Answer: 69.23
Step-by-step explanation:
Given data:
N = 8.
μ = 170.
Solution:
First we calculate for the mean.
= 158 + 95 + 175 + 180 + 95 + 129 + 228 + 300/8
= 1360/8
= 170.
Next we calculate for (xi - μ)
(158 - 170) = (-20)^2 = 400
(95 - 170) = (-75)^2 = 5625.
(175 -170 ) = (5)^2 = 25.
(180 -170) = (10)^2 = 100
(95 - 170) = (-75)^2 = 5625.
(129-170) = (-41)^2 = 1681
(228 -170) = (58)^2 = 3364.
(300-170) = (130)^2 = 16900.
Summation of (xi - μ)
= 400 + 5625 +25 + 100 + 5625 + 1681 + 3364 + 16900
= 33720.
S = Σ√(xi - μ) /n-1
= √( 33720 - 170 ) / 8-1
= √ (33550/7)
= √4792.86
= 69.23
Standard deviation is 69.3
