Question

the box plots show the average speeds, in miles per hour, for the race cars in two different races.
average speeds of cars in race a
average speeds of cars in race b
which correctly describes the consistency of the speeds of the cars in the two races?
the speeds in race a are likely to be near 170 mph and the speeds in race b are likely to be near to 165 mph.
the speeds in race a are likely to be near 153 mph and the speeds in race b are likely to be near to 145 mph.
the speeds in race a are likely to be near 120 mph and the speeds in race b are likely to be near to 125 mph.
the speeds in race a are likely to be near 145 mph and the speeds in race b are likely to be near to 153 mph.

Explanation:

Step1: Recall the property of box - plot

The median of a box - plot represents the central tendency of the data. The line inside the box of a box - plot is the median.

Step2: Find the median for Race A and Race B

For the box - plot of Race A, the median (the line inside the box) is at \(153\) mph. For the box - plot of Race B, the median (the line inside the box) is at \(145\) mph.

Answer:

The speeds in race A are likely to be near 153 mph and the speeds in race B are likely to be near to 145 mph.