Question

The mean and mode of a frequency distribution are 28 and 16 respectively. The median is

(a) 22 (b) 23.5 (c) 24 (d) 24.5

Answer 1

Solution;

Mode = 3 $\times$Median - 2$\times$Mean

=> 16= 3 $\times$median - 2$\times$28

=> 16= 3 $\times$median - 56

=> 3$\times$ median= 72

=> median= $\frac{72}{3}$= 24

so, Median is 24