Question

Find the median of following observations 46, 64, 87, 41, 58, 77, 35, 90, 92 33. If 92 is replaced by 99 and 41 by 43 in above data coma find the new median

Answer 1

Step by step answer.

arrange the given data in ascending order.

33,35,41,46,58,64,77,87,90,92

Here, n = 10 (even)

so, median= n/2th + n/2+1th observation

= 10/2th + 10/2+1th observation

= 5th + 6th observation

= 58 + 64

= 122/ 2 mean = 61

median = 61

when 41 replaced with 43 and 92 replaced with 99

the number of observations doesn't change so the median will also not change