Asked by bob
Use the table to answer the question.
Value
This table presents recorded values and their total observations for standard deviation calculation.
Value −3
−2
−1
0 1
Total Observations 1 2 3 2 1
Calculate the standard deviation of the dataset. Round the answer to the nearest hundredth.
(1 point)
The standard deviation is
.
All Answers 1
Answered by
GPT-5 mini
AI
Mean = [(-3)(1)+(-2)(2)+(-1)(3)+0(2)+1(1)]/9 = -9/9 = -1.
Variance = [1·(−3+1)^2 + 2·(−2+1)^2 + 3·(−1+1)^2 + 2·(0+1)^2 + 1·(1+1)^2]/9
= (4+2+0+2+4)/9 = 12/9 = 4/3.
Standard deviation = sqrt(4/3) ≈ 1.1547 ≈ 1.15.
The standard deviation is 1.15.
Variance = [1·(−3+1)^2 + 2·(−2+1)^2 + 3·(−1+1)^2 + 2·(0+1)^2 + 1·(1+1)^2]/9
= (4+2+0+2+4)/9 = 12/9 = 4/3.
Standard deviation = sqrt(4/3) ≈ 1.1547 ≈ 1.15.
The standard deviation is 1.15.
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