Math Problem Statement
Both data sets have a mean of
One has a standard deviation of 16, and the other has a standard deviation of 24.
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Part 1
Which data set has which deviation?
A.
(a) has a standard deviation of 16 and (b) has a standard deviation of 24, because the data in (b) have less variability.
B.
(a) has a standard deviation of 24 and (b) has a standard deviation of 16, because the data in (a) have more variability.
Solution
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Math Problem Analysis
Mathematical Concepts
Statistics
Standard Deviation
Data Variability
Formulas
Standard deviation formula: σ = sqrt[(Σ(xi - μ)^2) / N]
Theorems
Properties of standard deviation: larger standard deviation indicates more variability
Suitable Grade Level
Grades 10-12
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