# UNIT 6 Measurement 1111 and Data Analyzing and Comparing Data

UNIT 6

Measurement and Data

11 MMOODDUULLEE

Analyzing and Comparing Data

7.6.G, 7.12.A

12 MMOODDUULLEE

Random Samples and Populations

7.6.F, 7.12.B, 7.12.C

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CAREERS IN MATH

Entomologist An entomologist is a biologist who studies insects. These scientists analyze data and use mathematical models to understand and predict the behavior of insect populations.

If you are interested in a career in entomology, you should study these mathematical subjects:

? Algebra ? Trigonometry ? Probability and Statistics ? Calculus

Research other careers that require the analysis of data and use of mathematical models.

Unit 6 Performance Task

At the end of the unit, check out how entomologists use math.

Unit 6 343

UNIT 6

Vo ca b u l a r y

Preview

Use the puzzle to preview key vocabulary from this unit. Unscramble the circled letters to answer the riddle at the bottom of the page.

1

2

3

4

5

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6

Across

3. A sample in which every person, object, or event has an equal chance of being selected (2 words). (Lesson 12.1)

5. A display that shows how the values in a data set are distributed (2 words). (Lesson 11.3)

6. A display in which each piece of data is represented by a dot above a number line (2 words). (Lesson 11.2)

Down

1. A round chart divided into pieces that represent a portion of a set of data (2 words). (Lesson 11.1)

2. The entire group of objects, individuals, or events in a set of data. (Lesson 12.1)

4. Part of a population chosen to represent the entire group. (Lesson 12.1)

Q: Where do cowboys who love statistics live?

A: on the

!

344 Vocabulary Preview

Analyzing and Comparing Data

? ESSENTIAL QUESTION

How can you solve real-world problems by analyzing and comparing data?

11 MODULE

LESSON 11.1

Analyzing Categorical Data

7.6.G

LESSON 11.2

Comparing Data Displayed in Dot Plots

7.12.A

LESSON 11.3

Comparing Data Displayed in Box Plots

7.12.A

? Houghton Mifflin Harcourt Publishing Company ? Image Credits: ?Mike Veitch

my.

Real-World Video

Scientists place radio frequency tags on some animals within a population of that species. Then they track data, such as migration patterns, about the animals.

my.

my.

Go digital with your write-in student

edition, accessible on any device.

Math On the Spot

Scan with your smart phone to jump directly to the online edition, video tutor, and more.

Animated Math

Interactively explore key concepts to see how math works.

Personal Math Trainer

Get immediate feedback and help as

you work through practice sets.

345

Are YOU Ready?

Complete these exercises to review skills you will need for this chapter.

Fractions, Decimals, and Percents

Personal Math Trainer

Online Assessment and my. Intervention

EXAMPLE

Write

_1_3

20

as

a

decimal and a

percent.

20 130..0605 -12 0 1 00 -1 00 0

0.65 = 65%

Write the fraction as a division problem. Write a decimal point and zeros in the dividend. Place a decimal point in the quotient.

Write the decimal as a percent.

Write each fraction as a decimal and a percent.

1.

_ 7 8

5.

_1_9 20

2.

_ 4 5

6.

_7_ 25

3.

_ 1 4

7.

_3_7 50

4.

_3_ 10

8.

_2_9_ 100

Find the Median and Mode

EXAMPLE

17, 14, 13, 16, 13, 11

11, 13, 13, 14, 16, 17

median

=

_13__+__1_4 2

= 13.5

mode = 13

Order the data from least to greatest.

The median is the middle number or the average of the two middle numbers. The mode is the number or numbers, if any, that appear most frequently.

Find the median and the mode of the data.

9. 11, 17, 7, 6, 7, 4, 15, 9

10. 43, 37, 49, 51, 56, 40, 44, 50, 36

Find the Mean

EXAMPLE

17, 14, 13, 16, 13, 11

mean

=

_17__+_1_4__+_1_3_+__1_6_+__1_3_+__1_1 6

=

_8_4 6

= 14

The mean is the sum of the data values divided by the number of values.

Find the mean of the data. 11. 9, 16, 13, 14, 10, 16, 17, 9

12. 108, 95, 104, 96, 97,106, 94

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346 Unit 6

Reading Start-Up

Visualize Vocabulary

Use the words to complete the right column of the chart.

Statistical Data

Definition

Example

Review Word

A group of facts.

Grades on history exams: 85, 85, 90, 92, 94

The middle value of a data set.

85, 85, 90, 92, 94

The number or category that occurs most frequently

in a data set.

85, 85, 90, 92, 94

A value that summarizes a set of values, found through

addition and division.

Results of the survey show that students typically spend 5 hours a week studying.

Vocabulary

Review Words

data (datos) interquartile range (rango entre cuartiles)

mean (media) measure of center (medida central) measure of spread (medida de dispersi?n)

median (mediana) mode (moda)

survey (encuesta)

Preview Words

bar graph (gr?fica de barras) box plot (diagrama de caja) circle graph (gr?fica circular) dot plot (diagrama de puntos)

Understand Vocabulary

Complete each sentence using the preview words.

1. A display that uses values from a data set to show how the

values are spread out is a

.

2. A

uses vertical or horizontal bars to display data.

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Active Reading

Layered Book Before beginning the module, create a layered book to help you learn the concepts in this module. Label each flap with lesson titles from this module. As you study each lesson, write important ideas, such as vocabulary and formulas, under the appropriate flap. Refer to your finished layered book as you work on exercises from this module.

Module 11 347

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