Question

The runs scored by a batsman in 10 matches are 34, 65, 23, 11, 28, 56, 87, 54, 98 and 12 respectively.
What is the median of the runs scored in these 10 matches?

• A. 45
• B. 38
• C. 46
• D. 44

Answer 1

The correct option is D

44

The Median of a given set of observation is the value which divides it into two equal parts.
In the above question, the number of observations is 10, which is even. When the data is arranged in ascending order

$\text{Median}=\frac{{\frac{n}{2}}^{th}term+{(\frac{n}{2}+1)}^{th}term}{2}$

Arranging the numbers in ascending order, we get the following order:
11, 12, 23, 28, 34, 54, 56, 65, 87, 98.

$\therefore \text{Median}=\frac{34+54}{2}=44$ .