Question

In 10 numbers, arranged in increasing order, the 7^th number is increased by 8, how much will the median be changed?

Answer 1

For any given set of data, the median is the value of its middle term.

Here, total observations = n = 10 (even)

If n is even, we have

Median =`1/2 [ "value  of"  (n/2)^"th" "term" + "value of"  (n/2 +1)^"th" "term" ]`

Thus, for n = 10, we have

Median =`1/2 [ "value  of"(10/2)^"th" "term" + "value  of"  (( 10 )/(2) + 1)^"th" "term" ]`

=`1/2 [ "value of "5^"th" "term" + "value of " 6^"th" "term" ]`

Hence, if the 7^th number is diminished, decreasing by 8, there is no change in the median value.