Question

Find the median of the given dataset.
16, 37, 38, 28, 45, 23, 76, 23, 83, 21

• A. 28
• B. 37
• C. 32.5
• D. 32

Answer 1

The correct option is C 32.5

Median refers to the value which lies in the middle of the data when arranged in an increasing or decreasing order.

First we arrange the data in ascending order: 16, 21, 23, 23, 28, 37, 38, 45, 76, 83

Since no. of observations is 10 (an even number), there will be two middle terms. In this caes, the median will be the average of $(\frac{10}{2}{)}^{th}$ and the $(\frac{10}{2}+1{)}^{th}$ terms.
Median = Average of $5^{th}$ and $6^{th}$ observations

= $\frac{28+37}{2}$ = 32.5