The sum of lower limits of the modal class and the median class is (a) 20 (b) 30 (c) 40 (d) 50

As per the given data the let us calculate the cumulative frequency:

The lower limits of the median class:

Here n is even; then the median is given by the mean of (n/2)th observation

\(\begin{array}{l}\frac{N}{2}\end{array} \)

⇒

\(\begin{array}{l}\frac{66}{2}\end{array} \)

= 33

As 37 is just greater than 33,

Therefore, the median class is ’10 – 15′.

The lower limits of the median class = 10

The lower limits of the modal class:

Modal class=modal class with maximum frequency.

Therefore, the modal class is 15 – 20.

The lower limit of the modal class is 15.

Sum of lower limits of median class and modal class=10 + 15 = 25

The lower limits of the modal class = 25

Explore more such questions and answers at BYJU’S.