Question

Consider the following list of ages.

72, 64, 82, 81, 84, 51, 81, 64, 75, 53, 98, 78, 71, 35, 99, 88, 82, 52, 74, 86, 88, 74, 94, 80, 52, 76, 70, 74, 64, 83, 95

(a)

Create a five-number summary for these ages.

Lowest Value

Lowest quartile

Median

Highest quartile

Highest value

(b)

Create a boxplot using the five-number summary from part (a).

The box-and-whisker plot has a horizontal axis numbered from 30 to 100. The box-and-whisker is also horizontal. The left whisker is approximately 36, the left edge of the box is approximately 63, the line inside the box is approximately 75, the right edge of the box is approximately 85, and the right whisker is approximately 98.

The box-and-whisker plot has a horizontal axis numbered from 30 to 100. The box-and-whisker is also horizontal. The left whisker is approximately 51, the left edge of the box is approximately 67, the line inside the box is approximately 76, the right edge of the box is approximately 83.5, and the right whisker is approximately 99. There is one outlier located at 35.

The box-and-whisker plot has a horizontal axis numbered from 30 to 100. The box-and-whisker is also horizontal. The left whisker is approximately 35, the left edge of the box is approximately 64, the line inside the box is approximately 76, the right edge of the box is approximately 84, and the right whisker is approximately 99.

The box-and-whisker plot has a horizontal axis numbered from 40 to 100. The box-and-whisker is also horizontal. The left whisker is approximately 49.5, the left edge of the box is approximately 70, the line inside the box is approximately 78, the right edge of the box is approximately 86, and the right whisker is approximately 99.

Answer 1

Solution:

We have to first sort the data in ascending order of magnitude as:

35,51,52,52,53,64,64,64,70,71,72,74,74,74,75,76,78,80,81,81,82,82,83,84,86,88,88,94,95,98,99

The five-number summary is:

Lowest Value	35
Lowest Quartile	64
Median	76
Highest Quartile	84
Highest Value	99

The lowest value is the smallest value

The lowest quartile is the middle value of the first half of the data.

The median is the middle value of the whole data

The highest quartile is the middle value of the second half of the data

The highest value is the largest value

(b) Create a boxplot using the five-number summary from part (a).

Answer:

The box-and-whisker plot has a horizontal axis numbered from 30 to 100. The box-and-whisker is also horizontal. The left whisker is approximately 35, the left edge of the box is approximately 64, the line inside the box is approximately 76, the right edge of the box is approximately 84, and the right whisker is approximately 99.