Question

If the mean and mode of a grouped data is 24 and 26.5 respectively then the median is ………

A) 24. 38 

B) 24. 83 

C) 23. 48 

D) 23. 84

Answer 1

Correct option is: B) 24. 83

Given that mean = 24, made = 26.5 

Empirical relation between mean, median and mode is 

Mode = 3 Median - 2 Mean

\(\Rightarrow\) Median = \(\frac {Mode + 2 \, Mean}3 = \frac {26.5 + 2 \times 24}3\) 

=\( \frac {26.5 + 48}3\)

= \( \frac {74.5}3 = 24.83\)

Hence, median of grouped data is 24.83

Answer 2

Correct option is: B) 24. 83