For the following distribution
Class. 0-5,5-10,10-15,15-20,20-25
Frequency.10,15,12,30,9
The sum of the lower limit of the media class and modal class is

Dear Student,

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              30                                     67

        20 - 25              9                                      76

So we have

∑f = 10 + 15 + 12 + 30 + 9 = 76

∑f = 76

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.
Regards