Lesson 16 - Kyrene

Lesson 16.1 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

tells you how the data are clustered, or where the "center"

of a graph of the data is located.

2. The

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

.

4. The

is the middle number in a data set when the values are

placed in order from least to greatest.

5. The

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

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

? 2011 Carnegie Learning

Chapter 16 Skills Practice ? 849

Lesson 16.1 Skills Practice

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

page 2

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

14. 2, 3, 7

? 2011 Carnegie Learning

I moved two cubes from 5 to 1 so both equal 3. The balance point is 3.

850 ? Chapter 16 Skills Practice

Lesson 16.1 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

? 2011 Carnegie Learning

Chapter 16 Skills Practice ? 851

Lesson 16.1 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.

?3 +3

4

10

20. 3, 7, 8

3

21. 6, 9, 11, 14

7 8

6

22. 2, 4, 5, 8, 16

9

11

14

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2

45

8

16

852 ? Chapter 16 Skills Practice

Lesson 16.1 Skills Practice

page 5

Name_________________________________________________________ Date__________________________

23. 13, 35, 15, 21, 16, 26

13

15 16

21

26

35

24. 0, 4, 4, 17, 19, 22

? 2011 Carnegie Learning

0

4

17

19

22

Calculate the mean for each data set. 25. Test scores: 95, 98, 89, 91, 93, 95, 97

_9 _5_1___9_8_1___8_9 __1__97_1 _ _1__9_3_ _1__9_5_ _ 1__ 9_7_ 5 94

26. Steps taken each day: 8007, 9212, 8901, 9538, 9017

Chapter 16 Skills Practice ? 853

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