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Dotplots and Stem-and-Leaf Plots Practice Questions

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Updated on Oct 5, 2011

To review these concepts, go to Dotplots and Stem-and-Leaf Plots Study Guide.

Dotplots and Stem-and-Leaf Plots Practice Questions

Practice

  1. Twenty high school students were randomly selected from a very large high school. They were asked to keep a record for a week of the number of hours they slept each night. These seven values were averaged to obtain an average night of sleep for each. The results are as follows: 9, 8, 8, 7.5, 6, 6, 4, 5.5, 7, 8, 5, 7.5, 6.5, 10, 8.5, 6.5, 5, 5.5, 7, and 7.5 hours. Create a dotplot of these data and discuss what the display implies about the data.
  2. The ages of the Oscar winners for best actor and best actress (at the time they won the award) from 1996 to 2004 are as follows: 45, 39, 59, 33, 45, 25, 42, 24, 35, 32, 46, 32, 28, 34, 42, 27, 36, and 30. Create a doplot of these data and discuss what the display implies about the data.
  3. Is there a difference in the ages of the Oscar winners who are best actors and best actresses? From 1996 to 2004, the ages of the best actors at the time of winning the award were 45, 59, 45, 42, 35, 46, 28, 42, and 36. The ages of the best actresses at the time of winning the award for this same time period were 39, 33, 25, 24, 32, 32, 34, 27, and 30. Create parallel dotplots for the actors' and actresses' ages. Comment on the similarities and differences that can be observed in the dotplots.
  4. Draw a stem-and-leaf plot for the average number of hours slept for the students in practice problem 1 and comment.
  5. Draw a stem-and-leaf plot of the ages of the Oscar winners for best actor and best actress at the time they won, as given in practice problem 2, and comment.
  6. Draw a back-to-back stem-and-leaf plot comparing the ages of the best actors to the ages of the best actresses for Oscar winners, based on the data in practice problem 3 and comment.

Solutions

  1.  

    Dotplots and Stem-and-Leaf Plots

    The average hours of sleep ranged from four to ten hours. Most of the students averaged five to nine hours per night.

  2.  

    Dotplots and Stem-and-Leaf Plots

    The ages of the actors and actresses who won Oscars from 1996 to 2004 ranged from 24 to 54. The next oldest person to win was 46.

  3.  

    Dotplots and Stem-and-Leaf Plots

  4.  

     

    It appears that most students are getting between five and eight hours of sleep.

     

  5.  

    The most common ages at the time of receiving an Oscar award are from 25 to 40.

  6.  

    Female award winners tended to be younger than male award winners at the time they won their award. Both the male who was 28 and the one who was 59 seem to be unusual values.

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