Exploring Box-and-Whisker Plots

This video tutorial covers section 10.5 on box and whisker plots, explaining how they represent data sets using the least value, greatest value, and quartiles. It demonstrates creating a box and whisker plot, analyzing data distribution, and interpreting the interquartile range. The tutorial also discusses different data distributions, such as symmetric and skewed, and compares data sets using box and whisker plots.

What does a box and whisker plot represent?

• The frequency of each data point in a set

• The correlation between two variables

• The mean and standard deviation of a data set

• The least, greatest values, and quartiles of a data set

What is the first step in creating a box and whisker plot?

• Drawing the whiskers

• Calculating the mean

• Determining the five number summary

• Plotting the data points

What does a longer whisker or box indicate in a box and whisker plot?

• Data are more spread out

• More data points

• Higher data values

• Lower data values

What fraction of the data is represented by one whisker in a box and whisker plot?

• One-half

• One-third

• One-quarter

• One-fifth

In the BMI example, what fraction of students have a BMI of at least 22?

• Three-quarters

• One-third

• One-quarter

• One-half

What does the interquartile range represent?

• The range of the entire data set

• The average value of the data set

• The difference between the median and the mode

• The range of the middle half of the data

What type of distribution is indicated by a longer left whisker?

• Symmetric

• Uniform

• Skewed left

• Skewed right

Which store's snowboard prices are more spread out?

• Both are equally spread

• Store B

• Cannot be determined

• Store A

Which store generally has higher snowboard prices?

• Store A

• Store B

• Both have similar prices

• Cannot be determined

What does a symmetric distribution in a box and whisker plot indicate?

• All data points are the same

• Data is skewed to the right

• Data is evenly distributed around the median

• Data is skewed to the left