1-f0-f2}]h$

Where, l = lower class limit of modal class, h = class size, f1 = frequency of modal class, f0 = frequency of class proceeding to modal class, f2 = frequency of class succeeding to modal class.

Now,

Mode = $20+[\frac{20-7}{2*20-7-8}]5$

Mode = 20+(13/25)*5

Mode = (100+13)/5 = 113/5

Mode = 22.6

Hence, the mode of the class is 22.6