Question

Find the sum of lower limit of median class and modal class of the following distribution 0-5 5-10 10-15 15-20 20-25 frequency 10 15 12 20 9

Answer 1

Answer:

      →   Sum of lower limit of median class and modal class = 25   ←

Step-by-step explanation:

The given classes are 0-5 5-10 10-15 15-20 20-25

  Class Width    Frequency ( f )      Cumulative Frequency

        0 - 5                10                                      10

        5 - 10               15                                      25

        10 - 15              12                                      37

        15 - 20             20                                     57

        20 - 25              9                                      66

So we have

∑f = 10 + 15 + 12 + 20 + 9 = 66

∑f = 66

Case 1:-

Median is the middle value.

⇒ The number of values are Even. So there are two middle values.

In this case the middle values are 33rd value and 34th value.

These values lie in the class 10 - 15

⇒ Lower limit of Median Class = 10

Case 2:-

Mode is defined as the value which occurs most frequently in a set of data. It indicates the most common result.

So frequency of the class 15 - 20 is the greatest.

So 15 - 20 is the Modal Class.

⇒ Lower limit of Modal Class = 15

Now according to the requirement

⇒ Sum of lower limit of median class and modal class = 10 + 15

→   Sum of lower limit of median class and modal class = 25   ←

I hope it will help you.

Answer 2

Step-by-step explanation:

The modal class is the class having the maximum frequency.

The maximum frequency 20belongs to (15-20)

Here , n=66

n/2=66/2=33

Then 33lies in the class 10-15

Therefore 10-15 is the median class

So,

Sum of lower limit is 15+10=25

Hence 25 is the sum of lower limit of median class and modal class