Q. 35.0( 1 Vote )

# Consider the following distribution:

The Sum of the lower limits of the median class and the modal class is

A. 15

B. 25

C. 30

D. 35

Answer :

We need to find – (1) Median class

(2) Modal class

First we’ll find (1) Median class.

To find median class,

Assume Σf_{i} = N = Sum of frequencies,

f_{i} = frequency of class intervals

and C_{f} = cumulative frequency

Lets form a table.

So, N = 66

⇒ N/2 = 66/2 = 33

The cumulative frequency just greater than (N/2 = ) 33 is 37, so the corresponding median class is 10 - 15.

∴ median class is 10 - 15.

To find (2) Modal class,

Here, the maximum class frequency is 20.

The class corresponding to this frequency is the modal class. ⇒ modal class = 15 - 20

Lower limit of median = 10 and lower limit of mode = 15

Sum = 10 + 15 = 25

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