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.
Answers
Josef confused the range and the interquartile range.
Step-by-step explanation:
Car
The number line goes from 14 to 34 => range = 34 - 14 = 20
the whiskers range from 21 to 33 => whisker range = 12
e box ranges from 22 to 29. . A line divides the box at 24
=> Q1 = 22
Q2 (Median) = 24
Q3 = 29
InterQuartile range = 29 - 22 = 7
Range of MiniVan is not given
minivans, the whiskers range from 14 to 26, = 12
the box ranges from 18 to 21. A line divides the box at 19.
=> Q1 = 18
Q2 (Median) = 19
Q3 = 21
InterQuartile range = 21 - 18 = 3
InterQuartile range of Car 7 > InterQuartile range of MiniVan 3
Josef says that the range for the car data is greater than the range for the minivan data because
box in the box plot for the car data is wider.
While box in the box plot gives interQuartile Range not data Range
Hence Josef confused the range and the interquartile range.
Learn more:
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Answer:
c
Step-by-step explanation: