2
practice examMultiple Choice

Practice Exam

Question 2 • Statistics

Which is the correct interpretation of the standard deviation?

Answer
A
The number of free throws made out of 8 typically varies from the expected value by 1 point 4 free throws.
B
The mean number of free throws made typically varies from the expected number of free throws made by 1 point 4 free throws.
C
If many, many free throws are attempted, the expected number made would be 4 point 8 free throws.
D
The number of free throws made out of 8 typically varies from the expected number of free throws made by 1 point 9 6 free throws.

Explanation

The standard deviation describes the typical distance between an individual result and its expected value. Here, the number of free throws made out of 8 typically differs from the expected number, 4.8, by about 1.4 free throws. Choice B describes variation in sample means, not individual results; 1.96 in choice D is not the standard deviation here.

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