Question

The following are prices of selected digital cameras. $158, $95 ,$175, $180 ,$95,$129, $228, $300 Find the standard deviation.

Answer 1

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