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Question

A vertical number line representing the number of push-ups ranges from 0 to 22 in increments of 2. A box plot to the right of the number line shows the following: the minimum value is 0; the maximum value is 21; the lower quartile is 6; the median value is 10; and the upper quartile is 14.

The box plot represents the number of push-ups a group of 6th graders were able to do. Approximately what percentage of 6th graders did fewer than 6 push-ups?

(1 point)
Approximately
% of 6th graders did fewer than 6 push-ups.
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Answer 1

Approximately 25% of 6th graders did fewer than 6 push-ups.

This can be determined by finding the interquartile range (IQR), which is the difference between the upper quartile and lower quartile. In this case, IQR is 14 - 6 = 8. Since the lower quartile is 6, any values below 6 would be considered outliers. Out of the total range of 22 push-ups, the values below the lower quartile would make up 6/22 = 0.2727 or approximately 27%, but since they are considered outliers, approximately 2% less would fall below the lower quartile, resulting in approximately 25% of 6th graders doing fewer than 6 push-ups.

Answer 2

The box plot represents the number of push-ups a group of 6th graders were able to do. Approximately what percentage of 6th graders did between 6 and 14 push-ups?

(1 point)
Approximately
% of 6th graders did between 6 and 14 push-ups.