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Stem and Leaf Plots OBJ: To display a set of data using a stem-and-leaf plot and to find the mean, median, and mode.

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Presentation on theme: "Stem and Leaf Plots OBJ: To display a set of data using a stem-and-leaf plot and to find the mean, median, and mode."— Presentation transcript:

1 Stem and Leaf Plots OBJ: To display a set of data using a stem-and-leaf plot and to find the mean, median, and mode

2 Shown below are the mathematics scores for the 50 seniors in a Midwestern high school who took a standardized achievement test. 480520670580500570700540690500 520450570540620450460790580610 550630460470510630510720490540 690510500710520480750450670610 320680530510350400 640430480

3 In a stem-and-leaf plot the first digit of each score is called the stem and the second digit is called the leaf. All the leaves for a given stem are written one after the other. Make a stem-and-leaf plot to the right with the scores recorded by column.

4 4848 5252 6767 5858 5050 5757 7070 5454 6969 5050 5252 4545 5757 5454 6262 4545 4646 7979 5858 6161 5 6363 4646 4747 5151 6363 5151 7272 4949 5454 6969 5151 5050 7171 5252 4848 7575 4545 6767 6161 3232 6868 5353 5151 3535 4040 4040 6464 4343 4848 Unorganized Stem and Leaf 3 4 5 6 7

5 Stem Leaf 325 48556679850038 52807402748511410231 679213397184 709215

6 Make a second stem-and-leaf plot to the right with the scores rearranged in increasing order.

7 Stem Leaves 3|2 represents a score of 320 325 40035556678889 50001111222344457788 611233477899 701259

8 DEF: mean The sum of the data divided by the total number of data items (average) 27,480 50 550

9 DEF: median The middle number of the data when it is arranged in numerical order, or the average of the two middle numbers if there is an even number of data items 520 + 530 2 525

10 DEF: mode Data item that occurs the most 510

11 The 12 National League baseball teams had shutouts for one season as shown below: TeamShutouts Atlanta4 Chicago10 Cincinnati13 Houston15 Los Angeles24 Montreal12 New York22 Philadelphia6 Pittsburgh11 St. Louis14 San Diego9 San Francisco 13 a. Sum– marize thedatainastem leaf and plot StemLeaf 0 1 2

12 The 12 National League baseball teams had shutouts for one season as shown below: TeamShutouts Atlanta4 Chicago10 Cincinnati13 Houston15 Los Angeles24 Montreal12 New York22 Philadelphia6 Pittsburgh11 St. Louis14 San Diego9 San Francisco 13 a. Sum– marize thedatainastem leaf and plot StemLeaf

13 The 12 National League baseball teams had shutouts for one season as shown below: TeamShutouts Atlanta4 Chicago10 Cincinnati13 Houston15 Los Angeles24 Montreal12 New York22 Philadelphia6 Pittsburgh11 St. Louis14 San Diego9 San Francisco 13 a. Sum– marize thedatainastem leaf and plot StemLeaf 0469 10123345 224

14 b. Find the mean, median, and mode. 4 + 6 + 9 + 10 + 11 + 12 + 13 + 13 + 14 + 15 + 22 + 24 = 153 Mean = 153 12 = 12.75 Median = 12 + 13 2 = 12.5 Mode = 13 All homework in Advanced Math Book HW 1 P 643-644 (1-8)


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