Question

Find the value of x , if median of 2,3,,+2,11,17is 9. (the observations are arranged in ascending order of magnitude).

Answer 1

Answer:

The observations are: 6,8,9,15,x,x+2,21,22,25,29

The number of observations are 10. Since, the observations are even, the median will be the mean of

2

n

and

2

n

+1 observations

median = mean of

2

10

and

2

10+2

observations

median = mean of 5

th

and 6

th

observations

median =

2

x+x+2

17=x+1

x=16