Family shows less variability in the mpg compared to sports cars and small cars (Option D).
How do you determine the variability in a data distribution displayed on a box plot?
In a box plot, the Interquartile Range (IQR) is a measure of statistical dispersion and is often used to determine the variability in a data distribution. The IQR is the range between the first quartile (Q1) and the third quartile (Q3) of the data set.
A larger IQR indicates greater variability in the middle 50% of the data and if the whiskers are long, the data is more spread out and has higher variability.
In the box plots shown above, the whiskers for sports is the longest and also, the rectangular box is the widest which suggest a greater variability compared to small and family. Family has the lowest variability.
Therefore, the correct option is: Option D.