1
92 97 53 90 95 98
Mean = Sum of the Values / Number of Values =
[ 92 + 97 + 53 + 90 + 95 + 98 ] / 6 = 87. 5
Variance =
(92 - 87. 5) = 4.5 ⇒ 4.5^2 ⇒ 20.25
(97 - 87.5) = 9.5 ⇒ 9.5^2 = 90.25
(53 - 87.5) = -34.5 ⇒ (-34.5)^2 = 1190.25
(90 - 87. 5) = 2.5 ⇒ 2.5^2 = 6.25
(95 - 87.5) = 7.5 ⇒ 7.5^2 ⇒ 56.25
(98 - 87.5) = 10.5 ⇒ 10.5^2 ⇒ 110.25
Add the values in the last column = 1473.5
Take this value and divide it by the number of data values = 6
1473.5 / 6 = 245.58
The standard deviation is the square root of this = 15.7
Second answer