Find the mean, variance and standard deviation for the first six odd natural numbers.

Odd natural numbers = 1, 3, 5, 7, 9, …

First Six Odd Natural Numbers = 1, 3, 5, 7, 9, 11


To find: MEAN


We know that,






To find: VARIANCE


xi







1



1 – 6 = -5



(-5)2 = 25



3



3 – 6 = -3



(-3)2 = 9



5



5 – 6 = -1



(-1)2 = 1



7



7 – 6 = 1



(1)2 = 1



9



9 – 6 = 3



(3)2 = 9



11



11 – 6 = 5



(5)2 = 25









= 11.67


To find: STANDARD DEVIATION




= 3.41


1