To find the percentage of 6th graders who did between 6 and 14 push-ups, we need to calculate the interquartile range (IQR) first. The IQR is the difference between the upper quartile (Q3) and the lower quartile (Q1).
IQR = Q3 - Q1
IQR = 14 - 6
IQR = 8
So, the IQR is 8. This means that approximately 50% of the 6th graders did between 6 and 14 push-ups (since the IQR represents the middle 50% of the data in the box plot).
Measures of Variation in Box Plots Practice
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Question
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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 between 6 and 14 push-ups?
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