A Commuter Travels Many Miles to Work Each Morning

question 27

Multiple Choice

A commuter travels many miles to work each morning. She has timed this trip 5 times during the last month. The time (in minutes) required to make this trip was 38,33,36,47,and 41. What is the standard deviation for this sample data?

• A) 28.5
• B) 11
• C) 22.8
• D) 5.34
• E) 4.77

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Definitions:

Central 68%

Central 68% is a statistical term that refers to the percentage of data within one standard deviation of the mean in a normal distribution, implying that about 68% of the data fall within this range.

Standard Deviation

A measure of the amount of variation or dispersion in a set of values, indicating how much the values differ from the mean.

IQR

Interquartile Range, a measure of variability, indicates the range within which the middle 50% of a data set lies.

Median

The middle value in a data set when the numbers are arranged in ascending or descending order, or the mean of the two middle numbers if the data set has an even number of values.