Analyze and Compare Data Sets

Which of the following is the best reason for choosing a stem plot rather than a histogram to display the distribution of a quantitative variable?

• Stem plots allow you to split stems; histograms don’t.

• Stem plots allow you to see the values of individual observations.

• Stem plots are better for displaying very large sets of data.

• Stem plots make it easier to determine the shape of a distribution.

Which of the following are accurate descriptions of the distribution below?

• The distribution has a peak from 10 to 15km.

• The distribution has a gap from 25 to 30km.

• None of the above

Sal counted the number of songs on each album in his collection. He then created both a dot plot and a box plot to display the same data (both diagrams are shown below).

Which display makes it clear that none of the albums had 15 songs?

• The dot plot

• The box plot

Sal counted the number of songs on each album in his collection. He then created both a dot plot and a box plot to display the same data (both diagrams are shown below).

Which display makes it easier to find that the interquartile range is 4 songs?

• The dot plot

• The box plot

Nam owns a used car lot. He checked the odometers of the cars and recorded how far they had driven. He then created both a histogram and a box plot to display this same data (both diagrams are shown below). Which display can be used to find how many vehicles had driven more than 200,000km (kilometers)?

• The histogram

• The box plot

Nam owns a used car lot. He checked the odometers of the cars and recorded how far they had driven. He then created both a histogram and a box plot to display this same data (both diagrams are shown below). Which display can be used to find that the median distance was approximately 140,000km?

• The histogram

• The box plot

Box and Whisker Plots show

• variability or how great a range is of the information.

• all of the measures of center (mean, median, and mode)

• 150% of all of the information

• is about how long the whiskers are on faces of cats on boxes.

Which of the following are accurate descriptions of the distribution below?

• The distribution has an outlier.

• The distribution has a peak at 22°C.

• None of the above

The dot plots below show the number of customers at Mr. Burger and Mr. Chicken during rush hour over the course of 10 days. Which statement correctly compares the distribution of the number of customers at each restaurant during rush hour?

• Mr. Burger's number of customers during rush hour, is greater than Mr. Chicken's number of customers during rush hour.

• Mr. Burger's median number of customers during rush hour, is greater than Mr. Chicken's median number of customers during rush hour.

• There is more variability in Mr. Chicken's number of customers during rush hour, than Mr. Burger's number of customers during rush hour.

• There is less variability in Mr. Chicken's number of customers during rush hour, than Mr. Burger's number of customers during rush hour.

What is the purpose of comparing distributions?

• To identify outliers in the data.

• To understand similarities and differences between sets of data.

• To determine the mean and median of the data.

• To calculate the standard deviation of the data.