2
QuizMultiple Choice

Measures of Variability — Quiz

Question 2 • Statistical Reasoning

Without making any calculations, which distribution of data has the smallest standard deviation?

Answer
A
1, 1, 1, 1, 1, 1
B
1, 1, 1, 2, 2, 2
C
1, 1, 1, 1, 1, 2
D
1, 1, 1, 1, 2, 2

Explanation

Standard deviation measures how spread out the data values are from their mean. In choice A, every value is 1, so there is no spread at all and the standard deviation is zero. Each other choice contains both 1s and 2s, so its values are spread out and its standard deviation is greater.

AI-written and checked against the verified answer.

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