Question

The following observations have been arranged in ascending order. If the median of the data is 63, find the valueof x.
29,32,48,50,x,x+2,72,78,84,95

Answer 1

Here, `n=10` (even)
`therefore " Median"=(((n)/(2))th" term" + ((n)/(2) +1)th " term")/(2)`
`rArr 63= (((10)/(2))th " term" +((10)/(2)+1)th " term")/(2)`
`rArr 63 = ("5th term + 6th term")/(2)`
`rArr (63)/(1) = (x+x+2)/(2)`
`rArr 63 xx 2 = 2x + 2`
`rArr 2x=126-2`
or `x = (124)/(2) = 62`
Hence, the value of x = 62.