Question

The age of the employee of a company are given. Find the mean, median and mode.

Age( in years)	$19$	$21$	$23$	$25$	$27$	$29$	$31$
Number of persons	$13$	$15$	$20$	$18$	$16$	$17$	$13$

Answer 1

Age in year$\left(x\right)$ Numbers of students$\left(f\right)$ $xf$ $cf$

19 13 247 13

21 15 315 28

23 20 460 48

25 18 450 66

27 16 432 82

29 17 493 99

31 13 403 112

175 112 2800

Then, mean $=\frac{\Sigma xf}{\Sigma x}=\frac{2800}{175}=16$

Here, $N=112$ then $\frac{112}{2}=56$

In the table, cumulative frequency greater than $56$ is $66$ where value of $x=25$

Then median is $25$

In the given table, greatest frequency is $20$ where value of $x=23$.

Hence, mode is $23$.