Michael record the number of miles he runs each week for the nine weeks 6,11,13,8,15,9,11,5,9 which box plot represents the data

Five number summary

Explanation:

The given list of values is {6, 11, 13, 8, 15, 9, 11, 5, 9}

It sorts to {5, 6, 8, 9, 9, 11, 11, 13, 15}

The middle most value is the second 9. We have four items below or at the median {5,6,8,9} and four values above the median {11,11,13,15}

The middle item of {5,6,8,9} is (6+8)/2 = 14/2 = 7. This is the value of Q1.

The middle item of {11,11,13,15} is (11+13)/2 = 24/2 = 12. This is Q3.

The min is 5 since it is the smallest of the original list.

The max is 15 because it is the largest of the original list.

The five number summary is

The boxplot that matches with this five number summary is the boxplot in the upper right corner.

The min is the left whisker. The max is the right whisker.

The left edge of the box is Q1. The right edge of the box is Q3.

The middle vertical line inside the box is the median.

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step-by-step explanation: