Determine the mode for each data set.
1. Quiz scores: 79, 84, 92, 79, 86, 79, 86, 80, 91, 79, 96
The mode is 79.
2. Goals scored per game: 4, 0, 3, 0, 2, 2, 5, 1
3. Subscriptions sold per day: 115, 121, 79, 117, 128, 113, 114, 123
4. Number of siblings: 0, 3, 1, 1, 2, 1, 0, 4, 1, 2, 2, 0, 1, 0, 2, 1, 4
5. Hours worked per week: 40, 39, 38, 41, 40.5, 38.5, 37, 32
6. School attendance per day: 1245, 1252, 1247, 1252, 1243, 1244, 1245, 1250
1006
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Chapter 19 Skills Practice©
Carnegie Learning
Lesson 19.1
Skills Practice
page 2
Determine the median for the data set.
7. Pages read per day: 14, 16, 17, 20, 15
Order the data from least to greatest: 14, 15, 16, 17, 20; the median is 16.
8. Hours exercised per week: 4, 3, 9, 5, 7, 5, 9, 11, 3, 4
9. Minutes spent on homework per day: 43, 52, 37, 48, 55, 40, 60, 47, 62
10. Movies rented per month: 10, 11, 6, 8, 4, 11, 13, 10, 8, 7
11. Phone minutes used per month: 200, 187, 209, 254, 174, 201
12. E-mails sent per day: 11, 5, 6, 9, 10, 5, 4, 2, 9, 10
Use cube stacks to determine the balance point for each data set. Move the cubes in the sketch and use words to describe your steps.
13. 1, 5
I moved two cubes from 5 to 1 so both equal 3. The balance point is 3.
14. 2, 3, 7
Chapter 19 Skills Practice
•
1007©
Carnegie Learning
Lesson 19.1
Skills Practice
page 3
Name
________________________________________________________Date
_________________________15. 3, 4, 8, 9 16. 1, 2, 3, 6
17. 1, 2, 3, 4, 5 18. 3, 3, 5, 5, 9
1008
•
Chapter 19 Skills Practice©
Carnegie Learning
Lesson 19.1
Skills Practice
page 4
Use a number line to determine the balance point for each data set. Sketch and describe your steps.
19. 4, 10 Add 3 to 4 and subtract 3 from 10. The balance point is 7.
4 +3 –3 10 20. 3, 7, 8 3 7 8 21. 6, 9, 11, 14 6 9 11 14 22. 2, 4, 5, 8, 16 5 8 4 2 16 462343_C1_Skills_CH19_1005-1028.indd 1008 16/04/13 12:25 PM
Chapter 19 Skills Practice
•
1009©
Carnegie Learning
Lesson 19.1
Skills Practice
page 5
Name
________________________________________________________Date
_________________________ 23. 13, 35, 15, 21, 16, 26 16 21 15 13 26 35 24. 0, 4, 4, 17, 19, 22 4 0 17 19 22Calculate the mean for each data set.
25. Test scores: 95, 98, 89, 91, 93, 95, 97
95 1 98 1 89 1 91 1 93 1 95 1 97 _________________________________ 7 5 94
26. Steps taken each day: 8007, 9212, 8901,
9538, 9017
1010
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Chapter 19 Skills Practice©
Carnegie Learning
Lesson 19.1
Skills Practice
page 6
27. Raffle tickets sold per student: 29, 56, 43, 65, 19, 33, 20, 11
28. Song downloads per month: 4, 6, 3, 8, 7, 11, 10, 8, 4, 21, 14, 9
29. Miles biked per day: 28, 19.1, 17, 20, 22.3, 23, 21.1
30. Hours of babysitting per week: 2, 6, 3 1 __
2 , 7, 7 1 __ 2 , 4, 6, 8
Chapter 19 Skills Practice
•
1005©
Carnegie Learning
Lesson 19.1
Skills Practice
Name
________________________________________________________Date
_________________________In the Middle
Analyzing Data Using Measures of Center
Vocabulary
Choose a word to best complete each sentence.
measure of center mode median mean balance point
1. A measure of center tells you how the data are clustered, or where the “center” of a graph of the data is located.
2. The mean is the arithmetic average of the numbers in a data set.
3. When you have all the points on a number line at the same value after moving data values, this
value is called the balance point .
4. The median is the middle number in a data set when the values are placed in order from least to greatest.
5. The mode is the data value or values that occur most frequently in a data set.
Problem Set
Determine the mode for each data set.
1. Quiz scores: 79, 84, 92, 79, 86, 79, 86, 80, 91, 79, 96
The mode is 79.
2. Goals scored per game: 4, 0, 3, 0, 2, 2, 5, 1
The modes are 0 and 2.
3. Subscriptions sold per day: 115, 121, 79, 117, 128, 113, 114, 123
There is no mode.
4. Number of siblings: 0, 3, 1, 1, 2, 1, 0, 4, 1, 2, 2, 0, 1, 0, 2, 1, 4
The mode is 1.
5. Hours worked per week: 40, 39, 38, 41, 40.5, 38.5, 37, 32
There is no mode.
6. School attendance per day: 1245, 1252, 1247, 1252, 1243, 1244, 1245, 1250
The modes are 1245 and 1252.
1006
•
Chapter 19 Skills Practice©
Carnegie Learning
Lesson 19.1
Skills Practice
page 2
Determine the median for the data set.
7. Pages read per day: 14, 16, 17, 20, 15
Order the data from least to greatest: 14, 15, 16, 17, 20; the median is 16.
8. Hours exercised per week: 4, 3, 9, 5, 7, 5, 9, 11, 3, 4
Order the data from least to greatest: 3, 3, 4, 4, 5, 5, 7, 9, 9, 11; the median is 5.
9. Minutes spent on homework per day: 43, 52, 37, 48, 55, 40, 60, 47, 62
Order the data from least to greatest: 37, 40, 43, 47, 48, 52, 55, 60, 62; the median is 48.
10. Movies rented per month: 10, 11, 6, 8, 4, 11, 13, 10, 8, 7
Order the data from least to greatest: 4, 6, 7, 8, 8, 10, 10, 11, 11, 13; the median is 8 1 10
_______ 2 5 9.
11. Phone minutes used per month: 200, 187, 209, 254, 174, 201
Order the data from least to greatest: 174, 187, 200, 201, 209, 254; the median is 200 1 201
__________
2 5 200.5.
12. E-mails sent per day: 11, 5, 6, 9, 10, 5, 4, 2, 9, 10
Order the data from least to greatest: 2, 4, 5, 5, 6, 9, 9, 10, 10, 11; the median is 6 1 9
______ 2 5 7.5.
Use cube stacks to determine the balance point for each data set. Move the cubes in the sketch and use words to describe your steps.
13. 1, 5
I moved two cubes from 5 to 1 so both equal 3. The balance point is 3.
14. 2, 3, 7
I moved two cubes from 7 to 2 and 1 cube from 7 to 3 so all stacks equal 4. The balance point is 4.
Chapter 19 Skills Practice
•
1007©
Carnegie Learning
Lesson 19.1
Skills Practice
page 3
Name
________________________________________________________Date
_________________________15. 3, 4, 8, 9
I moved 3 cubes from 9 to 3 and 2 cubes from 8 to 4 so all stacks equal 6.
The balance point is 6.
16. 1, 2, 3, 6
I moved 2 cubes from 6 to 1 and 1 cube from 6 to 2 so all stacks equal 3. The balance point is 3.
17. 1, 2, 3, 4, 5
I moved 2 cubes from 5 to 1 and 1 cube from 4 to 2 so all stacks equal 3. The balance point is 3.
18. 3, 3, 5, 5, 9
I moved 2 cubes from 9 to 3 and 2 more cubes from 9 to the other 3 so all stacks equal 5. The balance point is 5.
1008
•
Chapter 19 Skills Practice©
Carnegie Learning
Lesson 19.1
Skills Practice
page 4
Use a number line to determine the balance point for each data set. Sketch and describe your steps.
19. 4, 10 Add 3 to 4 and subtract 3 from 10. The balance point is 7.
4
+3
–3
10
20. 3, 7, 8 Add 2 to 3 to make 5 and subtract 2 from 8. Then add 1 to 5 and subtract 1 from 7. The balance point is 6.
3 +2 +1 –2 –1 8 7
21. 6, 9, 11, 14 Add 4 to 6 and subtract 4 from 14. Then add 1 to 9 and subtract 1 from 11. The balance point is 10.
6 9 +1 +4 –4 –1 14 11
22. 2, 4, 5, 8, 16 Add 7 to 2 to get 9 and subtract 7 from 16 to get 9. Add 2 to 4 to get 6 and subtract 2 from 9 to get 7. Add 1 to 6 and subtract 1 from 8. Add 2 to 5 and subtract 2 from 9. The balance point is 7.
5 8 4 2 +1 +7 –7 –1 –2 –2 +2 +2 16 462343_C1_Skills_CH19_1005-1028.indd 1008 16/04/13 12:25 PM
Chapter 19 Skills Practice
•
1009©
Carnegie Learning
Lesson 19.1
Skills Practice
page 5
Name
________________________________________________________Date
_________________________23. 13, 35, 15, 21, 16, 26 Add 11 to 13 to get 24 and subtract 11 from 35 to get 24. Add 6 to 15 and subtract 3 twice (2 3 3 5 6) from the 2 values at 24. Add 5 to 16 and subtract 5 from 26. The balance point is 21.
16 21 15 13 –5 (–3) × 2 = –6 +6 +5 +11 –11 26 35
24. 0, 4, 4, 17, 19, 22 Add 11 to 0 and subtract 11 from 22. Add 7 to 4 and subtract 7 from 19 to get 12. Add 6 to 4 to get 10 and subtract 6 from 17. Add 1 to 10 and subtract 1 from 12. The balance point is 11.
4 0 –1 +1 +7 –7 +6 –6 +11 –11 22 19 17
Calculate the mean for each data set.
25. Test scores: 95, 98, 89, 91, 93, 95, 97
95 1 98 1 89 1 91 1 93 1 95 1 97 _________________________________ 7 5 94
26. Steps taken each day: 8007, 9212, 8901,
9538, 9017
8007 1 9212 1 8901 1 9538 1 9017 __________________________________
5 5 8935
1010
•
Chapter 19 Skills Practice©
Carnegie Learning
Lesson 19.1
Skills Practice
page 6
27. Raffle tickets sold per student: 29, 56, 43, 65, 19, 33, 20, 11
29 1 56 1 43 1 65 1 19 1 33 1 20 1 11 ______________________________________
8 5 34.5
28. Song downloads per month: 4, 6, 3, 8, 7, 11, 10, 8, 4, 21, 14, 9
4 1 6 1 3 1 8 1 7 1 11 1 10 1 8 1 4 1 21 1 14 1 9 _________________________________________________ 12 5 8.75
29. Miles biked per day: 28, 19.1, 17, 20, 22.3, 23, 21.1
28 1 19.1 1 17 1 20 1 22.3 1 23 1 21.1 ______________________________________ 7 5 21.5
30. Hours of babysitting per week: 2, 6, 3 1 __
2 , 7, 7 1 __ 2 , 4, 6, 8 2 1 6 1 3 1 __ 2 1 7 1 7 1 __ 2 1 4 1 6 1 8 ________________________________ 8 5 5 1 __ 2 462343_C1_Skills_CH19_1005-1028.indd 1010 16/04/13 12:25 PM