Find the median of the given dataset:

16, 37, 38, 28, 45, 23, 76, 23, 83, 21

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32.5

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Solution

The correct option is D 32.5
Median refers to the value which lies in the middle of the data when arranged in an ascending or descending order.

First we shall 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 case, the median will be the average of $\frac{10}{2}$ and the $\frac{10}{2} + 1$ th terms.

Median = Average of 5th and 6th observations

= $\frac{28 + 37}{2} = \frac{65}{2} = 32.5$

Therefore, the median of the given data set is 32.5

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