What is the mean deviation of first 10 even natural numbers?

Step-by-step solution

First 10 Even Natural numbers are 2, 4, 6, 8, 10, 12, 14, 16,18 and 20. Mean, x = x_i n = 2+4+6+ +20 10 aligned & x = 2(1+2+3+ +10) 10 & x = 1 5 10(10+1) 2 =11 aligned Now, To calculate Mean deviation, we should calculate x i- x for each observation. aligned & x i-:-9,-7,-5,-3,-1,1,3,5,7,9 & |x i-|: 9,7,5,3,1,1,3,5,7,9 aligned Mean deviation, M.D. = |x i- x | n aligned & M.D. = 9+7+5+3+1+1+3+5+7+9 10 & M.D. = 2(1+3+5+7+9) 10 = 2 25 10 & M.D. =5 aligned