Question

What is the median of 11,2,9,15,17,10,3,5,21,1,8,11,6

Answer 1

we have to find the median of data ; 11,2,9,15,17,10,3,5,21,1,8,11,6

solution : first arrange the given data in ascending or descending order.

in ascending order : 1 ,2 , 3 , 5 , 6 , 8 , 9 , 10 , 11 , 11 , 15 , 17 , 21

now find the number of observations.

here there are 13 observations. i.e., odd

so we should use formula of median = $\frac{n+1}{2}$th term

$\frac{n+1}{2}$th term of above data (after arranging in ascending order) = (13 + 1)/2 = 7th term = 9

Therefore the median is 9.

Answer 2

Given:

11,2,9,15,17,10,3,5,21,1,8,11,6

To find:

The median

Solution:

11,2,9,15,17,10,3,5,21,1,8,11,6

Median:

• Median is the middle number in a sorted data. To find the median, First, we need to set the given data in ascending order then find the exact middle value.

11,2,9,15,17,10,3,5,21,1,8,11,6

First, arrange the given data in ascending order:

Ascending order = 1, 2, 3, 5, 6, 8, 9, 10, 11, 11, 15, 17, 21

The middle number from the above-arranged data is the median.

The middle number is 9

Hence, the median is 9