Question

A biologist measures the length (in inches) of a random sample of 75 newts. The first

quartile is 7.2 inches and the third quartile is 9.7 inches. The four smallest newest measure:
3.2
3.6
3.9
4.1
After making a boxplot of his data, which of these statements correctly describes the
graph?
a. The lower whisker extends to 4.7.
b. There is one low outlier and the lower whisker extends to 3.6.
c. There is one low outlier and the lower whisker extends to 3.45.
d. There are four low outliers and the lower whisker extends to an unknown value.
e. There are three low outliers and the lower whisker extends to 4.1.

Answer 1

The lower whisker extends to 4.7.

Step-by-step explanation:

The biologist measures the length of a random sample of 75 newts. The first quartile is 7.2 inches and the third quartile is 9.7 inches. The four smallest newts measure: 3.2, 3.6, 3.9, and 4.1. To make a box plot, we can first find the range by subtracting the minimum value (3.2) from the maximum value (9.7), so the range is 9.7 - 3.2 = 6.5. The lower whisker extends to the end of the smallest value (3.2), so the statement that correctly describes the graph is a. The lower whisker extends to 4.7.