Box-and-Whisker Plot Worksheet

What does the line inside the box of a box-and-whisker plot represent?

• A) The mean

• B) The median

• C) The mode

• D) The range

The interquartile range (IQR) represents:

• The middle 50% of data

• The total range of data

• The mean difference

• The lowest 25% of data

If the median line is closer to the lower quartile (Q1), the data are likely:

• A) Symmetrical

• B) Negatively skewed

• C) Positively skewed

• D) Uniformly distributed

What do the ends of the whiskers represent?

• The smallest and largest data points

• The quartiles

• The mode and median

• The mean ± standard deviation

If Q1 = 30 and Q3 = 70, what is the interquartile range (IQR)?

• 30

• 40

• 50

• 100

If the minimum value is 10 and the maximum is 70, what is the range?

• 60

• 80

• 50

• 40

Two box plots have overlapping boxes but different medians. What does this mean?

• They have similar spreads but different typical values

• They are identical

• There is no variation

• Their data sets don’t overlap

What does a box plot visually represent?

• The total number of data points

• The mean of the data

• The distribution of data

• The frequency of data points

Which of the following statements is true about outliers in a box plot?

• They are calculated as part of the IQR

• They are always included in the whiskers

• They are represented as individual points outside the whiskers

• They do not affect the median

In a box plot, what does a shorter box indicate?

• Higher median value

• Less variability in the data

• Data is positively skewed

• More outliers present