Question

Two box plots have the same median and equally long whiskers.If one box plot has a longer box than the other box plot, what does this tell you about the difference between the data sets?

Answer 1

A hope this helps!

Explanation:

• 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.

Answer 2

The first line as you know is the lowest value
The second line (start of box) is the lower quartile
The Middle line is the median
The fourth line (End of box) is the upper quartile
The last line is the highest value
A box plot with a longer box shows that interquartile range is likely to be larger suggesting more of a spread in data.