Question

Calculate the median for the following data.

Marks (out of 60.)	$32$	$27$	$26$	$24$	$23$	$21$
Number of students	$6$	$4$	$7$	$9$	$16$	$2$

• A. $22$
• B. $23$
• C. $24$
• D. $25$

Answer 1

Answer: (C)

$24$

Total number of students $=6+4+7+9+16+2=44$

Since, the number of students is even, the median will be mean of ${\left(\frac{n}{2}\right)}^{th}$ and ${\left(\frac{n+2}{2}\right)}^{th}$ number

Median = Mean of $(\frac{44}{2}{)}^{th}$ and $(\frac{44+2}{2}{)}^{th}$

Here, ${22}^{nd}$ and ${23}^{rd}$ number is $24$ Kg if arranged in ascending order.

Hence, median = $\frac{24+24}{2}=24$ kg