Question

Find standard deviation of the observation 3,5,2,7,8.​

Answer 1

Answer:

standard deviation of the observation 3,5,2,7,8.​  =  2.28

Step-by-step explanation:

Observations

3 , 5 , 2 , 7 , 8

n = 5   number of observations

Sum = 3 + 5 + 2 + 7 + 8 = 25

Mean = Sum/Number of observation = 25/5 = 5

X                       3 5 2 7 8

Mean               5 5 5 5 5

X - Mean              -2 0 -3 2 3

(X - Mean)²       4 0 9 4 9

Σ(X - Mean)² = 4 + 0 + 9 + 4 + 9 = 26

Standard Deviation  = √(Σ(X - Mean)² / n) = √26/5

= √5.2

= 2.28