5
QuizMultiple Choice

Statistical Modeling — Test

Question 5 • Statistical Reasoning

Shoppers were surveyed about their spending for holiday shopping. The standard deviation of the amount shoppers spent was $⁢125 Which of the following is the best interpretation of this value?

Answer
A
The middle half of the amount shoppers spent has a range that is 125 dollars wide.
B
The amount shoppers spent typically varies by about 125 dollars from the mean.
C
Fifty percent of the amount shoppers spent is above 125 dollars.
D
The difference between the largest and smallest amounts shoppers spent was 125 dollars.

Explanation

Standard deviation describes the typical distance of data values from their mean. Here, shoppers' spending amounts typically vary by about $125 from the average amount spent. It does not describe the full range, the middle half's range, or the percentage of shoppers spending above $125.

AI-written and checked against the verified answer.

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