4
QuizMultiple Choice

Measures of Variability — Quiz

Question 4 • Statistical Reasoning

A box of LED light bulbs was tested to see how long the light bulbs last. The standard deviation of the light bulb lifetime data was five years. Which of the following is the best interpretation of this value?

Answer
A
The middle half of the light bulb lifetime data has a range that is five years wide.
B
The lifetime of the light bulbs typically varies by about five years from the mean.
C
The difference between the longest and shortest light bulb lifetime was five years.
D
Fifty percent of the light bulb lifetime data is below five years.

Explanation

Standard deviation describes how far data values typically lie from their mean. A standard deviation of five years means bulb lifetimes typically vary by about five years from the average lifetime. It does not describe the overall range, the median, or the middle half of the data.

AI-written and checked against the verified answer.

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