Question

The number of cars sold at a dealership over several weeks is given below. 14, 23, 31, 29, 33 What is the standard deviation for this set of population data? Standard deviation: mc005-1.jpg

Answer 1

The answer is A.6.9.

Explanation:

Answer 2

7.6811

Explanation:

Given that is a sample of size 5, with readings as

14, 23, 31, 29, 33

Sum = 130: Hence mean = 130/5 =26

Let us find for each entry x the value x-26

X 14 23 31 29 33

(x-26)^2 144 9 25 9 49

Hence variance = average of
`(x-26)^2== (236)/(5) =47.20`

Std dev =
`√(47.2) \\`

Population std dev = Sample std dev/sq rt (n-1)

=
`(√(47.2) )/(√(5-1) ) \\=7.6811`