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
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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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