kit C ttvit Reporting Category 4

, Data Analysis and Personal Financial Literacy Exercise 2

7.6G: Solve problems using data represented in bar graphs, dot plots, and circle graphs, including part-to-whole and

part-to-part comparisons and equivalents (Readiness Standard)

Use the following information to answer questions 1 and 2.

The dot plot below shows the number of points students from 2 different classes scored on a science quiz.

Quiz Scores

• • •

• • • • • • • • • • • • • • • • • ••••

• • • • • • • • • • • • • • • • • • • • •

1 )i 4 1 111111111 20 21 22 23 24 25 26 27 28 29 30

Points

(7 1A, 7.1D; 7 1F)

1. Which ratio correctly compares the number of students who scored 28 or more points to the total number of students represented on the dot plot?

A 8:37

B 8:45

C 15:30 D 15:45

(7.1A; 7.1D; 7.1E)

2. What percent of the students scored 27 points or less on the quiz?

A 27%

B 60%

C 66 2-% 3

D 75%

Use the following information to answer questions 3 and 4.

The circle graph below shows the mode of transportation for students at a local middle school.

Transportation to School

Car 5%

(7.1A; 7 10; 7.1E)

3. If 260 students ride their bicycles to school, how many of the students ride in a car?

A 5 B 50

C 65 D 130

(7.1A; 7.1D; 7.1E)

4. If a total of 1,300 students attend the school, how many of them walk to school?

A 45

B 585

C 715

D 1,255

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ECS Learning Systems, Inc. STAAR MASTER' Student Practice Book—Math, Grade 7 143

eporting Category 4

data Analysis and Personal Financial Literacy Exercise 9

7.12A: Compare two groups of numeric data using comparative dot plots or box plots by comparing their shapes,

centers, and spreads (Readiness Standard)

17.1A; 7.1D; 7.1G)

1. Each member of a middle-school's tennis team and track team sold calendars for a fundraiser. Each coach summarized her team's sales on a box plot, as shown below.

Tennis Team's Calendar Sales

10 20 30 40 50 60 70 80 90 100 110 120 130

Number of Calendars

Track Team's Calendar Sales

I H

I I I I I I * 0 10 20 30 40 50 60 70 80 90 100 110 120 130

Number of Calendars

Based on the box plots, which statement is true?

A The distribution of data on both box plots skews right.

B The median number of sales for both teams is the same.

C The box plots for both teams show a symmetrical distribution of data.

D The distribution of data for the tennis team has a greater spread than that of the track team.

(7.1A; 7.1D; 7.1G)

2. In science class, several students designed an experiment to compare the distance a toy car would travel on carpet and on tile. They summarized their data on the box plots below.

Distance Traveled on Carpet

4111111 1 11111111 1 11111 0 2 4 6 8 10 12 14 16 18 20

Feet

Distance Traveled on Tile

-I 1 1 1111111 111111111 11110 0 2 4 6 8 10 12 14 16 18 20

Feet

Based on the box plots, which statement correctly compares the interquartile ranges (IQRs) of the two data sets?

A The difference between the two IQRs is 4.

B The difference between the two IQRs is 5.5.

C The difference between the two IQRs is 12.

D The IQRs for the two data sets are the same.

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STAAR MASTER° Student Practice Book—Math, Grade 7 151 ECS Learning Systems, Inc.

Reporting Category 4 Data Analysis and Personal Financial Literacy Exercise 12

7.128: Use data from a random sample to make inferences about a population (Supporting Standard)

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1. At a gymnastics competition, 100 gymnasts competed in the balance beam event. A random sampling of their scores appears on the dot plot below.

Balance Beam Scores

• • •

• • • • • • • • • •

• • • • • • • • • • • •

I I I I I I I I 1 2 3 4 5 6 7 8 9 10

Score

Based on the dot plot, which score would likely be the most common score among all 100 gymnasts?

A 4

B 6

C 8

D 10

(7.1A, 7 10, 7.1G)

2. A local gym randomly sampled 100 of its senior members to determine the age at which they joined the gym. The box plot below summarizes the results.

Age At Which Senior Members Joined Local Gym

•

1 IIIIIIIIIII I• 52 53 54 55 56 57 58 59 60 61 62 63 64

Age

Based on the box plot, which statement would most likely be true about the population of senior members that belong to the local gym?

A All of the gym's senior members are 52 to 64 years old.

B Most of the gym's senior members joined when they were 57 years old.

C The gym does not accept senior members who are 65 years old or older.

D About half of the gym's senior members joined when they were 55 to 59 years old.

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continued on next page

156 STAAR MASTER' Student Practice Book—Math, Grade 7 ECS Learning Systems, Inc.

Reporting Category 4 Data Analysis and Personal Financial Literacy Exercise 16

7. / 2C: Compare two populations based on data in random samples from these populations, including informal

comparative inferences about differences between the two populations (Supporting Standard)

Use the following information to answer questions 1 and 2.

A coach asked two different groups of students how many liters of water they normally drink each day. The dot plots below summarize the data collected about both groups.

• • •

Group A Group B

• • • • • • • • • •

• • • • • • • • • • • • •

• • • • • • • • • • • • • • • • • • • • • • • • 1 c 1 I I I I 11111111> 0'

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Liters of Water

(7.1A; 7.1D; 7.1G)

1. Which statement correctly describes the shape of the two sets of data shown above?

A The data in both groups skews left and peaks at a value of 3.

B The data in Group A skews left, while the data in Group B skews right.

C The data in Group A skews left, while the data in Group B is perfectly symmetrical.

D The data in Group A skews right, while the data in Group B is generally symmetrical.

Liters of Water

(7.1A; 7.1D; 7.1F)

2. What is the difference between the mean amounts of water that the two groups of students drink each day?

A 0 L

B 0.02 L

C 0.2 L

D 2.0 L

© ECS Learning Systems, Inc. STAAR MASTER' Student Practice Book—Math, Grade 7 161

Reporting Category 4 Data Analysis and Personal Financial Literacy

Exercise 22

7.138: Identify the components of a personal budget, including income; planned savings for college, retirement, and

emergencies; taxes; and fixed and variable expenses, and calculate what percentage each category comprises of

the total budget (Supporting Standard)

(7.1A; 7.1D; 7.1F)

1. The diagram below shows William's pay stub for the first week of August.

Employee: William Bee

Pay Period: Aug. 3-9, 2014

Gross Pay $785.75

Deductions:

Income Tax $107.45

Social Security Tax $56.40

Medicare Tax $9.75

Retirement Plan $48.00

Total Deductions -$221.60

Net Income $564.15

About what percent of William's gross pay was deducted for taxes?

A 3% B 14%

C 22% D 28%

(7.1A; 7.1D; 7.1F)

2. The table below shows Zulema's monthly budget.

Zulema's Monthly Budget

Rent $500 Groceries $175 Electric bill $180

Car payment $200 Entertainment $160

Savings $100

Which of Zulema's monthly expenses are fixed expenses?

A Groceries and rent B Savings and groceries

C Car payment and rent

D Entertainment and electric bill

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Reporting Category 4

Data Analysis and Personal Financial Literacy Exercise 18

7. / 2C: Compare two populations based on data in random samples from these populations, including informal

comparative inferences about differences between the two populations (Supporting Standard)

Use the following information to answer questions 1 and 2.

Members of two cycling teams record the average number of miles they cycle every day. The teams' coaches wanted to compare the average cycling distances of both groups. Each coach used a random sample of his team members' average cycling distances to create a box plot for his team.

Team A Team B

( I I I I I I I

I 5 10 15 20 25 30 35

Average Cycling Distance (in miles)

10 15 20 25 30 35

Average Cycling Distance (in miles)

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(7.1k 7.1D; 7.1F)

1. What is the difference between the ranges of average cycling distances for both teams?

A 0 mi

B 10 mi

C 20 mi

D 30 mi

(7.1A; 7.1D; 7.1G)

2. Which statement correctly describes the interquartile range (IQR) of both data sets shown above?

A The IQR of both teams is 5 miles.

B The IQR of both teams is 10 miles.

C The IQR of Team A is 5 miles, while the IQR of Team B is 10 miles.

D The IQR of Team A is 20 miles, while the IQR of Team B is 30 miles.

© ECS Learning Systems, Inc. STAAR MASTER® Student Practice Book—Math, Grade 7 163

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Subject to availability. Expires Sept. 5th

Susan's Superstore Purchase any tablet in stock this

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processing.

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Reporting Category 4

Data Analysis and Personal Financial Literacy Exercise 27

7.13F: Analyze and compare monetary incentives, including sales, rebates, and coupons (Supporting Standard)

Use the following information to answer questions 1-3.

Three different stores are offering discounts on tablet computers. Tony's Tablets is having its annual sale, Eddie's Electronics is offering a coupon, and Susan's Superstore is offering a rebate. The details of each discount offer are shown below.

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(7.1A; 7.1D; 7.1F)

1. Sarah wants to buy a 10-inch tablet that originally cost $350 at Tony's, $355 at Eddie's, and $375 at Susan's. How much more will the discount be at Susan's Superstore than at Tony's Tablets?

A $10

C $40

B $30

D $75

(7.1A; 7.1D; 7.1F)

2. Dwayne wants to buy a 10-inch tablet that originally cost $320 at Tony's, $325 at Eddie's, and $330 at Susan's. How much will Dwayne pay for the tablet at Eddie's?

(7.1A; 7.1D, 7.1F)

3. Abel wants to buy an 8-inch tablet that originally cost $299 at Tony's, $285 at Eddie's, and $325 at Susan's. Abel has $270 to spend. Abel can buy the 8-inch tablet from—

A Tony's Tablets only

B Eddie's Electronics only

C either Tony's Tablets or Eddie's Electronics

D either Eddie's Electronics or Susan's Superstore

A $213

B $285

C $310

D $335

ECS Learning Systems, Inc. STAAR MASTER® Student Practice Book—Math, Grade 7 173