Data Analysis
Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
1The Venn diagram shows the number of students in Arsenio’s school who speak a foreign language fluently. If 98 students can speak French, Spanish, OR German fluently, how many students can speak French AND Spanish but NOT German?
A / 8 / C / 17B / 10 / D / 18
2A tank is being filled with water at a constant rate. The table shows the number of gallons of water in the tank after a given number of minutes. If the tank can hold 2,000 gallons, what is the LEAST amount of time it would take to fill the tank?
Time(minutes) / 2 / 4 / 6 / 8 / 10 / 12
Water
(gallons) / 220 / 440 / 660 / 880 / 1,100 / 1,320
F / 16 minutes / H / 19 minutes
G / 18 minutes / I / 20 minutes
3The stem-and leaf-plot shows the National League’s top batting averages from 1988 through 2001. How many of the averages were higher than .350?
National LeagueLeading Batting Averages
1988—2001
Stem / Leaf
.31 / 3 9
.32
.33 / 0 5 6
.34
.35 / 0 3
.36 / 3 8
.37 / 0 2 2 9
.38
.39 / 4
A / 6 / C / 8
B / 7 / D / 9
4The box-and-whisker plot shows the National League’s leading batting averages from 1982 through 2001. What is a correct interpretation of the box-and-whisker plot?
F / The mean of the national league leading batting averages during the last 20 years is .351.G / The lowest national league leading batting average during the last 20 years is .332.
H / The highest national league leading batting average during the last 20 years is .374.
I / The median of the national league leading batting averages during the last 20 years is .351.
5The bar graph represents 20 peoples’ attitudes towards hip-hop music. What percentage of the people like or strongly like hip-hop music?
A / 20% / C / 40%B / 30% / D / 70%
6A group of Florida citrus growers were provided with the results of a survey on people’s attitudes toward orange juice. If 1,000 people were surveyed, how many people strongly liked orange juice?
F / 230 / H / 760G / 380 / I / 860
7The bar graph shows the ratio of calories to fat grams for various types of fast food. Which fast food has the highest ratio of calories to fat grams?
A / hamburger / C / fried chickenB / pizza / D / taco
8The 2000 census breaks down the population of Miami into the ethnic groups as shown in the circle graph. If the total population of Miami was 362,470 in 2002, about how many people were of Hispanic/Latino descent?
F / 3,625 / H / 83,368G / 36,247 / I / 239,230
9Luke kept track of a certain stock by plotting its value each month, as shown in the graph. His friend Larry looked at the graph and described the value of the stock as “increasing rapidly.” Which statement describes why the graph is misleading?
A / The intervals on the vertical scale are not consistent.B / The graph does not show enough data points.
C / The graph shows too many data points.
D / The average value of the graph is not labeled.
10The stem-and-leaf at the right shows the scores on a test taken in 9th grade. The teacher described the average score as 71.7%. Which error was made in determining the average score?
Test ScoresStem / Leaf
5 / 0 1
6 / 2 6 6 7
7 / 0 0 1 2
8 / 2 3
9 / 2 4 4 4
F / The stem values were not used in the calculation.
G / The median score was given as the average score.
H / The repeated values were not used in the calculation.
I / The lowest score was not used in the calculation.
11In 1975, the percent of homes with cable television was 13.2%, or 9,196,690 subscribers. In 1995, the number rose to 65.7%, or 62,956,470 subscribers. If the trend continues at the same rate, what percent of homes will have cable television by the year 2005?
A / 79% / C / 86%B / 83% / D / 92%
12The percent of households with more than one television in certain years is shown in the table. If the trend continues with the same pattern, which of the following percents is the best prediction for the year 2005?
Year / Percent1975 / 43
1980 / 50
1985 / 57
1990 / 65
1995 / 71
2000 / 76
F / 77% / H / 80%
G / 78% / I / 82%
13The weights of the players who will be on the Miami Dolphins’ offensive line at the start of a game are listed. Which measure of central tendency would make the team’s offensive line seem the largest?
Player / LT / LG / C / RG / RTWeight (pounds) / 295 / 305 / 295 / 310 / 325
A / mean / C / mode
B / median / D / range
14The city of Miami’s average monthly temperatures are shown. What is the range of Miami’s average monthly temperatures?
Month / J / F / MTemp / 67.2 / 68.5 / 71.1
Month / A / M / J
Temp / 75.2 / 78.7 / 81.4
Month / J / A / S
Temp / 82.6 / 82.8 / 81.9
Month / O / N / D
Temp / 78.3 / 73.6 / 69.1
F / 15.6° / H / 75.9°
G / 16.3° / I / 80.1°
15The range of scores on one of Bethany’s math tests is 33, the median score is 81, and the highest score is 100. Find the lowest score.
A / 48 / C / 78B / 67 / D / 90.5
16The lowest score on one of Kwane’s math tests is 63, the median score is 78, and the highest score is 97. What is the range?
F / 15 / H / 34G / 19 / I / 79
17Dan Marino’s total passing yards for 1995–1999 are displayed. What measure of central tendency would make Marino appear to have the most passing yards over the given period of time?
Season / 1995 / 1996 / 1997 / 1998 / 1999Total Yards / 3,668 / 2,795 / 3,780 / 3,497 / 2,448
A / mean / C / mode
B / median / D / range
18The National League’s leading batting averages for 1996–2001 are displayed. What is the median batting average over the given time period?
Year / 1996 / 1997 / 1998 / 1999 / 2000 / 2001Average / .353 / .372 / .363 / .379 / .372 / .350
F / .365 / H / .372
G / .368 / I / .379
19The range of Stacey’s three math scores is 34, the median is 87, and the highest score is 98. What is the mean of the three scores?
A / 64 / C / 87B / 83 / D / 93
20The monthly normal mean temperatures for San Francisco are displayed. What is the mean temperature, to the nearest tenth, for the year in San Francisco?
Month / J / F / MTemp (ºF) / 48.7 / 52.2 / 53.3
Month / A / M / J
Temp (ºF) / 55.6 / 58.1 / 61.5
Month / J / A / S
Temp (ºF) / 62.7 / 63.7 / 64.5
Month / O / N / D
Temp (ºF) / 61. / 54.8 / 49.4
F / 56.9° / H / 57.1°
G / 57.0° / I / 57.2°
21The range of Gentry’s three math scores is 25, the median is 76, and the lowest score is 62. What is the mean of his three scores?
A / 62 / C / 74B / 63 / D / 75
22Joelene’s quiz scores for the first quarter are 26, 28, 31, 25, 19, 24, 25, and 30. What is the mean of her quiz scores?
F / 25 / H / 26G / 25.5 / I / 31
23The table shows the top 15 batting averages for the Florida Marlins baseball team for the 2002 season. Find the median batting average of these players.
Player / Batting Average / Player / Batting Average / Player / Batting AverageB. Banks / .321 / M. Mordecai / .286 / E. Owens / .270
K. Millar / .306 / P. Ozuna / .277 / A. Fox / .251
L. Castillo / .305 / M. Lowell / .276 / P. Wilson / .243
M. Redmond / .305 / J. Encarnacion / .271 / R. Castro / .238
M. Mordecai / .286 / D. Lee / .270 / A. Gonzalez / .225
A / .270 / C / .277
B / .276 / D / .321
24The graph at the right shows the number of on-line households in the world from 1995 to 2000. Which measure of central tendency would NOT apply to this data set?
F / mean / H / modeG / median / I / range
25The table represents total sales in billions of dollars for information technology for the years 1996–2001. Find the range of these data.
Year / Information Technology Sales (Billions $)1996 / 679
1997 / 717
1998 / 793
1999 / 874
2000 / 962
2001 / 1,050
A / $371 billion / C / $845.8 billion
B / $833.5 billion / D / $5,075 billion
26Mrs. Hinge constructed a histogram of the grades on a test. Which measure of central tendency would NOT be appropriate for these data?
F / mean / H / modeG / median / I / range
27The table shows the hours Rashid spent tutoring his best friend in algebra. Which number has the least value?
Hours Tutoring2 / 2 / 3 / 2.5 / 3.5 / 3.5
1.5 / 1 / 2.5 / 2.5 / 1.5 / 1
A / mean / C / mode
B / median / D / range
28Which number would you have to add to 80, 82, 79, 85, and 90 to have a mean of 84?
F / 84 / H / 88G / 85 / I / 92
29A fair coin is tossed three times. What is the probability that the coin will show heads all three times?
A / / C /B / / D /
30Tina wants to play the beanbag toss at a local fair. If she tosses the beanbag on a shaded square, she wins. If there is an equally likely opportunity to land on each square, what is the approximate probability that she wins rounded to the nearest hundredth?
F / 0.21 / H / 0.30G / 0.25 / I / 0.31
31There are 9 red marbles, 7 green marbles, 5 blue marbles, and 4 white marbles in a bag. A first marble is drawn at random and another is drawn without replacing the first one. To the nearest hundredth, what is the probability that both marbles are blue?
A / 0.02 / C / 0.20B / 0.03 / D / 0.23
32Between 1976 and 2001, there were 4,332 mortalities in the Florida manatee population. Of these deaths, 1,060 were caused by collisions with watercraft. What is the probability that a manatee killed during this period was killed by a watercraft?
F / about / H / aboutG / about / I / about
33Tiffany is running late for band practice and reaches into her drawer and grabs a pair of socks. She has 8 pairs of white socks, 7 pairs of black socks, 6 pairs of pink socks, and 2 pairs of green socks. If she can wear only white or black socks to practice, what is the probability, to the nearest hundredth, that she grabbed a wrong pair of socks?
A / 0.35 / C / 0.65B / 0.53 / D / 0.75
34A spinner is shown. The spinner is spun 2 times. if the spinner lands on region 2 the first time, what is the probability that the second spin will land on region 2?
F / / H /G / / I /
35A standard deck of 52 playing cards contains 26 red cards and 26 black cards. To the nearest hundredth, what is the probability that if you take two cards at random with replacement after the first draw, they will both be red?
A / 0.25 / C / 0.50B / 0.26 / D / 0.53
36A standard deck of 52 playing cards contains 26 red cards and 26 black cards. The deck contains 4 kings, 2 black ones and 2 red ones. What is the probability of choosing at random a red card or a king?
F / / H /G / / I /
37A survey of tenth-grade students in the school theater program is displayed. What is the probability that a student surveyed is a girl or participated in the theater program?
Gender / Participated / Did notBoys / 44 / 60
Girls / 49 / 58
A / / C /
B / / D /
38There are 3 red marbles, 11 green marbles, 12 blue marbles, and 5 white marbles. A marble is removed at random and replaced and then another marble is removed. What is the probability that both marbles are blue?
F / / H /G / / I /
39The sides of a number cube are labeled 1, 2, 3, 4, 5, and 6. What is the probability of rolling a 5 twice in a row?
A / / C /B / / D /
40Suppose you have 4 quarters, 5 pennies, 2 dimes, and 1 nickel in your pocket. If one coin falls out of your pocket at random, what is the probability it will be a penny?
F / / H /G / / I /
41The graph at right represents the days of the week on which students’ birthdays will occur this year. Which is the probability that a student chosen at random will have a birthday on a Tuesday?
A / / C /B / / D /
42Suppose there is a traffic light in front of the school. If the chance of your getting stopped by the red light on any day is 20%, what is the probability of getting stopped by the red light 3 days in a row?
F / 0.008 / H / 0.2G / 0.167 / I / 0.6
43Suppose a spinner is constructed with sections having angle measures as shown. Which is the probability of landing in the largest region?
A / / C /B / / D /
44The matrix at the right represents the on-time versus late record of planes A and B over time. What is the probability that plane A and plane B are both late?
F / / H /G / / I /
45A group of people were polled to find out how they feel about Ms. Jackson’s bid for mayor. The results are shown in the bar graph. What is the probability that someone chosen at random from the sample supported Ms. Jackson’s candidacy?
A / / C /B / / D /
Class / Ivan / Megha / Tony / Kris / Lina / Total by
Class
Freshman / 125 / 125 / 101 / 135 / 115 / 601
Sophomore / 38 / 232 / 121 / 45 / 108 / 544
Junior / 120 / 150 / 126 / 132 / 160 / 688
Senior / 133 / 145 / 102 / 102 / 103 / 585
Total by
Candidate / 416 / 652 / 450 / 414 / 486
46Five students ran for student body president at South High School. The results of the election are listed. What statement can be verified by the information in the table above?
F / All of the candidates received at least 20% of the total vote.G / Fewer sophomores voted because there are fewer sophomores at the school than any other class.
H / Megha won with less than 25% of the total vote.
I / Tony received about three times as many sophomore votes as Ivan.
47About what percentage of seniors of voted for Megha?
A / 6% / C / 25%B / 22% / D / 27%
48The graph represents people’s preferences in fruit. Assuming that the survey conducted was fair, how many people out of 500 would you expect to prefer oranges?
F / 38 / H / 120G / 76 / I / 190
Class / Mardi
Gras / Hollywood / Greco-
Romas / Disco
Days / Total by
Class
Freshman / 225 / 103 / 101 / 35 / 464
Sophomore / 338 / 232 / 121 / 45 / 736
Junior / 220 / 150 / 126 / 32 / 528
Total by Theme / 783 / 485 / 348 / 112
49The table represents a survey about potential homecoming themes for next year. The vote is taken in the spring, so the seniors do not vote. What can you conclude from the table?
A / Mardi Gras received more than 40% of the total vote.B / More sophomores voted for Greco-Roman than juniors.
C / Disco Days was the most popular theme.
D / Mardi Gras received of the total vote.
50The table below shows the pulse rate of a random number of students chosen from a school of 1,200 students. What is the best estimate of the number of students in the school with a pulse rate between 70 and 89?
Pulse Rate / 60-69 / 70-79 / 80-89 / 90-99 / 100-109Frequency / 15 / 12 / 3 / 2 / 1
F / 15 / H / 450
G / 113 / I / 545
51An airline kept track of the number of times their airplanes landed on time each day for a week. What fraction of the time would you predict an airplane from this airline to land on time?
Day / Sun / Mon / Tue / Wed / Thur / Fri / SatOn Time / 6 / 4 / 1 / 5 / 2 / 6 / 3
Late / 2 / 4 / 7 / 3 / 6 / 2 / 5
A / / C /
B / / D /
52A school surveyed its students about whether they favor or oppose the rule that allows students to leave school property during lunch hours. The results are shown in the table below. Which of the following interpretations best describes the data?
Grade / Favor Rule / Oppose9 / 240 / 50
10 / 300 / 20
11 / 100 / 300
12 / 80 / 320
F / At least of students surveyed favor the rule.
G / The number that favor the rule is about the same as the number that oppose the rule.
H / All grade levels have the same opinion about the rule.
I / More than of the total number surveyed oppose the rule.
53The table lists the eye color of all the students in the health class. What fraction of the students has brown eyes?
Eye Color / Girls / Boysblue / 2 / 4
brown / 8 / 3
green / 1 / 0
black / 3 / 6
A / / C /
B / / D /
54The table shows how many people picking oranges have a certain color eyes and hair. About what percent of people picking oranges have brown hair and blue eyes?
Black Hair / Brown Hair / TotalBrown Eyes / 24 / 18 / 42
Blue Eyes / 2 / 14 / 16
Total / 26 / 32 / 58
F / 24% / H / 45%
G / 28% / I / 55%
55The bar graph compares the number of students in extracurricular activities last year to the number this year. At which grade level was there the greatest change in the number of students in extracurricular activities?
A / 9th grade / C / 11th gradeB / 10th grade / D / 12th grade
Short Answer
56
/ The graph shows the high and low temperatures for Tallahassee for five days. What number gives the percentage of days in which the high and low temperatures are MORE THAN 15° apart?/
57
/ The table shows the numbers of weeks of vacation from her job Ms. Alvarez was able to take over a ten-year period.Year / 1991 / 1992 / 1993 / 1994 / 1995
Number
of Weeks / 2 / 3 / 4 / 5 / 9
Year / 1996 / 1997 / 1998 / 1999 / 2000
Number
of Weeks / 2 / 0 / 2 / 4 / 6
Part AMake a scatter plot of the data. Use the numbers 1 through 10 on the horizontal axis to represent the years.
Part BMs. Alvarez changed jobs in 1996. How is this reflected in the data?
Part CUse the graph to make a prediction as to how many weeks of vacation Ms. Alvarez had in 2001.
58
/ The number of milligrams of cholesterol in various meat products is shown in the stem-and-leaf plot at the right. What fraction of these products have cholesterol levels less than 60 milligrams? /Milligrams of Cholesterol
in Meat Products
Stem / Leaf
5 / 2 / 4 / 4 / 4 / 5 / 5
6 / 2 / 3 / 3 / 3 / 7 / 7 / 9
7 / 6 / 6
8 / 1 / 1 / 4
59
/ Mrs. Perry constructed a histogram of the grades on a test. What percent of students scored below 61?/
60
/ The box-and-whisker plot below shows the heights of the school’s basketball team. What is the median height of the team in inches?/
61
/ The number of milligrams of cholesterol in one serving of various meat products is shown in the stem-and-leaf plot.Milligrams of Cholesterol
in Meat Products
Stem / Leaf
5 / 2 4 4 4 5 5
6 / 2 3 3 3 7 7 9
7 / 6 6
8 / 1 1 4
Part AExplain in words how to determine the quartiles for making a box-and-whisker plot.
Part BFind the 1st, 2nd, and 3rd quartiles for the data in the stem-and-leaf plot.
Part CFind the range of the data.
Part DDraw a box-and-whisker plot for the data. Label the quartiles.
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/ The 5 starters for one of the Orlando Magic’s basketball games have the following heights: 6 feet 8 inches, 6 feet 8 inches, 6 feet 8 inches, 6 feet 1 inch, and 6 feet 9 inches. What is the mean height, in inches, of the Magic’s starters? /63
/ The number of Daytona races won by a stock car driver for the years 1992-2001 are shown. What is the mode of the data? /Year / 1992 / 1993 / 1994 / 1995 / 1996
Races / 6 / 8 / 7 / 7 / 7
Year / 1997 / 1998 / 1999 / 2000 / 2001
Races / 7 / 8 / 5 / 3 / 4
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/ Jimmy’s test scores were recorded in his teacher’s grade book as shown. What is the mode of his test scores? /Jimmy’s Test Scores
80 / 90 / 85 / 90 / 45 / 40
77 / 85 / 79 / 60 / 78 / 85
65
/ The table below shows the heights of the members of the girls basketball team. What is the median height of the team, in inches, to the nearest tenth? /Heights of Girls Basketball Team (inches)
62 / 66 / 63 / 64 / 66 / 68
60 / 59 / 69 / 70 / 68 / 65
66
/ The table below shows the scores of 12 students on a standardized test. What is the median of the top fourth of the data? /Standardized Test Scores
16 / 32 / 24 / 24 / 25 / 16
29 / 14 / 30 / 31 / 28 / 28
67
/ A box contains the letters of the words TALLAHASSEE written on cards, one letter per card. If a letter is drawn at random, what is the probability that the letter is a vowel? /68
/ Ms. Benitez uses two spinners to determine which students will be selected to answer questions in her classroom. Sana is the third person in team number 7. What is the probability that she will be selected by the spinners?/
69
/ An ice cream store sells one-dip ice cream cones in either sugar or plain cones. There is a choice of three flavors of ice cream— vanilla, chocolate, or strawberry—and two types of toppings— fudge syrup or sprinkles. What is the probability a customer chooses a one-dip chocolate sugar cone with fudge syrup? Express your answer as a fraction. /70
/ A family has three children. The tree diagram shows the possible combinations of genders of the three children. Find the probability that at least two are girls. Express your answer as a fraction./
71