Question

Median and mean values of the marks obtained by the students of a class are 46.67 and 45.5 respectively. Find out mode of the marks.

Answer 1

Given,

Median (M) = 46.67
Mean $\left(\overline{\mathrm{X}}\right)$ = 45.5
Mode = Z

We know,
Z = 3M − 2$\left(\overline{\mathrm{X}}\right)$

or, Z = 3(46.67) − 2(45.5)
or, Z = 140.01 − 91
$\Rightarrow$ Z = 49.01

Hence, Mode (Z) of the marks is 49.01