Skills Practice - Davis School District

Skills Practice - Davis School District

Lesson 15.1 Skills Practice
Name_________________________________________________________ Date__________________________
Checking the Papers and the Blogs
Comparing Measures of Center of Two Populations
Problem Set
Describe the distribution of both data sets for each plot shown.
1. The line plot shows the number of hours of video games per week played by boys and girls.
The distribution of the girls’ data is
Hours of Video Games Played Per Week
O
OX
X X
X
O O OO O X X
X
0
2
4
6
8
10
12
14
16
18
symmetric. The distribution of the boys’ data is roughly symmetric, too.
20
O = girls
X = boys
2. The stem-and-leaf plot shows the total points earned per game by two different teams.
Points Scored Per Game
Sharks
Tigers
9
83
743
8710
5
6
7
8
3589
489
02
2
5|3 = 53
© 2011 Carnegie Learning
3. The line plot shows the number of texts sent per week by teachers and students.
Number of Tests Sent Per Week
O
OO
O
OOOO X
X
X X
X
0
2
4
6
8
10
12
14
16
X
X X
18
20
O = teachers
X = students
Chapter 15 Skills Practice • 893
Lesson 15.1 Skills Practice
page 2
4. The stem-and-leaf plot shows the number of books sold per day by two different book sellers.
Books Sold Per Day
Big Book Buy
Online Books
25
26
27
28
29
30
31
32
98750
420
53
0
0
58
889
47899
25|5 = 255
5. The line plot shows the number of reps performed per exercise by Jan and Gavin.
0
2
Number of Reps Per Exercise
X
X
O
O
X
X X O
X
O
O
O
4
18
6
8
10
12
14
16
20
X = Jan
O = Gavin
Number of Tweets Per Day
KJamz
Pepper
55
643
4300
0
0
1
2
3
4
5
23667
0015
0
2|4 = 24
894 • Chapter 15 Skills Practice
© 2011 Carnegie Learning
6. The stem-and-leaf plot shows the number of tweets sent per day by two celebrities.
Lesson 15.1 Skills Practice
page 3
Name_________________________________________________________ Date__________________________
Estimate the means of both data sets from each of the plots shown. Then determine the actual means.
7.
Estimate: girls 5 7; boys 5 10
Hours of Video Games Played Per Week
O
OX
X X
X
O O OO O X X
X
0
2
4
6
8
10
12
14
16
18
Actual: girls 5 49 4 7 5 7
20
O = girls
boys
5 70 4 7 5 10
X = boys
8.
Points Scored Per Game
Sharks
Tigers
9
83
743
8710
5
6
7
8
3589
489
02
2
5|3 = 53
© 2011 Carnegie Learning
9.
X
0
Number of Tests Sent Per Week
O
OO
O
OOOO X
X
X X
2
4
6
8
10
12
14
16
X
X X
18
20
O = teachers
X = students
Chapter 15 Skills Practice • 895
Lesson 15.1 Skills Practice
10.
page 4
Books Sold Per Day
Big Book Buy
Online Books
25
26
27
28
29
30
31
32
98750
420
53
0
0
58
889
47899
25|5 = 255
11.
0
2
Number of Reps Per Exercise
X
X
O
O
X
X X O
X
O
O
O
4
18
6
8
10
12
14
16
20
X = Jan
O = Gavin
55
643
4300
0
0
1
2
3
4
5
23667
0015
0
2|4 = 24
896 • Chapter 15 Skills Practice
© 2011 Carnegie Learning
12. Number of Tweets Per Day KJamz
Pepper
Lesson 15.1 Skills Practice
page 5
Name_________________________________________________________ Date__________________________
Determine the mean absolute deviation for both data sets in each plot.
13.
Girls’ Mean Absolute Deviation:
Hours of Video Games Played Per Week
O
OX
X X
X
O O OO O X X
X
2 1 1 1 0 1    
0 ​ 5 ​ 
1 0 1 1  
1 2 __
6 ​ <
​ _________________________
  0.86
7
7
0
2
4
6
8
10
12
14
16
18
20
O = girls
Boys’
X = boys
Mean Absolute Deviation:
18
7 1 2 1 0 1    
0 ​ 5
1 1 1 1  
1 7 ___
  2.57
​ _________________________
​   ​ <
7
7
Girls
Deviation
Boys
Absolute
Deviation
Absolute
5 2 7 5 22
|​ 22 |​ 5
2
3 2 10 5 27
|​ 27 |​ 5
7
6 2 7 5 21
|​ 21 |​ 5
1
8 2 10 5 22
|​ 22 |​ 5
2
72750
0
10 2 10 5 0
0
72750
0
10 2 10 5 0
0
72750
0
11 2 10 5 1
|​ 1 |​ 5
1
|​ 1 |​ 5
1
11 2 10 5 1
|​ 1 |​ 5
1
92752
|​ 2 |​ 5
2
17 2 10 5 7
|​ 7 |​ 5
7
© 2011 Carnegie Learning
82751
Chapter 15 Skills Practice • 897
Lesson 15.1 Skills Practice
14.
Points Scored Per Game
Sharks
9
83
743
8710
page 6
Tigers
5
6
7
8
3589
489
02
2
5|3 = 53
Sharks
Absolute
Deviation
Absolute
© 2011 Carnegie Learning
Deviation
Tigers
898 • Chapter 15 Skills Practice
Lesson 15.1 Skills Practice
page 7
Name_________________________________________________________ Date__________________________
15.
X
0
Number of Tests Sent Per Week
O
OO
O
OOOO X
X
X X
2
4
6
8
10
12
14
16
X
X X
18
20
O = teachers
X = students
Teachers
Absolute
Deviation
Absolute
© 2011 Carnegie Learning
Deviation
Students
Chapter 15 Skills Practice • 899
Lesson 15.1 Skills Practice
16.
page 8
Books Sold Per Day
Big Book Buy
Online Books
98750
420
53
0
25
26
27
28
29
30
31
32
0
58
889
47899
25|5 = 255
Big Book Buy
Absolute
Deviation
Absolute
© 2011 Carnegie Learning
Deviation
Online Books
900 • Chapter 15 Skills Practice
Lesson 15.1 Skills Practice
page 9
Name_________________________________________________________ Date__________________________
17.
0
2
Number of Reps Per Exercise
X
X
O
O
X
X X O
X
O
O
O
4
18
6
8
10
12
14
16
20
X = Jan
O = Gavin
Jan
Absolute
Deviation
Absolute
© 2011 Carnegie Learning
Deviation
Gavin
Chapter 15 Skills Practice • 901
Lesson 15.1 Skills Practice
page 10
18. Number of Tweets Per Day KJamz
Pepper
55
643
4300
0
0
1
2
3
4
5
23667
0015
0
2|4 = 24
KJamz
Absolute
Deviation
Absolute
© 2011 Carnegie Learning
Deviation
Pepper
902 • Chapter 15 Skills Practice
Lesson 15.1 Skills Practice
page 11
Name_________________________________________________________ Date__________________________
Determine the five number summary and IQR for both data sets in each plot.
19.
0
2
4
6
8
10
12
14
16
O = girls
X = boys
20.
Hours of Video Games Played Per Week
O
OX
X X
X
O O OO O X X
X
Points Scored Per Game
Sharks
9
83
743
8710
18
20
Girls
Boys
Minimum
5
3
Q1
6
8
Median
7
10
Q3
8
11
Maximum
9
17
IQR
82652
11 2 8 5 3
Sharks
Tigers
Tigers
5
6
7
8
3589
489
02
2
Minimum
Q1
© 2011 Carnegie Learning
Median
5|3 = 53
Q3
Maximum
IQR
Chapter 15 Skills Practice • 903
Lesson 15.1 Skills Practice
21.
0
Number of Tests Sent Per Week
O
OO
O
OOOO X
X
X X
X
2
4
6
8
10
12
14
16
page 12
Teachers
X
X X
18
20
Students
Minimum
O = teachers
X = students
Q1
Median
Q3
Maximum
IQR
Books Sold Per Day
Big Book Buy
Online Books
98750
420
53
0
25
26
27
28
29
30
31
32
Big Book Buy
Online Books
Minimum
0
58
889
47899
25|5 = 255
Q1
Median
Q3
Maximum
IQR
904 • Chapter 15 Skills Practice
© 2011 Carnegie Learning
22.
Lesson 15.1 Skills Practice
page 13
Name_________________________________________________________ Date__________________________
23.
0
2
Number of Reps Per Exercise
X
X
O
O
X
X X O
X
O
O
O
4
18
6
8
10
12
X = Jan
O = Gavin
14
16
20
Jan
Gavin
KJamz
Pepper
Minimum
Q1
Median
Q3
Maximum
IQR
24. Number of Tweets Per Day KJamz
Pepper
55
643
4300
0
0
1
2
3
4
5
23667
0015
0
© 2011 Carnegie Learning
2|4 = 24
Minimum
Q1
Median
Q3
Maximum
IQR
Chapter 15 Skills Practice • 905
© 2011 Carnegie Learning
906 • Chapter 15 Skills Practice
Lesson 15.2 Skills Practice
Name_________________________________________________________ Date__________________________
Can Podcasts Affect Ratings?
Comparing Measures of Center of Two Populations
Problem Set
Use lines 10–13 of the random number table to select random samples from a data set of 50 middle
school students.
Line 10 29478 59652 50414 31966 87912 87154 12944 49862 96566 48825
Line 11 96155 95009 27429 72918 08457 78134 48407 26061 58754 05326
Line 12 29621 66583 62966 12468 20245 14015 04014 35713 03980 03024
Line 13 12639 75291 71020 17265 41598 64074 64629 63293 53307 48766
1. Choose a random sample of 6 students from Line 10. Assign students 2-digit numbers 50–99.
85, 96, 52, 50, 66, 87
2. Choose a random sample of 7 students from Line 12. Assign students 2-digit numbers 20–79.
© 2011 Carnegie Learning
3. Choose a random sample of 6 students from Line 13. Assign students 2-digit numbers 45–94.
4. Choose a random sample of 5 students from Lines 10–11. Assign students 3-digit
numbers 250–299.
5. Choose a random sample of 5 students from Lines 12–13. Assign students 3-digit
numbers 250–349.
6. Choose a random sample of 6 students from Lines 10–13. Assign students 4-digit numbers
9000–9999
Chapter 15 Skills Practice • 907
Lesson 15.2 Skills Practice
page 2
Display the data from each table in either a back-to-back stem-and-leaf plot or two line plots using the
same scale. Describe the distribution of the data.
7. Create a back-to-back stem-and-leaf plot from the data in the table showing students’ sales of two
different fund-raising items.
Raffle Tickets
Sold
Candy Bars
Sold
23
9
15
8
35
0
28
12
30
15
11
5
30
3
32
30
8
20
27
12
Fund-raising Items Sold
Raffle Tickets
Sold
8
51
873
5200
Candy Bars
Sold
0
1
2
3
03589
225
0
0
1|2 = 12
© 2011 Carnegie Learning
The data for raffle tickets is skewed left and the data for candy bars is skewed right.
908 • Chapter 15 Skills Practice
Lesson 15.2 Skills Practice
page 3
Name_________________________________________________________ Date__________________________
8. Create two line plots using the same scale from the data in the table showing two friends’ weekly
volunteer hours.
Kylie
5
5
9
6
8
3
9
4
7
6
8
5
9
8
9
9
6
6
8
7
© 2011 Carnegie Learning
Luke
Chapter 15 Skills Practice • 909
Lesson 15.2 Skills Practice
page 4
9. Create a back-to-back stem-and-leaf plot from the data in the table showing students’ math test
scores from two different classrooms.
Mr. Hannon
85
88
78
90
77
93
90
84
91
85
93
92
76
95
91
90
79
79
86
89
© 2011 Carnegie Learning
Ms. Kinzer
910 • Chapter 15 Skills Practice
Lesson 15.2 Skills Practice
page 5
Name_________________________________________________________ Date__________________________
10. Create two line plots using the same scale from the data in the table showing the amount of money
each sibling spent per week.
Linda
10
18
6
15
15
16
9
17
12
10
5
13
10
17
11
18
10
17
7
9
© 2011 Carnegie Learning
Julio
Chapter 15 Skills Practice • 911
Lesson 15.2 Skills Practice
page 6
11. Create two line plots using the same scale from the data in the table showing cars sold per month
by two different salespeople.
Salesperson B
18
5
10
6
9
4
12
10
17
9
18
7
20
6
14
6
18
2
17
5
© 2011 Carnegie Learning
Salesperson A
912 • Chapter 15 Skills Practice
Lesson 15.2 Skills Practice
page 7
Name_________________________________________________________ Date__________________________
12. Create a back-to-back stem-and-leaf plot from the data in the table showing daily temperature in
degrees Fahrenheit for two cities.
Cooltown
68
72
70
69
75
63
80
58
76
70
75
50
77
63
69
52
75
54
81
53
© 2011 Carnegie Learning
Sunnyville
Chapter 15 Skills Practice • 913
Lesson 15.2 Skills Practice
page 8
Tell whether the mean or median is the best measure of center for the data shown in each. Explain why.
13. median (skewed left)
X
0
14.
X
X
X
X
X X
X X
X
5
0
1
2
3
4
10
5
23
0125
05
1
2|0 = 20
16.
5
6
7
8
0012
355
3
1
X X
0
17.
0
X X
5
X
X X
X X
X X X
0
5
10
XX
15
20
18.
X
X X X
X X X
5
X
X XX
XX XX
10
X
10
X X
10
914 • Chapter 15 Skills Practice
5420
99311
2
3
4
5
24
0
113
01228
© 2011 Carnegie Learning
15.
Lesson 15.3 Skills Practice
Name_________________________________________________________ Date__________________________
Finding Your Spot to Live
Drawing Conclusions about Two Populations
Problem Set
Describe the distribution and variation of each graphical display of data.
1.
X
X
X X
X X
0
Both sets of data are symmetric.
X
X
5
X
X
X
X
0
X
X
10
X
X
5
2.
8
542
6430
10
0
1
2
3
4
0134
025
1
© 2011 Carnegie Learning
2|1 = 21
3.
50
50
40
40
30
30
20
20
10
10
0
0
5
10
15
20
25
0
0
5
10
15
20
25
Chapter 15 Skills Practice • 915
Lesson 15.3 Skills Practice
page 2
4.
X
X
50
60
X
5.
80
70
90
100
90
100
X
X X
X X
X
50
X
X X
X X
60
80
70
0 7 8
965 8 38
751 9 00
0 10 000
9|0 = 90
6.
100
80
80
60
60
40
40
20
20
0
0
10
20
30
40
50
916 • Chapter 15 Skills Practice
0
0
10
20
30
40
50
© 2011 Carnegie Learning
100
Lesson 15.3 Skills Practice
page 3
Name_________________________________________________________ Date__________________________
Use the five number summaries to create box-and-whisker plots for both data sets in each along the
same number line.
7.
8.
© 2011 Carnegie Learning
9.
Minimum
4
1
Q1
6
3
Median
8
4
Q3
10
7
Maximum
12
15
IQR
4
4
Minimum
0
3
Q1
10
8
Median
15
10
Q3
17
11
Maximum
20
17
IQR
7
3
Minimum
25
10
Q1
35
20
Median
40
25
Q3
45
45
Maximum
50
50
IQR
10
25
0
5
10
15
20
Chapter 15 Skills Practice • 917
Lesson 15.3 Skills Practice
11.
12.
Minimum
1
5
Q1
2
7
Median
3
10
Q3
4
13
Maximum
11
18
IQR
2
6
Minimum
0
0
Q1
15
5
Median
35
10
Q3
37
12
Maximum
40
25
IQR
22
7
Minimum
40
10
Q1
60
40
Median
70
70
Q3
80
80
Maximum
100
100
IQR
20
40
918 • Chapter 15 Skills Practice
© 2011 Carnegie Learning
10.
page 4
Lesson 15.3 Skills Practice
page 5
Name_________________________________________________________ Date__________________________
Compare the box-and-whisker plots in each and describe the variation.
13.
The data on the bottom is symmetric and the
data on top is skewed right.
0
10
14.
0
50
15.
© 2011 Carnegie Learning
0
20
16.
0
100
Chapter 15 Skills Practice • 919
Lesson 15.3 Skills Practice
page 6
17.
0
10
18.
50
© 2011 Carnegie Learning
0
920 • Chapter 15 Skills Practice