module 2 - a1.2.3 - data analysis 6.pdfc. d. page4 module 2 - a1.2.3 - data analysis. 7. a community...

Module 2 - A1.2.3 - Data Analysis

Name: Date:

1. Which number is closest to the median of the data set represented by the box-and-whisker plot below?

A. 75 B. 65 C. 60 D. 50

2. The following is an ordered list of monthly normal high temperatures for Phoenix, AZ.

66, 66, 70, 74, 75, 84, 88, 93, 99, 103, 103, 105

Which box-and-whisker plot best displays the data?

A.

B.

C.

D.

page1

3. The stem-and-leaf plot below shows test scores for 25 students.

Which box-and-whisker plot correctly displays the data in the stem-and-leaf-plot?

A.

B.

C.

D.

page2 Module 2 - A1.2.3 - Data Analysis

4. The box-and-whisker plot shown below represents the approximate length (in centimeters) of fish caught by acertain fisherman.

What is the range of the data?

A. 23 centimeters B. 32 centimeters C. 78 centimeters D. 95 centimeters

5. The box-and-whisker plot below represents the distribution of scores from a recent math test for Megan’s class.

Megan’s test score was in the top 25 percent of the class, but was not the highest score. Write a numerical scorethat could be Megan’s score.


6. A researcher collected data on the final heights of corn plants. The data were collected from one farm over fourgrowing seasons. He drew box-and-whisker plots to represent the data he collected for each growing season.

Which of the following box-and-whisker plots shows the greatest median final height?

A.

B.

C.

D.


7. A community center offers classes for students.

• The range of the number of students in each class is 13.

• The median number of students in each class is 9.

Which of the following box-and-whisker plots could represent the numbers of students in the classes?

A. B.

C. D.

8. What is the inter-quartile range for the set of data?

A. 15 B. 30 C. 45

9. According to this box-and-whisker plot, what percent of students study less than 16 hours per week?

A. 50% B. 25% C. 16% D. 6%


10. Andy recorded the number of points he scored in each basketball game he played last season. He used the data tomake this box-and-whisker plot.

Number of Points per Game

Based on the box-and-whisker plot, which statement must be true?

A. Andy’s mean score per game was 22 points.

B. Andy scored more than 25 points in only 1 game.

C. In the games he played, Andy’s scores had a range of 5 points.

D. In at least half the games he played, Andy scored from 20 points to 25 points.

11. The box-and-whisker plot below summarizes student scores on a physical fitness test.

Students receive an award for scores at or above the upper quartile. What is the lowest score a student can get toreceive an award?

A. 60 B. 70 C. 74 D. 84

12. The box-and-whisker plot below summarizes the test scores of an algebra class.

Based on the box-and-whisker plot, which of these must be true?

A. The median score is 70. B. The lower quartile score is 50.

C. Half of the scores are between 60 and 75. D. The interquartile range is half of the range.


13. The box-and-whisker plot below shows the summer salaries of teenagers working in a restaurant.

Based on the box-and-whisker plot, which of the statements about the summer salaries must be true?

A. The least number of salaries are between $500 and $1000.

B. The average (mean) salary is $2500.

C. There are more teenagers who make over $2500 than teenagers who make less than $2500.

D. About half the teenagers earn between $500 and $2500.

14. Look at the box-and-whisker plot below. What range of values contains 50% of the data?

A. 10 − 20 B. 13 − 25 C. 17 − 25 D. 17 − 20


15. The table below shows information about the members of a concert choir at a high school.

Which of the following graphs best describes the choir’s membership data?

A. B.

C. D.


16. The Palmdale High School varsity basketball team’s total points per game for this year’s season are shown below.

Which stem-and-leaf plot could be used to correctly display the data?

A. B.

C. D.

17. In Ms. Jones’ class of 36 students,

• 12 students walk to school,

• 18 students take the bus to school, and

• 6 students are driven to school.

Which circle graph represents Ms. Jones’ class?

A. Graph 1 B. Graph 2 C. Graph 3 D. Graph 4


18. Use the information in the chart below to answer the following question.

School Sports

Team Number of Players

Basketball 12

Football 28

Hockey 16

Soccer 26

Barbara decided to make a graph of the number of players on her school’s sports teams. Which graph correctlyshows the number of players on each team?

A. B.

C. D.


19. Ms. Truman’s students recorded the temperature at 2:15 pm each day for 6 school days. The data are shown below.

Monday 46◦F

Tuesday 58◦F

Wednesday 66◦F

Thursday 49◦F

Friday 38◦F

Monday 50◦F

Which graph below best represents the temperatures recorded from Monday to Monday?

A. B. C. D.

20. Lana charges $5 per hour for babysitting one child and $1.25 for each additional child. Which of the followingtables represents the amount per hour Lana charges for babysitting one through five children?

A. Number of Children 1 2 3 4 5

Total Charge $5.00 $6.25 $7.50 $8.75 $10.00

B. Number of Children 1 2 3 4 5

Total Charge $6.25 $7.50 $8.75 $10.00 $11.25

C. Number of Children 1 2 3 4 5

Total Charge $5.00 $6.25 $11.75 $16.75 $21.75

D. Number of Children 1 2 3 4 5

Total Charge $6.25 $12.50 $18.50 $24.75 $31.00


21. A radio station awarded prizes to the top three winners of a contest.

• The first-place prize was $2000.

• The second-place prize was 30% less than the first-place prize.

• The third-place prize was 30% less than the second-place prize.

Which table shows the three prize amounts in the radio contest?

A. Radio StationContest Prizes

ContestPlace

PrizeAmount

first $2000

second $1970

third $1940

B. Radio StationContest Prizes

ContestPlace

PrizeAmount

first $2000

second $1700

third $1400

C. Radio StationContest Prizes

ContestPlace

PrizeAmount

first $2000

second $1400

third $ 980

D. Radio StationContest Prizes

ContestPlace

PrizeAmount

first $2000

second $1400

third $ 800

22. Use the four stem-and-leaf plots below to answer the following question(s). Each stem-and-leaf plot shows thenumber of points scored by a team in a basketball tournament.

What is the greatest number of points scored by any team in one game?

A. 45 B. 86 C. 113 D. 115


23. This stem and leaf plot shows the height of several trees.

Height in Feetand Inches

5 6, 7, 8, 9, 9

6 0, 0, 0

6 1, 1

6 4

How many trees are less than 6 feet tall?

A. 3 B. 4 C. 5 D. 6

24. The stem-and-leaf plot below shows the total number of hits by each of the 24 players on the high school baseballteam last season.

What fraction of the players had more than 65 hits?

A. 524 B. 1

4 C. 724 D. 3

4


25. The stem-and-leaf plot below shows the number of laps walked by 15 students in a walk-a-thon.

What is the total number of students who walked more than 29 laps?

26. The stem-and-leaf plot below shows the prices, rounded to the nearest dollar, of 25 sweaters sold in the women’sdepartment at a store.

What percent of the sweater prices are less than $40?

A. 17% B. 40% C. 50% D. 68%


27. In this stem and leaf plot, which sentence is true?

A. There are 27 values in the data set. B. The mean of the data is 56.

C. The range of the data is 46. D. There are two modes.

28. Look at the data set.

50, 16, 18, 23, 34, 35, 45, 44

What is the median of the data set?

A. 28.5 B. 34 C. 34.5 D. 35

29. What is the mean of the numbers listed below?

31, 42, 46, 47, 51, 51, 68

A. 37 B. 47 C. 48 D. 51

30. The chart below shows the approximate distances of various towns and cities from Williams.

Which is closest to the mean of the seven distances listed in the chart?

A. 9 miles B. 28 miles C. 38 miles D. 40 miles


31. The stem-and-leaf plot represents test scores from two science classes.

Which statement about the data is true?

A. The median of Ms. Watson’s scores is less than the median of Mr. Vega’s scores.

B. The mode of Ms. Watson’s scores is less than the mode of Mr. Vega’s scores.

C. The mean of Mr. Vega’s scores is greater than the mean of Ms. Watson’s scores.

D. The range of Mr. Vega’s scores is greater than the range of Ms. Watson’s scores.

32. Paul’s first project scores for art were:

6, 87, 84, 96, 100

Which statement is true about the project scores?

A. The mode is the same as the median. B. The median is the same as the mean.

C. The range is the same as the mode. D. The mode is the same as the mean.

33. The table below shows the median commuting distance to work (one-way) for given Arizona cities.

City Median Commute (in miles)

Phoenix 8

Peoria 21

Chandler 15

Mesa 12

Based on the table, which of the following statements must be true?

A. People from Mesa have the longest commute.

B. All people from Phoenix commute at least 8 miles.

C. More people commute from Peoria to Phoenix than from Phoenix to Peoria.

D. At least half the population of Chandler has a commute of 15 or fewer miles.


34. Edgar earned the following scores on his first 10 science tests.

73, 86, 91, 87, 88, 79, 82, 93, 90, 86

Which of these will be affected if Edgar earns a score of 50 on his next test?

A. mean, median, and mode B. mean and median

C. mean only D. median only

35. Monthly Budget

Use the chart below to answer the following question(s).

The chart below shows the monthly budgets (in dollars) of 5 people for 6 categories of expenses.

CATEGORY JIM JOAN JACK JULIE KATHY

RENT 250 375 300 185 205

AUTO 150 275 180 320 250

FOOD 95 130 100 150 110

CLOTHES 75 50 110 80 175

RECREATION 20 30 40 15 50

SAVINGS 50 150 75 90 115

TOTAL 640 1010 805 840 905

What is the median amount budgeted for rent in the budgets of the 5 people?

36. Mr. Young wrote five numbers on the board in his classroom. After class, one of the numbers was erased. Four ofthe five numbers are shown below.

18 25 30 17 ?

If the median of the five numbers that Mr. Young wrote on the board was 18, which of the following could be true?

A. The number that was erased was greater than 30.

B. The mode of the five numbers Mr. Young wrote on the board was 24.

C. The mean of the five numbers Mr. Young wrote on the board was 22.6.

D. The number that was erased was less than or equal to 18.


37. The stem-and-leaf plot shown below displays the number of days it rained last year in 11 different cities.

What is the mode of this set of data?

38. The list below shows the ages of the students in Mario’s computer class.

15, 13, 12, 14, 12, 14, 15, 13, 14, 16, 14

What is the range of the ages of the students in the class?

39. Sina’s goal is to exercise a mean of 45 minutes per day for one week. For the first 6 days of the week, sheexercised 35, 40, 37, 42, 45, and 50 minutes.

What is the number of minutes Sina must exercise on the 7th day of the week to reach her goal exactly?

A. 21 minutes B. 42 minutes C. 49 minutes D. 66 minutes

40. Lorna swam 30 laps per day for the first 6 days of swim practice. She swam 40 laps per day for the next 4 daysof practice. What was the mean number of laps that Lorna swam per day for these 10 days?

41. The prices of some of the comic books sold in a collectors’ catalogue are listed below.

$5.00 $20.00 $4.50 $3.00 $3.50

$3.00 $5.50 $3.00 $6.00 $4.00

What is the mean price of these books?

A. $3.00 B. $4.25 C. $5.00 D. $5.75


42. Tara wrote a set of three numbers.

• The mean of her set is 8.

• The range of her set is 14.

Which of the following could be Tara’s set of numbers?

A. 2, 8, 14 B. 4, 6, 18 C. 2, 6, 16 D. 6, 8, 10

43. The bar graph below shows a group of students’ scores on a history quiz.

Which of the following statements is not correct?

A. Thirty-seven students took the quiz.

B. The mode score was 70 on the quiz.

C. The mean and median scores on the quiz are the same.

D. Exactly 50% of the students scored 70 or higher on the quiz.

44. Doreen is analyzing a box-and-whisker plot that correctly shows the results of a poll in which a representativesample of people in Boston were asked to state their annual incomes.

Which of the following will Doreen be unable to determine from this box-andwhisker plot?

A. the highest annual income among those polled B. the median annual income among those polled

C. the mean annual income among those polled D. the lowest annual income among those polled


45. Four major underwater tunnels were constructed in New York City between 1925 and 1950. The tunnels and theirlengths are listed in the chart below.

New York City Tunnel Lengths

TunnelName

Length(kilometers)

YearCompleted

Holland 2.6 1927

Lincoln 2.5 1937

Queens-Midtown 1.9 1940

Brooklyn-Battery 2.8 1950

Which of the following is closest to the mean of these four lengths?

A. 2.20 kilometers B. 2.35 kilometers C. 2.45 kilometers D. 2.55 kilometers

46. Malcolm is on an after-school bowling team. The team bowls once every week. His scores for the first 3 weekswere 98, 107, and 101. What was his average (mean) score?

A. 107 B. 102 C. 101 D. 99

47. Tetsu rides his bicycle x miles for the first day, y miles the second day, and z miles the third day. Which of thefollowing expressions represents the average number of miles per day that Tetsu travels?

A. x + y + z B. xyz C. 3(x + y + z) D. 3(xyz) E.(x + y + z)

3


48. The table shows the number of gallons of paint sold at a paint store each week in one month.

What was the mean number of gallons of paint sold each week at this store?

A. 321.5 B. 177 C. 260.5 D. 322.5

49. Ms. Perez said that half of her employees earn more that $28,000 per year and the other half earn less. Whatstatistical measure did she use to reach her conclusion?

A. mean B. median C. mode D. range

50. A number cube is labeled with the digits 1 through 6. The cube is tossed once. What is the probability that thecube will land on either a 4 or a 6?

A.1

2B.

1

3C.

1

4D.

1

6

51. A color tile will be taken at random from a bag that contains 2 blue tiles, 5 red tiles, and 4 green tiles. What isthe probability that the tile will be green?

A. 110 B. 1

4 C. 411 D. 4

7

52. Ken will conduct a probability experiment by removing a cube from a bag of colored cubes that are all the samesize and shape. Ken will use the following procedure.

• Without looking, remove a cube.

• Record its color.

• Put it back in the bag.

• Repeat the experiment.

The probability of drawing a green cube is 12 . What is the probability that the first 3 cubes that Ken removes will

be green?

A. 18 B. 1

4 C. 38 D. 3

2


53. Marissa and Jimena each conducted 75 trials of the same experiment at the miniature golf course.

• The bucket had only green, red, and yellow golf balls.

• Each girl randomly selected golf balls from a bucket.

• Each girl recorded the color of the golf ball, replaced it, and then chose another golf ball.

Which statement is best supported by these results?

A. There are more green balls in the bucket than yellow balls.

B. There are twice as many red balls in the bucket than green balls.

C. There is the same number of green, red, and yellow balls in the bucket.

D. There is the same number of green and red balls in the bucket.

54. The number cube shown is numbered 1 through 6 on its faces.

When the cube is tossed once, what is the probability a number divisible by three will be on the top face?

A. 13 B. 1

6 C. 12 D. 1


55. In a cafeteria survey, 300 students chose one favorite lunch from 4 choices. The probability that a randomlyselected student chose pizza was 0.25. Which data set supports this conclusion?

A.

B.

C.

D.

56. Frank has 2 Massachusetts quarters and 3 “Eagle” quarters in his pocket, as pictured below.

He will select a quarter at random, look at it, and put it back. Then he will select another quarter at random.

What is the probability that Frank will select a Massachusetts quarter both times?

A. 225 B. 4

25 C. 14 D. 1

2


57. The grand prize in a radio station contest is a cruise. At the end of the contest, a computer will randomly selectthe winner’s destination, room location, and dinnertime from the options in the table below.

Cruise Options

What is the probability that the computer will select a cruise to Alaska with a room on Deck 2 and a dinnertimeof 7:00–9:00 p.m.?

A. 111 B. 1

19 C. 128 D. 1

48

58. The probability that a customer will bring 1, 2, 3, 4, 5, or 6 items to the express lane in a grocery store is shownin the chart below.

Items Brought toan Express Lane

Number ofItems

Probability

1 14%

2 11%

3 8%

4 11%

5 31%

6 25%

What is the probability that a customer will bring less than 5 items to the express lane?

A. 0.11 B. 0.31 C. 0.44 D. 0.75


59. On the spinner shown below, the sizes of the sections are as follows:

• Sections S and U are equal in size.

• Sections R and T are equal in size.

• The size of section S is half the size of section T.

If Darryl spins the arrow one time, what is the probability that it will land on section S?

A. 16 B. 1

4 C. 13 D. 1

2

60. The tiles below are all placed into a bag. Robert reaches into the bag without looking and picks one tile.

What is the probability that ROBERT will pick a tile with a letter in his name?

A. 18 B. 1

4 C. 26 D. 3

5


61. Maria divided a fair spinner into 8 equal sections and colored the sections.

If she spins one time, what is the probability the spinner will land on blue or yellow?

A.1

8B.

1

4C.

3

8D.

4

8

62. The bags pictured below contain red and green chips. If Jeff picks a chip at random, from which bag will he havethe greatest chance of picking a red chip?

A. B. C. D.

63. Charles has two dimes, four nickels, and some quarters in his pocket. If the probability of drawing a quarter out ofhis pocket is 1

2 , how many quarters does he have?

A. 2 B. 4 C. 6 D. 8

64. The probability of winning a game is 110 . Sam plays the game 400 times. Based on the probability, how many

games should he expect to win?

A. 4 B. 40 C. 400


65. To win a carnival game, Keisha must throw a dart at a board four feet by three feet and hit one of the 25 circleson the board. The diameter of each circle is four inches.

Approximately what percent of the time will a randomly thrown dart that hits the board also hit a circle?

A. 18% B. 26% C. 63% D. 73%

66. A circle is inscribed in a square, as shown below.

If a point is randomly chosen inside the square, what is the approximate chance that the point lies outside thecircle?

A. 21% B. 27% C. 73% D. 79%


67. Shelby asked 15 friends to name their favorite ice-cream flavor.

If Shelby chooses one of her friends at random, what is the probability that this friend’s favorite flavor is eitherstrawberry or vanilla?

A. 13 B. 2

5 C. 815 D. 11

15

68. Mason has 10 black, 12 white, and 3 brown pairs of socks in one drawer. What is the probability that, withoutlooking, Mason will pick a brown pair of socks from the drawer?

A. 4% B. 12% C. 14% D. 33 13%


69. This design shows a floor made up of light and dark tiles.

If a tile on the floor is selected at random, what is the probability that the tile will be dark?

A. 135 B. 1

17 C. 1735 D. 17

18

70. These cards are placed in a bag.

What is the probability Lauren will pick a card with a sum greater than 15?

A. 16 B. 1

5 C. 36 D. 2

4


71. Taylor divided a spinner into four equal sections. He labeled each section with the name of an animal. This tableshows the results of Taylor spinning the arrow 25 times.

TAYLOR’S SPINNER

Animal Numberof Spins

Elephant 7

Lion 4

Tiger 5

Zebra 9

Based on the data in the table, what is the probability that on Taylor’s next spin the arrow will land on the zebrasection?

A. 25% B. 36% C. 64% D. 90%

72. A quality control engineer for the Have Fun Toys Company tested 800 video game cartridges and found 3 defectivecartridges. The company plans to produce 500,000 video game cartridges this year. Based on the findings, howmany video game cartridges can be expected to be defective?

A. 16 B. 20 C. 1,875 D. 2,000

73. Using the results in the tables, what is the probability of a spinner landing on the letter P in both experiments?

A. 310 B. 2

5 C. 325 D. 7

20


74. The spinners below are each divided into 4 equal sections

If each spinner is spun once, what is the probability that the arrows will both land on A?

A. 14 B. 2

4 C. 216 D. 1

16

75. Use the spinners to answer the question.

When playing a board game, you spin two spinners with congruent sectors numbered 1 through 7 as shown. If thesum of the two numbers you spin is 12, 13, or 14, you win. What is the probability of winning?

A. 2149 B. 10

49 C. 1549 D. 6

49

76. A set of 36 cards is numbered with the positive integers from 1 to 36. If the cards are shuffled and one is chosenat random, what is the probability that the number on the card is a multiple of both 4 and 6?

A. 112 B. 1

6 C. 512 D. 2

3

77. Joseph has two number cubes, each with faces labeled by the numbers −15, −10, −5, 5, 10, and 15.

If Joseph rolls the two cubes and adds the resulting numbers, what is the probability that the sum will be 0?

A. 136 B. 1

12 C. 14 D. 1

6


78. Lita flipped a coin 5 times. On each flip the coin landed on tails. Which of these shows how to calculate theprobability of this outcome?

A. 5 × 12 B. 1

2 × 15 C. 1

2 × 12 × 1

2 × 12 × 1

2 D. 12 + 1

2 + 12 + 1

2 + 12

79. Students made a chart showing the colors and sizes of 62 birds they saw at a zoo.

What is the probability that a randomly selected bird at the zoo will be large and black?

A. 331 B. 7

31 C. 619 D. 19

62

80. A fair spinner is divided into ten equal sections numbered 1 through 10. Another fair spinner is divided into sixequal sections numbered 2, 4, 6, 8, 10, and 12.

What is the probability that both spinners will land on 6?

A. 1660 B. 2

60 C. 160 D. 1

100


Problem-Attic format version 4.4.172c_ 2011–2013 EducAide Software

Licensed for use by Tammie WilkesTerms of Use at www.problem-attic.com

Module 2 - A1.2.3 - Data Analysis 04/26/2013

1.Answer: B

2.Answer: D

3.Answer: B

4.Answer: C

5.

6.Answer: A

7.Answer: A

8.Answer: A

9.Answer: B

10.Answer: D

11.Answer: C

12.Answer: D

13.Answer: D

14.Answer: C

15.Answer: D

16.Answer: B

17.Answer: B

18.Answer: B

19.Answer: B

20.Answer: A

21.Answer: C

22.Answer: D

23.Answer: C

24.Answer: B

25.Answer: 4

26.Answer: D

27.Answer: A

28.Answer: C

29.Answer: C

30.Answer: C

31.Answer: D

32.Answer: A

33.Answer: D

34.Answer: B

35.

36.Answer: D

37.Answer: 11

38.

39.Answer: D

40.Answer: 34

Teacher’s Key Page 2

41.Answer: D

42.Answer: C

43.Answer: D

44.Answer: C

45.Answer: C

46.Answer: B

47.Answer: E

48.Answer: A

49.Answer: B

50.Answer: B

51.Answer: C

52.Answer: A

53.Answer: A

54.Answer: A

55.Answer: C

56.Answer: B

57.Answer: D

58.Answer: C

59.Answer: A

60.

61.

62.

63.

64.Answer: B

65.

66.Answer: A

67.Answer: B

68.Answer: B

69.Answer: C

70.Answer: A

71.Answer: B

72.Answer: C

73.Answer: C

74.Answer: D

75.Answer: D

76.Answer: A

77.Answer: D

78.

79.Answer: A

80.

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