Question

(e) Find the median of 5,7,10,9,5,12,15,12,18,20. If 9 is replaced by 14 what will be the new median?

Answer 1

Answer:

there is two medians 5and 12

Answer 2

Answer:

Median = 12

Step-by-step explanation:

Given: 5,7,10,9,5,12,15,12,18,20.

If 9 is replaced by 14,

then 5,7,10,14,5,12,15,12,18,20.

First order the numbers either ascending or descending order.

Ascending order: 5, 5, 7, 10, 12, 12, 14, 15, 18, 20.

Median (even no.) = [(n/2)th and (n/2 + 1)th place]

                              = [(10/2)th and (10/2 + 1)th place]

                              = [ 5th and (5+ 1)th place]

                              = [12 and 12]

therefore, median = 12