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The box plots show the average gas mileage of cars and minivans tested by a certain company
The box plots show the average gas mileage of cars and minivans tested by a certain company. 2 box plots. The number line goes from 14 to 34. For cars, the whiskers range from 21 to 33, and the box ranges from 22 to 29. A line divides the box at 24. For minivans, the whiskers range from 14 to 26, and the box ranges from 18 to 21. A line divides the box at 19. Josef says that the range for the car data is greater than the range for the minivan data because the box in the box plot for the car data is wider. Which explains Josef’s error? Josef confused the range and the interquartile range. Josef confused the range and the median. Josef should have compared the medians and minimum values. Josef should have compared the medians and maximum values.
Options:
a. Josef confused the range and the interquartile range.
b. Josef confused the range and the median.
c. Josef should have compared the medians and minimum values.
d. Josef should have compared the medians and maximum values.
Expert Solution
Answer:
The correct option is;
a. Josef confused the range and the interquartile range
Step-by-step explanation:
Here, we have
For cars
The range given as Minimum = 14 and Maximum = 34
The range of the whiskers is 21 to 33
The box range is 22 to 29
The dividing line of the box is at 24 is the median
For minivans
The range given as Minimum = 14 and Maximum = 26
The range of the whiskers is 14 to 26
The box range is 18 to 21
The dividing line of the box is at 19 is the median
Therefore, the range of the box plot for cars is the difference of the values at the ends of the whiskers, that is 33 - 21 = 8
The range for minivan = 26 - 12 = 14
Therefore, Josef's error is that, Josef confused the range and the interquartile range.
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