A highway patrol officer measures the speed of cars on the freeway. The speeds of the first 20 cars are shown on the line plot below.

The next car that drives past is going 69 miles per hour. How does this car change the statistics that summarize the data?

A.
The mean increases.

B.
The range increases.

C.
The median increases.

D.
The interquartile range increases.

1 answer

A. The mean increases.

Adding a car that is going 69 miles per hour will increase the total sum of the speeds, which will in turn increase the mean speed of all the cars. The median, range, and interquartile range may or may not be affected by the addition of this new data point.