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.

Question:

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.

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.

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.