Question

Find the value of x if the median of the below data is 71. The data is - 63, 66 ,69, x, x+2, 76, 89 and 103

Answer 1

median of the data: 63,66,69,x,x+2,76,89,103 is 71

The number of observations in the data are 8. Hence, the median will be the mean of 3

rd

term and 4

th

term,

Thus,

2

x+x+2

=71

⇒2x+2=142

⇒x=70