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4. fill in the five number summary to represent the data. (boxplot is n…

Question

  1. fill in the five number summary to represent the data. (boxplot is not drawn to scale)

Explanation:

Step1: Identify minimum value

The minimum value of the data set is the left - most value on the number line for the box - plot, which is represented by the end of the left whisker. So A is the minimum value.

Step2: Identify first quartile ($Q_1$)

The first quartile is the left - hand side of the box. So B is $Q_1$.

Step3: Identify median

The median is the line inside the box. So C is the median.

Step4: Identify third quartile ($Q_3$)

The third quartile is the right - hand side of the box. So E is $Q_3$.

Step5: Identify maximum value

The maximum value of the data set is the right - most value on the number line for the box - plot, which is represented by the end of the right whisker. So F is the maximum value.

Answer:

A. Minimum value
B. First quartile ($Q_1$)
C. Median
E. Third quartile ($Q_3$)
F. Maximum value