Question

The box plot represents the distribution of speeds, in miles per hour, of 100 cars as

they passed through a busy intersection.
a. What is the smallest value in the data set? Interpret this value in the situation.
b. What is the largest value in the data set? Interpret this value in the situation.
c. What is the median? Interpret this value in the situation.
d. What is the first quartile (Q1)? Interpret this value in the situation.

Answer 1

Answer: A: The smallest value is 8.

B: The largest value is 44.

C: The median is 20.

D: The first Quartile (Q1) is 12

E: The third Quartile (Q3) is 24

Explanation:

A: It represents among 100 cars the smallest speed is equal to 8 mph when passing through a busy intersection. < by knowing d.

B: It represent among 100 cars the biggest speed is equal to 44 mph when passing through a busy intersection. < process of solving d.

C: It represents among 100 cars half of them, their speed is equal to or less than 20 mph when passing through a busy intersection.

D: It represents among 100 cars 25% of them, their speed is equal to or less than 12 mph when passing through a busy intersection.

E: Because it is in between 20 and 24, just like how 12 is between 8 and 20