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Chapter 13
Statistics
Copyright © 2009 Pearson Education, Inc.
Slide 13 - 1
For the set of data 12, 13, 15, 15, 16, 19
determine the mean.
a.
13
b.
14
c.
15
d.
16
Copyright © 2009 Pearson Education, Inc.
Slide 13 - 2
For the set of data 12, 13, 15, 15, 16, 19
determine the mean.
a.
13
b.
14
c.
15
d.
16
Copyright © 2009 Pearson Education, Inc.
Slide 13 - 3
For the set of data 12, 13, 15, 15, 16, 19
determine the mode.
a.
13
b.
14
c.
15
d.
16
Copyright © 2009 Pearson Education, Inc.
Slide 13 - 4
For the set of data 12, 13, 15, 15, 16, 19
determine the mode.
a.
13
b.
14
c.
15
d.
16
Copyright © 2009 Pearson Education, Inc.
Slide 13 - 5
For the set of data 12, 13, 15, 15, 16, 19
determine the median.
a.
13
b.
14
c.
15
d.
16
Copyright © 2009 Pearson Education, Inc.
Slide 13 - 6
For the set of data 12, 13, 15, 15, 16, 19
determine the median.
a.
13
b.
14
c.
15
d.
16
Copyright © 2009 Pearson Education, Inc.
Slide 13 - 7
For the set of data 12, 13, 15, 15, 16, 19
determine the range.
a.
31
b.
15.5
c.
10
d.
7
Copyright © 2009 Pearson Education, Inc.
Slide 13 - 8
For the set of data 12, 13, 15, 15, 16, 19
determine the range.
a.
31
b.
15.5
c.
10
d.
7
Copyright © 2009 Pearson Education, Inc.
Slide 13 - 9
For the set of data 12, 13, 15, 15, 16, 19
determine the midrange.
a.
31
b.
15.5
c.
10
d.
7
Copyright © 2009 Pearson Education, Inc.
Slide 13 - 10
For the set of data 12, 13, 15, 15, 16, 19
determine the midrange.
a.
31
b.
15.5
c.
10
d.
7
Copyright © 2009 Pearson Education, Inc.
Slide 13 - 11
For the set of data 12, 13, 15, 15, 16, 19
determine the midrange.
a.
6  2.45
b.
5  2.24
c.
2  1.414
d.
1.67  1.29
Copyright © 2009 Pearson Education, Inc.
Slide 13 - 12
For the set of data 12, 13, 15, 15, 16, 19
determine the midrange.
a.
6  2.45
b.
5  2.24
c.
2  1.414
d.
1.67  1.29
Copyright © 2009 Pearson Education, Inc.
Slide 13 - 13
Construct a frequency of
distribution; let the first
class be 10 - 19.
a. Class
Freq
b. Class
Freq
c. Class
Freq
d. Class
Freq
10-19
20-29
30-39
40-49
50-59
60-69
4
5
4
5
6
6
10-19
5
20-29
4
30-39
5
40-49
4
50-59
6
60-69
6
10-19
3
20-29
6
30-39
6
40-49
6
50-59
5
60-69
4
10-19
20-29
30-39
40-49
50-59
60-69
6
5
4
5
6
4
Copyright © 2009 Pearson Education, Inc.
Slide 13 - 14
Construct a frequency of
distribution; let the first
class be 10 - 19.
a. Class
Freq
b. Class
Freq
c. Class
Freq
d. Class
Freq
10-19
20-29
30-39
40-49
50-59
60-69
4
5
4
5
6
6
10-19
5
20-29
4
30-39
5
40-49
4
50-59
6
60-69
6
10-19
3
20-29
6
30-39
6
40-49
6
50-59
5
60-69
4
10-19
20-29
30-39
40-49
50-59
60-69
6
5
4
5
6
4
Copyright © 2009 Pearson Education, Inc.
Slide 13 - 15
Construct a histogram of the frequency distribution.
20-29
30-39
40-49
50-59
60-69
Freq
4
5
4
5
6
6
b.
Frequency
10-19
Frequency
a.
Class
d.
Frequency
c.
Class
Class
Copyright © 2009 Pearson Education, Inc.
Frequency
Class
Class
Slide 13 - 16
Construct a histogram of the frequency distribution.
20-29
30-39
40-49
50-59
60-69
Freq
4
5
4
5
6
6
b.
Frequency
10-19
Frequency
a.
Class
d.
Frequency
c.
Class
Class
Copyright © 2009 Pearson Education, Inc.
Frequency
Class
Class
Slide 13 - 17
Construct a frequency polygon of the distribution.
20-29
30-39
40-49
50-59
60-69
Freq
4
5
4
5
6
6
b.
Frequency
10-19
Frequency
a.
Class
d.
Frequency
c.
Class
Class
Copyright © 2009 Pearson Education, Inc.
Frequency
Class
Class
Slide 13 - 18
Construct a frequency polygon of the distribution.
20-29
30-39
40-49
50-59
60-69
Freq
4
5
4
5
6
6
b.
Frequency
10-19
Frequency
a.
Class
d.
Frequency
c.
Class
Class
Copyright © 2009 Pearson Education, Inc.
Frequency
Class
Class
Slide 13 - 19
Use the following data on the number of points
scored in the Bay High School basketball games.
What is the most common score?
Mean
72
First quartile
50
Median
68
Third quartile
75
Mode
70
92nd percentile 88
Standard Deviation 11
a. 68
b. 70
Copyright © 2009 Pearson Education, Inc.
c. 72
d. 75
Slide 13 - 20
Use the following data on the number of points
scored in the Bay High School basketball games.
What is the most common score?
Mean
72
First quartile
50
Median
68
Third quartile
75
Mode
70
92nd percentile 88
Standard Deviation 11
a. 68
b. 70
Copyright © 2009 Pearson Education, Inc.
c. 72
d. 75
Slide 13 - 21
Use the following data on the number of points
scored in the Bay High School basketball games.
What score do half of the games exceed?
Mean
72
First quartile
50
Median
68
Third quartile
75
Mode
70
92nd percentile 88
Standard Deviation 11
a. 68
b. 70
Copyright © 2009 Pearson Education, Inc.
c. 72
d. 75
Slide 13 - 22
Use the following data on the number of points
scored in the Bay High School basketball games.
What score do half of the games exceed?
Mean
72
First quartile
50
Median
68
Third quartile
75
Mode
70
92nd percentile 88
Standard Deviation 11
a. 68
b. 70
Copyright © 2009 Pearson Education, Inc.
c. 72
d. 75
Slide 13 - 23
Use the following data on the number of points
scored in the Bay High School basketball games.
About what percent of games have less than 75
points scored?
Mean
72
First quartile
50
Median
68
Third quartile
75
Mode
70
92nd percentile 88
Standard Deviation 11
a. 25%
b. 50%
Copyright © 2009 Pearson Education, Inc.
c. 75%
d. 92%
Slide 13 - 24
Use the following data on the number of points
scored in the Bay High School basketball games.
About what percent of games have less than 75
points scored?
Mean
72
First quartile
50
Median
68
Third quartile
75
Mode
70
92nd percentile 88
Standard Deviation 11
a. 25%
b. 50%
Copyright © 2009 Pearson Education, Inc.
c. 75%
d. 92%
Slide 13 - 25
Use the following data on the number of points
scored in the Bay High School basketball games.
About what percent of games have more than 88
points scored?
Mean
72
First quartile
50
Median
68
Third quartile
75
Mode
70
92nd percentile 88
Standard Deviation 11
a. 92%
b. 75%
Copyright © 2009 Pearson Education, Inc.
c. 50%
d. 8%
Slide 13 - 26
Use the following data on the number of points
scored in the Bay High School basketball games.
About what percent of games have more than 88
points scored?
Mean
72
First quartile
50
Median
68
Third quartile
75
Mode
70
92nd percentile 88
Standard Deviation 11
a. 92%
b. 75%
Copyright © 2009 Pearson Education, Inc.
c. 50%
d. 8%
Slide 13 - 27
Use the following data on the number of points
scored in the Bay High School basketball games. If
there are 20 games played throughout the season,
what would be the total of all the points scored?
Mean
72
First quartile
50
Median
68
Third quartile
75
Mode
70
92nd percentile 88
Standard Deviation 11
a. 1360
b. 1400
Copyright © 2009 Pearson Education, Inc.
c. 1440
d. 1500
Slide 13 - 28
Use the following data on the number of points
scored in the Bay High School basketball games. If
there are 20 games played throughout the season,
what would be the total of all the points scored?
Mean
72
First quartile
50
Median
68
Third quartile
75
Mode
70
92nd percentile 88
Standard Deviation 11
a. 1360
b. 1400
Copyright © 2009 Pearson Education, Inc.
c. 1440
d. 1500
Slide 13 - 29
Use the following data on the number of points
scored in the Bay High School basketball games.
What score represents 1.5 standard deviations
above the mean?
Mean
72
First quartile
50
Median
68
Third quartile
75
Mode
70
92nd percentile 88
Standard Deviation 11
a. 83
b. 84.5
Copyright © 2009 Pearson Education, Inc.
c. 86.5
d. 88.5
Slide 13 - 30
Use the following data on the number of points
scored in the Bay High School basketball games.
What score represents 1.5 standard deviations
above the mean?
Mean
72
First quartile
50
Median
68
Third quartile
75
Mode
70
92nd percentile 88
Standard Deviation 11
a. 83
b. 84.5
Copyright © 2009 Pearson Education, Inc.
c. 86.5
d. 88.5
Slide 13 - 31
Use the following data on the number of points
scored in the Bay High School basketball games.
What score represents 1 standard deviation below
the mean?
Mean
72
First quartile
50
Median
68
Third quartile
75
Mode
70
92nd percentile 88
Standard Deviation 11
a. 61
b. 59
Copyright © 2009 Pearson Education, Inc.
c. 57
d. 50
Slide 13 - 32
Use the following data on the number of points
scored in the Bay High School basketball games.
What score represents 1 standard deviation below
the mean?
Mean
72
First quartile
50
Median
68
Third quartile
75
Mode
70
92nd percentile 88
Standard Deviation 11
a. 61
b. 59
Copyright © 2009 Pearson Education, Inc.
c. 57
d. 50
Slide 13 - 33
The average age of students at Tri-County
Community College is normally distributed with a
mean of 22.1 and a standard deviation of 2.3.
What percent of students are between 20 and 24?
a.
79.7%
b.
61.6%
c.
29.7%%
d.
18.1%
Copyright © 2009 Pearson Education, Inc.
Slide 13 - 34
The average age of students at Tri-County
Community College is normally distributed with a
mean of 22.1 and a standard deviation of 2.3.
What percent of students are between 20 and 24?
a.
79.7%
b.
61.6%
c.
29.7%%
d.
18.1%
Copyright © 2009 Pearson Education, Inc.
Slide 13 - 35
The average age of students at Tri-County
Community College is normally distributed with a
mean of 22.1 and a standard deviation of 2.3.
What percent of students are older than 23?
a.
34.8%
b.
39.1%
c.
60.9%
d.
65.2%
Copyright © 2009 Pearson Education, Inc.
Slide 13 - 36
The average age of students at Tri-County
Community College is normally distributed with a
mean of 22.1 and a standard deviation of 2.3.
What percent of students are older than 23?
a.
34.8%
b.
39.1%
c.
60.9%
d.
65.2%
Copyright © 2009 Pearson Education, Inc.
Slide 13 - 37
The average age of students at Tri-County
Community College is normally distributed with a
mean of 22.1 and a standard deviation of 2.3.
What percent of students are older than 20.5?
a.
24.2%
b.
69.6%
c.
75.8%
d.
30.4%
Copyright © 2009 Pearson Education, Inc.
Slide 13 - 38
The average age of students at Tri-County
Community College is normally distributed with a
mean of 22.1 and a standard deviation of 2.3.
What percent of students are older than 20.5?
a.
24.2%
b.
69.6%
c.
75.8%
d.
30.4%
Copyright © 2009 Pearson Education, Inc.
Slide 13 - 39
The average age of students at Tri-County
Community College is normally distributed with a
mean of 22.1 and a standard deviation of 2.3.
What percent of students are younger than 25.5?
a.
6.9%
b.
43.1%
c.
75.8%
d.
93.1%
Copyright © 2009 Pearson Education, Inc.
Slide 13 - 40
The average age of students at Tri-County
Community College is normally distributed with a
mean of 22.1 and a standard deviation of 2.3.
What percent of students are younger than 25.5?
a.
6.9%
b.
43.1%
c.
75.8%
d.
93.1%
Copyright © 2009 Pearson Education, Inc.
Slide 13 - 41
The following chart shows the pounds of coffee
brewed per day in different sized coffee shops.
Size
(in square yards)
30
Pounds of
Coffee Brewed
5
44
9
57
18
66
23
106
31
Copyright © 2009 Pearson Education, Inc.
Slide 13 - 42
Pounds of coffee brewed
Here’s the scatter diagram for that data.
Determine whether you believe that a correlation
exists between the size of a coffee shop and the
pounds of coffee brewed daily.
Size (in square yards)
a. Yes
Copyright © 2009 Pearson Education, Inc.
b. No
c. Can’t determine
Slide 13 - 43
Pounds of coffee brewed
Here’s the scatter diagram for that data.
Determine whether you believe that a correlation
exists between the size of a coffee shop and the
pounds of coffee brewed daily.
Size (in square yards)
a. Yes
Copyright © 2009 Pearson Education, Inc.
b. No
c. Can’t determine
Slide 13 - 44
Here’s the data, again. Determine the correlation
coefficient between the size of a coffee shop and
the pounds of coffee brewed daily.
Size
30
44
57
66
106
Pounds
5
9
18
23
31
a. ≈ 0.037
b. ≈ –0.963
c. ≈ 0.963
d. ≈ 0.927
Copyright © 2009 Pearson Education, Inc.
Slide 13 - 45
Here’s the data again. Determine the correlation
coefficient between the size of a coffee shop and
the pounds of coffee brewed daily.
Size
30
44
57
66
106
Pounds
5
9
18
23
31
a. ≈ 0.037
b. ≈ –0.963
c. ≈ 0.963
d. ≈ 0.927
Copyright © 2009 Pearson Education, Inc.
Slide 13 - 46
Here’s the data, again. Determine whether a
correlation exists at   0.05. (Use r ≈ 0.963.)
Size
30
44
57
66
106
Pounds
5
9
18
23
31
a. Yes
b. No
c. Can’t determine
Copyright © 2009 Pearson Education, Inc.
Slide 13 - 47
Here’s the data, again. Determine whether a
correlation exists at   0.05. (Use r ≈ 0.963.)
Size
30
44
57
66
106
Pounds
5
9
18
23
31
a. Yes
b. No
c. Can’t determine
Copyright © 2009 Pearson Education, Inc.
Slide 13 - 48
Here’s the data, again. Determine the equation of
the line of best fit between size of a coffee shop
and the pounds of coffee brewed daily.
Size
30
44
57
66
106
Pounds
5
9
18
23
31
a. y  4.01x  0.35
b. y  0.35x  4.01
c. y  0.35x  4.01
d.
Copyright © 2009 Pearson Education, Inc.
y  3.5x  4.01
Slide 13 - 49
Here’s the data, again. Determine the equation of
the line of best fit between size of a coffee shop
and the pounds of coffee brewed daily.
Size
30
44
57
66
106
Pounds
5
9
18
23
31
a. y  4.01x  0.35
b. y  0.35x  4.01
c. y  0.35x  4.01
d.
Copyright © 2009 Pearson Education, Inc.
y  3.5x  4.01
Slide 13 - 50
Use the equation y = 0.35x – 4.01 to predict the
pounds of coffee brewed daily in a coffee shop
that is 95 square yards.
a.
37.26
b.
33.25
c.
29.24
d.
25.23
Copyright © 2009 Pearson Education, Inc.
Slide 13 - 51
Use the equation y = 0.35x – 4.01 to predict the
pounds of coffee brewed daily in a coffee shop
that is 95 square yards.
a.
37.26
b.
33.25
c.
29.24
d.
25.23
Copyright © 2009 Pearson Education, Inc.
Slide 13 - 52