Exploring Box and Whisker Plots

What is the primary purpose of a boxplot?

• To calculate the mean of a dataset

• To show the mode of a dataset

• To summarize large amounts of data visually

• To display the highest and lowest values in a dataset

What is the first step in creating a boxplot?

• Identifying the quartiles

• Drawing the box

• Ordering the data from least to greatest

• Finding the median of the dataset

How is the median of a dataset identified in a boxplot?

• It's the average of all values

• It's the middle value after ordering the data

• It's the difference between the highest and lowest values

• It's the value that appears most frequently

What does the median represent in a boxplot?

• The middle value of the dataset

• The lowest value in the dataset

• The average value of the dataset

• The highest value in the dataset

What does a shorter distance between points in a quartile indicate?

• The median is very high

• There is a large variance in the data

• The data is spread out

• The data is closely bunched together

How are the lower and upper extremes determined in a boxplot?

• They are the most frequently occurring values

• They are the first and last items in an ordered set of data

• They are the average values of the dataset

• They are the median values of the dataset

Which ski resort shows a higher median annual snowfall according to the boxplot?

• The data is inconclusive

• Both have the same median

• Mad Mountain

• Powder Valley

What can be inferred if a boxplot's whiskers are long?

• The dataset is uniform

• The median is skewed

• There is little variation in the data

• The data is highly varied

Which resort appears to have less variation in annual snowfall?

• The data does not provide this information

• Mad Mountain

• Powder Valley

• Both have the same variation

Which resort has a greater chance of receiving more than 300 inches of snow?

• It cannot be determined from the data

• Mad Mountain

• Powder Valley

• Both have equal chances