Questions: 3.3 Homework Question 12 of 13 (2 points) Question Attempt 1 of Unlimited Cholesterol level: Following is a sample of HDL cholesterol levels (in milligrams per deciliter) in a group of people. 21, 22, 22, 24, 25, 26, 27, 28, 30, 32, 34, 36, 37, 37, 39, 40, 41, 43, 44, 48, 49, 51, 54, 55, 57, 58, 61, 62, 64, 64, 64, 65, 68, 72, 75, 78 Note that the median is 43.5, the first quartile is 31, and the third quartile is 61.5. Part: 0 / 2 Part 1 of 2 a) Construct a boxplot for these data.

Solution Steps

The five-number summary consists of the minimum, first quartile (Q1), median, third quartile (Q3), and maximum. From the problem, we know:

• Minimum: 21
• Q1: 31
• Median: 43.5
• Q3: 61.5
• Maximum: 78

The number line should span from at least the minimum value to the maximum value. In this case, a number line from 20 to 80 would be appropriate.

A vertical line is drawn at Q1 (31), another at the median (43.5), and another at Q3 (61.5). Connect the lines at Q1 and Q3 to form a box.

Draw horizontal lines (whiskers) extending from Q1 to the minimum (21) and from Q3 to the maximum (78).

Final Answer