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Stem and Leaf Plots Stem and Leaf Plots (tens) (ones) Stem and Leaf Plots emphasize place value. Stem – largest place value(s) of a number Leaf – smallest place value of a number Eg. below - the stems represent the tens digit and the leaves represent the ones 22, 24, 25, 28 30, 31, 33 46, 47 53, 55, 55 Data points are: If you count the leaves, you will know how many data points there are. There are 12 leaves, so you have 12 data points.

Stem and Leaf Plots (tens) (ones) Stem and Leaf Plots emphasize place value. Stem – largest place value(s) of a number Leaf – smallest place value

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Page 1: Stem and Leaf Plots (tens) (ones)  Stem and Leaf Plots emphasize place value.  Stem – largest place value(s) of a number  Leaf – smallest place value

Stem and Leaf PlotsStem and Leaf Plots

(tens) (ones)

Stem and Leaf Plots emphasize place value.

Stem – largest place value(s) of a number

Leaf – smallest place value of a number

Eg. below - the stems represent the tens digit and the leaves represent the ones

22, 24, 25, 28

30, 31, 33

46, 47

53, 55, 55

Data points are:

• If you count the leaves, you will know how many data points there are.

• There are 12 leaves, so you have 12 data points.

Page 2: Stem and Leaf Plots (tens) (ones)  Stem and Leaf Plots emphasize place value.  Stem – largest place value(s) of a number  Leaf – smallest place value

Stem and Leaf PlotsStem and Leaf Plots

(tens) (ones)

• Put the following values into a stem and leaf plot.

5, 8, 10, 15, 17, 31, 31, 32

5 8

0 5 7

0

1 1 2

1

2

3

Page 3: Stem and Leaf Plots (tens) (ones)  Stem and Leaf Plots emphasize place value.  Stem – largest place value(s) of a number  Leaf – smallest place value

Minimum, Maximum, RangeMinimum, Maximum, Range

Minimum = _______ Maximum = _______ Range = _______22 55 33

(tens) (ones)minimum point

maximum point

(55 – 22)

Combine the tens and ones 20 + 2 = 22

Combine the tens and ones 50 + 5 = 55

Page 4: Stem and Leaf Plots (tens) (ones)  Stem and Leaf Plots emphasize place value.  Stem – largest place value(s) of a number  Leaf – smallest place value

MedianMedian

Median = _______32

(tens) (ones)

• Cross out the smallest and highest leaves together until you find the middle value.

• If there are 2 middle values, take the average of the 2.

31 + 33 = 64

64 ÷ 2 = 32

Page 5: Stem and Leaf Plots (tens) (ones)  Stem and Leaf Plots emphasize place value.  Stem – largest place value(s) of a number  Leaf – smallest place value

MedianMedian

Median = _______32

(tens) (ones)

• If crossing out the leaves confuses you, list the data points out first and then cross them off

22, 24, 25, 28, 30, 31, 33, 46, 47, 53, 55, 55

31 + 33 = 64

64 ÷ 2 = 32

Page 6: Stem and Leaf Plots (tens) (ones)  Stem and Leaf Plots emphasize place value.  Stem – largest place value(s) of a number  Leaf – smallest place value

ModeMode

Mode = _______

(tens) (ones)

• The mode is the value(s) that occurs most often.

4

7Remember:

This represents 47

47• Don’t get confused. The mode is not 7 or 77!

Page 7: Stem and Leaf Plots (tens) (ones)  Stem and Leaf Plots emphasize place value.  Stem – largest place value(s) of a number  Leaf – smallest place value

Stem and Leaf PlotsStem and Leaf Plots

• Sometimes the stem is the ones place and the leaf is the tenths place

2.2, 2.4, 2.5, 2.83, 3.1, 3.3

4.6, 4.7

5.3, 5.5, 5.5

Data points are:

Page 8: Stem and Leaf Plots (tens) (ones)  Stem and Leaf Plots emphasize place value.  Stem – largest place value(s) of a number  Leaf – smallest place value

Construct a stem and leaf plot for the following data.

2 18 23 14 13 4 5 9 11 1321 3 19 8 16 9 10 3 3 1012 15 4 16 19