Understanding Box Plots

What is the role of the whiskers in a box plot?

• They connect the minimum and maximum to the quartiles.

• They represent the median of the data.

• They indicate the mode of the data.

• They show the mean of the data.

How can you tell if a box plot is symmetrical?

• By observing if both sides of the box and whiskers are approximately equal.

• By ensuring the whiskers are of different lengths.

• By confirming the box is skewed to the right.

• By checking if the median is at the extreme left.

Why can't the mean be calculated from a box plot?

• Because the box plot does not show the range.

• Because the box plot is only for categorical data.

• Because the exact data points are not visible.

• Because the box plot only shows the median.

What is the range of a data set in a box plot?

• The average of all data points.

• The difference between the first and third quartiles.

• The sum of the minimum and maximum values.

• The difference between the maximum and minimum values.

How is the interquartile range (IQR) calculated in a box plot?

• By subtracting the minimum from the maximum.

• By subtracting the first quartile from the third quartile.

• By adding the first and third quartiles.

• By dividing the range by two.

What does a larger interquartile range indicate about a data set?

• The data is more concentrated.

• The data has more variability.

• The data is symmetrical.

• The data has fewer outliers.

In comparing two box plots, what does a longer box indicate?

• A higher median.

• A smaller range.

• A greater number of data points.

• A larger variability in the data.

Which holiday had a greater spread in the example comparison?

• Both had the same spread

• Neither had any spread

• New Year's Eve

• Thanksgiving

What is the median number of guests for New Year's Eve in the example?

• 8

• 5

• 15

• 10

What is the interquartile range for Thanksgiving in the example?

• 15

• 12

• 8

• 10