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Lesson Menu Main Idea and New Vocabulary Example 1:Display Data in a Stem-and-Leaf Plot Example 2:Analyze Stem-and-Leaf Plots Example 3:Effect of Outliers.

Jan 03, 2016

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Page 1: Lesson Menu Main Idea and New Vocabulary Example 1:Display Data in a Stem-and-Leaf Plot Example 2:Analyze Stem-and-Leaf Plots Example 3:Effect of Outliers.
Page 2: Lesson Menu Main Idea and New Vocabulary Example 1:Display Data in a Stem-and-Leaf Plot Example 2:Analyze Stem-and-Leaf Plots Example 3:Effect of Outliers.

Main Idea and New Vocabulary

Example 1: Display Data in a Stem-and-Leaf Plot

Example 2: Analyze Stem-and-Leaf Plots

Example 3: Effect of Outliers

Page 3: Lesson Menu Main Idea and New Vocabulary Example 1:Display Data in a Stem-and-Leaf Plot Example 2:Analyze Stem-and-Leaf Plots Example 3:Effect of Outliers.

• Display and analyze data in a stem-and-leaf plot.

• stem-and-leaf plot

• leaf

• stem

• outlier

Page 4: Lesson Menu Main Idea and New Vocabulary Example 1:Display Data in a Stem-and-Leaf Plot Example 2:Analyze Stem-and-Leaf Plots Example 3:Effect of Outliers.

Display Data in a Stem-and-Leaf Plot

SPORTS The table shows the number of home runs Cliff Floyd hit in the seasons from 1993 to 2008. Display the data in the table in a stem-and-leaf plot.

Page 5: Lesson Menu Main Idea and New Vocabulary Example 1:Display Data in a Stem-and-Leaf Plot Example 2:Analyze Stem-and-Leaf Plots Example 3:Effect of Outliers.

Step 1 Choose the stems using digits in the tens place, 0, 1, and 2. The least value, 1, has 0 in the tens place. The greatest value, 34, has 3 in the tens place.

Display Data in a Stem-and-Leaf Plot

Page 6: Lesson Menu Main Idea and New Vocabulary Example 1:Display Data in a Stem-and-Leaf Plot Example 2:Analyze Stem-and-Leaf Plots Example 3:Effect of Outliers.

Step 2 List the stems from least to greatest in the Stem column. Write the leaves, the ones digits, to the right of the corresponding stems.

Display Data in a Stem-and-Leaf Plot

Page 7: Lesson Menu Main Idea and New Vocabulary Example 1:Display Data in a Stem-and-Leaf Plot Example 2:Analyze Stem-and-Leaf Plots Example 3:Effect of Outliers.

Step 3 Order the leaves and write a key that explains how to read the stems and leaves.Include a title.

Display Data in a Stem-and-Leaf Plot

Page 8: Lesson Menu Main Idea and New Vocabulary Example 1:Display Data in a Stem-and-Leaf Plot Example 2:Analyze Stem-and-Leaf Plots Example 3:Effect of Outliers.

Display Data in a Stem-and-Leaf Plot

The ten digits of the data form the stem.

The ones digits of the data form the leaves.

Always write each leaf, even if it repeats.

Include a key.

Page 9: Lesson Menu Main Idea and New Vocabulary Example 1:Display Data in a Stem-and-Leaf Plot Example 2:Analyze Stem-and-Leaf Plots Example 3:Effect of Outliers.

Display Data in a Stem-and-Leaf Plot

Answer:

Page 10: Lesson Menu Main Idea and New Vocabulary Example 1:Display Data in a Stem-and-Leaf Plot Example 2:Analyze Stem-and-Leaf Plots Example 3:Effect of Outliers.

TENNIS The table shows the number of service aces Joe hit in tennis matches each week of the tennis season. Display the data in the table in a stem-and-leaf plot.

A.

B.

C.

D.

Page 11: Lesson Menu Main Idea and New Vocabulary Example 1:Display Data in a Stem-and-Leaf Plot Example 2:Analyze Stem-and-Leaf Plots Example 3:Effect of Outliers.

FOOTBALL The stem-and-leaf plot shows the number of points scored by the University of Florida football team in the 2007 season. Find the range, median, and mode of the data.

Analyze Stem-and-Leaf Plots

range: most points – least points= 59 – 17 or 42

median: middle value, 45

mode: most frequent value, 59

Page 12: Lesson Menu Main Idea and New Vocabulary Example 1:Display Data in a Stem-and-Leaf Plot Example 2:Analyze Stem-and-Leaf Plots Example 3:Effect of Outliers.

Analyze Stem-and-Leaf Plots

Answer: The range is 42, the median is 45, and themode is 59.

Page 13: Lesson Menu Main Idea and New Vocabulary Example 1:Display Data in a Stem-and-Leaf Plot Example 2:Analyze Stem-and-Leaf Plots Example 3:Effect of Outliers.

A. range: 17; median: 15; mode: 21

B. range: 8; median: 15; mode: 21

C. range: 17; median: 5; mode: 1

D. range: 8; median: 5; mode: 1

VOLLEYBALL The stem-and-leaf plot shows the number of matches won over the last 10 seasons by a high school volleyball team. Find the range, median, and mode of the data.

Page 14: Lesson Menu Main Idea and New Vocabulary Example 1:Display Data in a Stem-and-Leaf Plot Example 2:Analyze Stem-and-Leaf Plots Example 3:Effect of Outliers.

Effect of Outliers

BASKETBALL The stem-and-leaf plot shows the number of points scored by a high school basketball player. Which measure of central tendency is most affected by the outlier?

Page 15: Lesson Menu Main Idea and New Vocabulary Example 1:Display Data in a Stem-and-Leaf Plot Example 2:Analyze Stem-and-Leaf Plots Example 3:Effect of Outliers.

The modes, 15 and 31, are not affected by the inclusion of the outlier, 49.

Calculate the mean and median, each without the outlier, 49. Then calculate them including the outlier and compare.

Effect of Outliers

Page 16: Lesson Menu Main Idea and New Vocabulary Example 1:Display Data in a Stem-and-Leaf Plot Example 2:Analyze Stem-and-Leaf Plots Example 3:Effect of Outliers.

20

without the outlier

Effect of Outliers

Answer: The mean increased by 21.9 – 19.7, or 2.2, while the median increased by 20 – 19 or 1. Since 2.2 > 1, the mean score is most affected.

with the outlier

Page 17: Lesson Menu Main Idea and New Vocabulary Example 1:Display Data in a Stem-and-Leaf Plot Example 2:Analyze Stem-and-Leaf Plots Example 3:Effect of Outliers.

A. median

B. mode

C. mean

D. The outlier does not affect any of the measures.

BIRD-WATCHING The stem-and-leaf plot shows the number of birds in Lucy’s backyard over 8 days. Which measure of central tendency is most affected by the outlier?

Page 18: Lesson Menu Main Idea and New Vocabulary Example 1:Display Data in a Stem-and-Leaf Plot Example 2:Analyze Stem-and-Leaf Plots Example 3:Effect of Outliers.