Question

10,11,12,15,17,19,22,24,29,33,38

Explanation:

Step1: Find the median

The data set is 10, 11, 12, 15, 17, 19, 22, 24, 29, 33, 38. There are 11 data - points. The median is the 6th value when the data is ordered. So, the median is 19.

Step2: Find the lower quartile (Q1)

The lower half of the data is 10, 11, 12, 15, 17. The median of the lower half (Q1) is the 3rd value, which is 12.

Step3: Find the upper quartile (Q3)

The upper half of the data is 22, 24, 29, 33, 38. The median of the upper half (Q3) is the 3rd value of this half, which is 29.

Step4: Identify the minimum and maximum

The minimum value is 10 and the maximum value is 38.

Step5: Analyze the box - and - whisker plots

In a box - and - whisker plot, the left - hand side of the box is Q1, the line inside the box is the median, the right - hand side of the box is Q3, the left whisker extends to the minimum, and the right whisker extends to the maximum. The correct box - and - whisker plot should have the box starting at 12, the line inside at 19, the box ending at 29, the left whisker starting at 10 and the right whisker ending at 38.

Answer:

A. 10, 11, 12, 15, 17, 19, 22, 24, 29, 33, 38 has median 19, Q1 = 12, Q3 = 29, min = 10, max = 38. The box - and - whisker plot in option A has the box starting at 12, median line at 19, box ending at 29, left whisker at 10 and right whisker at 38. So the answer is A.