Question

A wildlife biologist captured and released 26 male whitetail deer from two different forests and weighed them to the nearest pound. She captured 13 deer from Big Rock forest and 13 deer from Red River forest. She then calculated the following statistical information.

Big Rock Red River
First Quartile 151.5 143
Second Quartile 160 155 (Median)
Third Quartile 191 216

Based on these samples, what generalization can be made?

a. The median is higher for Red River forest than for Big Rock forest.

b. Big Rock forest has more deer that weigh 155 pounds or less compared to Red River forest.

c. The interquartile range for Red River forest is greater than the interquartile range for Big Rock forest.

d. Red River forest has more deer that weigh 160 pounds or more compared to Big Rock forest.

Answer 1

the answer is B. Big Rock forest has more deer that weigh 155 pounds or less compared to Red River forest. it is the only one that matches the data

Answer 2

The interquartile range is found by calculating the difference between the third quartile and the first quartile.

Big Rock forest Red River forest

191 inches - 151.5 inches = 39.5 inches 216 inches - 143 inches = 73 inches

Therefore, the interquartile range for Red River forest is greater than the interquartile range for Big Rock forest.