Question

Find the median of the following numbers:

95, 65, 56, 84, 34, 67, 76, 45, 89, 21

1. 65
2. 66
3. 67
4. 56

Answer 1

Correct Answer - Option 2 : 66

Concept:

The median is the middle most number of the series after arranging the numbers in the ascending order. For a series having the total number of elements n:

• If n is odd, the median is \(\rm{\left(n+1\over2\right)}^{th}\) element.
• If n is even, the median is average of \(\rm{\left(n\over2\right)}^{th}\) and \(\rm\left({n\over2}+1\right)^{th}\) elements.

Calculation:

Arranging the numbers in ascending order:

21, 34, 45, 56, 65, 67, 76, 84, 89, 95

Total elements are 10 so the median is average of 5th and 6th element

Median = \(\rm\left(65+67\over2\right)\) = 66