Question 1

Consider the following two quantitative data sets:

• Set A: The times in minutes) of all competitors in the 1,500-meter running track-and-field event at the most recent Olympic Games.

• Set B: The times in minutes) of all competitors in the 1,500-meter running track-and-field event at all high school meets in the United States last year.

Which variable would you expect to have the larger SD?

Set B

Set A

Question 2

Consider the following two quantitative data sets:

• Set A: The times in minutes) of all competitors in the 1,500-meter running track-and-field event at the most recent Olympic Games.

• Set B: The times (in minutes) of all competitors in the 1,500-meter running track-and-field event at all high school meets in the United States last year.

Determine whether the following statement provides valid reasoning:

We expect Set B to have a larger standard deviation because it would contain far more values.

Invalid

Valid

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