Question

lesson 3 practice problems
1 the box plot represents the distribution of speeds, in miles per hour, of 100 cars passed through a busy intersection.

speed of cars (miles per hour)
4 8 12 16 20 24 28 32 36 40 44 48

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.

Explanation:

Part (a)

Step1: Identify smallest value from box plot

In a box plot, the leftmost whisker's end represents the minimum (smallest) value. From the plot, the smallest speed is 8 miles per hour.

Step2: Interpret the value

This means that among the 100 cars, the slowest speed at which a car passed through the intersection is 8 miles per hour.

Step1: Identify largest value from box plot

In a box plot, the rightmost whisker's end represents the maximum (largest) value. From the plot, the largest speed is 48 miles per hour.

Step2: Interpret the value

This means that among the 100 cars, the fastest speed at which a car passed through the intersection is 48 miles per hour.

Answer:

The smallest value is 8 miles per hour. It represents the minimum speed of the 100 cars passing through the intersection, i.e., the slowest car was moving at 8 miles per hour.

Part (b)