Question

the following data have been arranged in asscending order of magnititude 45,60,63,
x,x+2,75,85,100 if the median of the data is 69 find the value of x

Answer 1

Heya user ,
Here is your answer !!

Given data :
45,60,63,x,x+2,75,85,100

Median = The middlemost value.

Since , in the data given above , there are 8 observation ,
Median is = (n /2 obs. + (n+1)/2 obs. )/2
=> 69 = ( 4th obs. + 5th obs. )/2
=> 138 = x + x + 2
=> 136 = 2x
=> 68 = x ( Ans)

Hope it helps !!

Answer 2

(45+60+63+x+x+2+75+85+100)/8 =69
(430+2x)/8 = 69
430+2x = 552
2x = 552 -430
2x = 122
x = 61