Book Online Demo

Check Your IQ

Try Test

Courses

Offline Centres

Calculate the median in the following frequency distribution

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

90

70

83.75

85

answer is D.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Given data,
Question Image

Then,

Median is given by

L + \frac{\frac{n}{2} - c . f .}{f} \times i

where

L

is the lower limit of the median class.
(median class is the class where

{\frac{n}{2}}^{th}

term is lying)

c . f .

is the cumulative frequency of the class preceding the median class

f

is the frequency of the median class,

i

is the class interval of the median class.
From the above table,

L = 70

Also,

\frac{n}{2} = \frac{75}{2}

\Rightarrow \frac{n}{2} = 37.5

c . f . = 15

f = 15

i = 10

Therefore,

median = 70 + \frac{37.5 - 15}{15} \times 10

\Rightarrow median = 70 + \frac{22.5}{15} \times 10

\Rightarrow median = 70 + 7.5 \times 2

\Rightarrow median = 70 + 15

\Rightarrow median = 85

Thus, the median of the given data is 85.
Hence, the correct option is 4.

Watch 3-min video & get full concept clarity

JEE

NEET

Foundation JEE

Foundation NEET

CBSE