Question

S. An earthworm farmer examined two containers of a certain species of earthworms

so that he could learn about their lengths. He measured 25 earthworms in each
container and recorded their lengths in millimeters.
Here are histograms of the lengths for each container.
A
B
10
10 15 20 25 30 35 40 45 50 55 60 65 70 75 80
length in millimeters
5 10 15 20 25 30 35 40 45 50 55 60 65
length in millimeters
a. Which container tends to have longer worms than the other container?

b. For which container would 15 millimeters be a reasonable description of a
typical length of the worms in the container?
c. If length is related to age, which container had the most young worms?

Answer 1

a. Container A tends to have longer worms than Container B. The histogram for Container A shows that the majority of the worms have lengths between 40 and 70 millimeters, while the histogram for Container B shows that the majority of the worms have lengths between 10 and 40 millimeters.

b. For Container B, 15 millimeters would be a reasonable description of a typical length of the worms in the container. The histogram for Container B shows that the peak of the distribution is around 15-20 millimeters, indicating that this is the most common length for the worms in that container.

c. If length is related to age, then Container B had the most young worms. The histogram for Container B shows that the majority of the worms have lengths between 10 and 40 millimeters, which is smaller than the majority of the worms in Container A. This suggests that the worms in Container B are younger and have not yet reached their full length, while the worms in Container A are older and have grown to their full length.