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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.
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.