Question

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.

Answer 1

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Complete 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

120.

125

130

135

140

145

150

155

160

165

170

Find attached to this question, the picture of the box plots.

Which correctly describes the consistency of the speeds of the cars in the two races?

a. 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.

b. 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.

c. 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.

d. 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.

Answer:

d. 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.

Step-by-step explanation:

For the boxplot for Race A, the following is obtained from the attached diagram

The range of speed of the race is= Highest - Lowest

170 - 120= 50

The 1st Quartile is = 142

The 2nd Quartile is = 153

The 3rd Quartile is = 165

The Inter quartile range = 3rd quartile - 1st quartile = 165-142= 23

For the boxplot for Race B

The following values is obtained from the attached image.

The range of speed of the race is

Highest speed - Lowest speed

165 - 125= 40

The 1st Quartile is = 139

The 2nd Quartile is = 145

The 3rd Quartile is 150

The Inter quartile range = 3rd quartile- 1st quartile = 150 - 139 = 11

From the values above, we can see that ,

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.