# Find the median of the following numbers: 59, 67, 51, 88, 23, 61, 71, 15, 39, 29

16 views

closed

Find the median of the following numbers:

59, 67, 51, 88, 23, 61, 71, 15, 39, 29

1. 65
2. 55
3. 45
4. 75

by (30.0k points)
selected

Correct Answer - Option 2 : 55

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:

15, 23, 29, 39, 51, 59, 61, 67, 71, 88

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

Median = $\rm\left(51+59\over2\right)$ = 55

∴ Median is 55.