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What is the standard deviation of the following data set rounded to the nearest tenth? 300, 785, 670, 187, 760, 724

2 Answers

6 votes

Answer:

259.1

Explanation:

User Kudarap
by
5.7k points
3 votes
Define the data as the array
x = [300, 785, 670, 187, 760, 724].

The size of the array is n = 6

The standard deviation is
s = [Σ(x - μ)²/(n-1)]^(1/2)

The average is
μ = (300+785+670+187+760+724)/6 = 571

x-μ = [-271, 214, 99, -384, 189, 153]
(x-μ)²/5 = [14688, 9159, 1960, 29491, 7144, 4682]

Σ(x-μ)²/5 = 67125

s - √(67125) = 259.085

Answer: 259.1 (nearest tenth)
User Kostiantyn
by
6.4k points