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Stem and Leaf Plots

This presentation will probably involve audience discussion, which will create action items.Ý Use PowerPoint to keep track of these action items during your presentation In Slide Show, click on the right mouse button Select ìMeeting Minderî Select the ìAction Itemsî tab

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Stem and Leaf Plots

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  1. This presentation will probably involve audience discussion, which will create action items.Ý Use PowerPoint to keep track of these action items during your presentation • In Slide Show, click on the right mouse button • Select ìMeeting Minderî • Select the ìAction Itemsî tab • Type in action items as they come up • Click OK to dismiss this box • This will automatically create an Action Item slide at the end of your presentation with your points entered. Stem and Leaf Plots AP Statistics Summer Assignment

  2. Stem and Leaf Plots The following is a stem and leaf plot. 4: 5 5 6 5: 2 3 4 5 6: 0 1 2 6 7 7: 1 2 4 3

  3. How to Make a Stem and Leaf Plot A stem and leaf plot displays data like a bar graph, but we break the data apart into a stem and a leaf part. The data point 30 is broken up into 3 0 Stem Leaf

  4. The data point 430 would be broken up into 43 0 Stem Leaf The data point 14.6 would be broken up into 14 6 Stem Leaf

  5. Example 1 The data set given by {30, 27, 34, 28, 45, 31, 34, 40, 29} is represented by: 2: 7 8 9 3: 0 1 4 4 4: 0 5 The 9 represents the data point 29. The stems are the tens place and the Leaves are the ones digits.

  6. Finding the Range {18.4, 18.8, 15.9, 17.4, 17.8, 15.7, 18.1} is given by. 15: 7 9 16: 17: 4 8 18: 1 4 8 The range is 18.8ñ15.7 = 3.1. When you are given just a stem and leaf plot, you subtract the first and last leaves.

  7. Finding the Median 4: 9 9 9 5: 0 3 3 5 6 7 8 6: 0 1 The median is 54 since you must average the two middle values. You will have to count towards the middle values from the minimum and maximum.

  8. Finding the Mode 40. : 3 3 4 5 6 41. : 4 4 4 4 5 5 6 9 42. : 2 4 5 5 5 5 7 8 The distribution of the data is bimodal with modes 41.4 and 42.5. The mode is the data point(s) with the most frequency.

  9. The Shape of the Data 3 : 1 1 2 3 4 8 4 : 4 7 8 9 9 3 5:Ý 6 7 9 9 9 9 The data appears to be symmetrical. What does a change in scale suggest?

  10. The Shape of the Data - 2 3 : 1 1 2 3 3 : 8 4 : 4 4 : 7 8 8 9 9 5 : 5 : 6 7 9 9 9 9 Using a scale of 30-34, 35-39 etc. reveals the data is not symmetrical.

  11. Shape of the Data- 3 Our interpretation of the data depends on our plot. Usually, several different plots should be made to get a clear picture of the data. The disadvantage of the stem and leaf plot is that the data needs to be ordered. For large data sets this can be time consuming.

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