27
QuizMultiple Choice

Standard Deviation — Quiz

Question 27 • Algebra II

The number of cars sold at a dealership over several weeks is given. 14 , 23 , 31 , 29 , 33 What is the standard deviation for this set of population data? Standard deviation: σ=sqrt(((x_1−μ)^2+(x_2−μ)^2+...+(x_N−μ)^2)/(N))

Answer
A
47 point 2
B
12 point 4
C
15 point 4
D
6 point 9

Explanation

The mean is (14 + 23 + 31 + 29 + 33) / 5 = 26. The squared deviations from 26 add to 144 + 9 + 25 + 9 + 49 = 236, so the population variance is 236 / 5 = 47.2. Taking the square root gives σ ≈ 6.9, so the correct choice is 6.9.

AI-written and checked against the verified answer.

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