Understanding Box Plots

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

• They show the mode of the data.

• They connect the minimum and maximum to the quartiles.

• They represent the mean of the data.

• They indicate the outliers in the data.

How can you determine if a box plot is symmetrical?

• By ensuring the whiskers are of different lengths.

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

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

• By checking if the maximum value is an outlier.

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

• Because the box plot is used for categorical data.

• Because the box plot does not display individual data points.

• Because the box plot only shows the median.

• Because the box plot only shows the mode.

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

• The difference between the first and third quartiles.

• The sum of the minimum and maximum values.

• The average of all data points.

• 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 dividing the range by two.

• By adding the first and third quartiles.

• By subtracting the first quartile from the third quartile.

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

• The data is more concentrated around the median.

• The data has more variability.

• The data is symmetrical.

• The data has more outliers.

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

• A higher median value.

• Greater variability in the data.

• More outliers present.

• A symmetrical distribution.

Which holiday had a greater interquartile range in the example?

• Thanksgiving

• New Year's Eve

• Both had the same IQR

• Neither had an IQR

What does a greater range in a box plot suggest about the data?

• The data is more spread out.

• The data has less variability.

• The data is closer to the median.

• The data is more consistent.

Which holiday showed more variability in the data?

• Both had the same variability

• New Year's Eve

• Thanksgiving

• Neither showed variability