If the median of the data 6,7, x-2, x, 18 and 21 written in ascending order is 16 , then the variance of that data is

Step-by-step solution

Since, there are six observations and are written in ascending order then aligned & Median = ( n 2 )^ th observation + ( n 2 +1 )^ th observation 2 & x-2+x 2 =16 & 2 x-2=32 & 2 x=34 x=17 aligned So the observations are 6,7,15,17,18 and 21 . aligned & Mean = 6+7+15+17+18+21 6 & x = 84 6 =14 aligned Variance = 1 n (x_i-x )^2= 188 6 = 94 3 =31 1 3