Statistics Review Name: Date - Our Lady of Wisdom …€¦ · · 2015-08-06Statistics Review...

Statistics Review

Name: Date:

1. A set of data consists of 3, 3, 6, 4, and 9. Themedian for these data is

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

2. Pat’s grades on Course I tests were 90, 75, 98, 82,90, and 87. The mode of her grades is

A. 90 B. 89 C. 87 D. 82

3. What is the median of the following group ofnumbers?

5, 6, 6, 10, 10, 17

A. 6 B. 8 C. 9 D. 10

4. In Syracuse, high temperatures for six days wererecorded at 90◦, 84◦, 84◦, 78◦, 73◦, and 71◦.What is the median temperature for these days?

A. 84◦ B. 81◦ C. 80◦ D. 78◦

5. The set of scores on a mathematics test is 72, 80,80, 82, 87, 89, and 91. The mean score is

A. 84 B. 83 C. 82 D. 80

6. Express, in terms of x, the mean of (4x − 6),(2x + 3), and (3x + 3).

7. Thirteen students took a math test. The number oferrors was 3, 7, 4, 0, 4, 1, 5, 4, 7, 3, 4, 5, and 7.What is the mode of this distribution?

8. Find, in terms of x, the mean of 3x − 5, 5x − 6,and 4x + 11.

9. The accompanying histogram shows the distributionof the number of children in the families of thestudents in a ninth-grade class.

The mode of the set of data in the histogram is

A. 5 B. 2

C. 3 D. 7

10. What is the mean (average) of 4y + 3 and 2y − 1?

A. 3y + 1 B. 3y + 2 C. 3y + 4 D. y + 1

11. What is the range of the following data? 72, 65,97, 56, 85

A. 13 B. 41 C. 72 D. 75

12. Which statement is true about the data set 3, 4, 5,6, 7, 7, 10?

A. mean = mode B. mean > mode

C. mean = median D. mean < median

13. The heights, in inches, of 10 high school varsitybasketball players are 78, 79, 79, 72, 75, 71, 74,74, 83, and 71. Find the interquartile range of thisdata set.

14. The mean of four numbers is 10. If three ofthe numbers are 7, 8, and 11, what is the fourthnumber?

15. The mean of 10, 12, 14, and x is 13. Find thevalue of x.

16. Given the set of numbers {30, 42, x, 50, 54, 80}. Ifthe median is 49, what is the value of x ?

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17. When Paula went bowling, she scored 118 and 138in her first two games. What must she score in athird game to have an average score of 132?

18. Three numbers are represented by 2x, 3x, and 4x.If the mean of these three numbers is 15, what isthe value of x ?

19. For the group data, 3, 3, 5, 8, 18, which is true?

A. median > mean B. mode > mean

C. mean > median D. median = mode

20. The mean of four numbers is 5. Find the sum ofthe four numbers.

21. If a group of data consists of the numbers 2, 2, 5,6, and 15, which statement is true?

A. median > mean B. mean = mode

C. mode < median D. median = mode

22. Which statement is true about the following set ofdata?

85, 80, 90, 85, 85

A. mean > mode B. mean > median

C. median > mode D. mean = median

23. For which group of data does the mean equal themode?

A. 4, 4, 5, 6 B. 4, 5, 6, 6

C. 4, 5, 5, 6 D. 4, 5, 5, 8

24. The scores on a test were 70, 75, 75, 85, and 90.Which statements about the scores is true?

A. The mean, median, and mode have the samevalue.

B. Only the mean and the median have the samevalue.

C. Only the mode and the median have the samevalue.

D. The mean, median, and mode have differentvalues.

25. In a basketball game, the number of points scoredby five members of the team were 28, 20, 16, 15,and 8. How many players scored fewer than themean number of points?

26. Which inequality is true for the set of data 9, 12,6, 7, 8, 9, 3?

A. mean < median < mode

B. median < mean < mode

C. mode < mean < median

D. mean < mode < median

27. The chart shows how the cost of a specificnotebook varied over a 5-week period.

Week Cost

1 $5.00

2 $5.25

3 $3.00

4 $3.50

5 $4.75

Based on the chart, which statement is true aboutthe cost of this notebook over this period?

A. The mode was $3.00.

B. The mean was $4.30.

C. The median was $4.50.

D. The median was $3.00.

page 2 Statistics Review

28. Mr. Taylor raised all his students’ scores on arecent test by five points. How were the mean andthe range of the scores affected?

A. The mean increased by five and the rangeincreased by five.

B. The mean increased by five and the rangeremained the same.

C. The mean remained the same and the rangeincreased by five.

D. The mean remained the same and the rangeremained the same.

29. The mean (average) weight of three dogs is38 pounds. One of the dogs, Sparky, weighs46 pounds. The other two dogs, Eddie and Sandy,have the same weight. Find Eddie’s weight.

30. What was the median high temperature inMiddletown during the 7-day period shown in theaccompanying table?

Daily High Temperaturein Middletown

Day Temperature(F◦ )

Sunday 68

Monday 73

Tuesday 73

Wednesday 75

Thursday 69

Friday 67

Saturday 63

A. 69 B. 70 C. 73 D. 75

31. Judy needs a mean (average) score of 86 on fourtests to earn a midterm grade of B. If the mean ofher scores for the first three tests was 83, what isthe lowest score on a 100-point scale that she canreceive on the fourth test to have a midterm gradeof B?

32. For five algebra examinations, Maria has anaverage of 88. What must she score on the sixthtest to bring her average up to exactly 90?

A. 92 B. 94 C. 98 D. 100

33. During each marking period, there are five tests.If Vanita needs a 65 average to pass this markingperiod and her first four grades are 60, 72, 55,and 80, what is the lowest score she can earn onthe last test to have a passing average?

A. 58 B. 65 C. 80 D. 100

34. On the first six tests in her social studies course,Jerelyn’s scores were 92, 78, 86, 92, 95, and 91.Determine the median and the mode of her scores.If Jerelyn took a seventh test and raised the meanof her scores exactly 1 point, what was her scoreon the seventh test?

35. For a set of scores, 80 is the score for the 75thpercentile. Which statement is true?

A. Eighty scores are at or below 75.

B. Seventy-five scores are at or below 80.

C. Seventy-five percent of the scores are at orbelow 80.

D. Eighty percent of the scores are at orbelow 75.

36. On a quiz taken by 24 students, the 75th percentilewas 84. How many students scored higherthan 84?

A. 6 B. 12 C. 18 D. 21

37. Which measure is always the same as the 50thpercentile?

A. mean B. median

C. mode D. lower quartile

38. On a math test, 5 out of 20 students scored 70 orbelow. A score of 70 on this test would be the

A. lower quartile B. median

C. upper quartile D. 70th percentile


39. On a mathematics test, Bob scored at the 80thpercentile. Which statement is true?

A. Bob scored 80% on his test.

B. Bob answered 80 questions correctly.

C. Eighty percent of the students who took thetest had the same score as Bob did.

D. Eighty percent of the students who took thetest had a score equal to or less than Bob’sscore.

40. Which measure is always the same as the25th percentile?

A. mean B. median

C. upper quartile D. lower quartile

41. On a standardized test, the distribution of scoresis normal, the mean of the scores is 75, and thestandard deviation is 5.8. If a student scored 83,the student’s score ranks

A. below the 75th percentile

B. between the 75th percentile and the 84thpercentile

C. between the 84th percentile and the 97thpercentile

D. above the 97th percentile

42. The freshman class held a canned food drive for12 weeks. The results are summarized in the tablebelow.

Canned Food Drive Results

Week 1 2 3 4 5 6 7 8 9 10 11 12

Numberof Cans

20 35 32 45 58 46 28 23 31 79 65 62

Which number represents the second quartile ofthe number of cans of food collected?

A. 29.5 B. 30.5 C. 40 D. 60

43. In the accompanying diagram, the shaded arearepresents approximately 95% of the scores on astandardized test. If these scores ranged from 78to 92, which could be the standard deviation?

A. 3.5 B. 7.0

C. 14.0 D. 20.0

44. The term “snowstorms of note” applies to allsnowfalls over 6 inches. The snowfall amounts forsnowstorms of note in Utica, New York, over afour-year period are as follows: 7.1, 9.2, 8.0, 6.1,14.4, 8.5, 6.1, 6.8, 7.7, 21.5, 6.7, 9.0, 8.4, 7.0, 11.5,14.1, 9.5, 8.6

What are the mean and population standarddeviation for these data, to the nearest hundredth?

A. mean = 9.46; standard deviation = 3.74

B. mean = 9.46; standard deviation = 3.85

C. mean = 9.45; standard deviation = 3.74

D. mean = 9.45; standard deviation = 3.85

45. On a standardized test with a normal distribution,the mean is 20 and the standard deviation is 2.6.In which interval would the greatest number ofscores occur?

A. 12.2–14.8 B. 17.4–20.0

C. 22.6–25.2 D. 27.8–30.4

46. On a standardized test with normal distribution,the mean is 75 and the standard deviation is 3.Within which range should approximately 95% ofthe score lie?

A. 72–78 B. 69–81 C. 66–84 D. 63–87

47. In a standardized test with a normal distributionof scores, the mean was 75 and the standarddeviation was 5.2. Which score could be expectedto occur less than 5% of the game?

A. 95 B. 85 C. 75 D. 65


48. On a standardized test with normal distribution ofscores, the mean score is 82 and the standarddeviation is 6. Which interval contains 95% ofthe scores?

A. 70–82 B. 70–94 C. 76–88 D. 76–94

49. The heights of the girls in the eleventh grade arenormally distributed with a mean of 66 inchesand a standard deviation of 2.5 inches. In whichinterval do approximately 95% of the heights fall?

A. 61–66 inches B. 61–71 inches

C. 63.5–68.5 inches D. 66–71 inches

50. On a standardized test, Cathy had a score of 74,which was exactly 1 standard deviation below themean. If the standard deviation for the test is 6,what is the mean score for the test?

A. 68 B. 71 C. 77 D. 80

51. On a standardized test with a standard deviationof 2, a score of 26 will occur fewer than 5 timesout of 100. Which score could be the mean forthis test?

A. 20 B. 23 C. 24 D. 25

52. On a standardized test, Phyllis scored 84, exactlyone standard deviation above the mean. If thestandard deviation for the test is 6, what is themean score for the test?

A. 72 B. 78 C. 84 D. 90

53. Jean’s scores on five mathematics tests were 98,97, 99, 98, and 96. Her scores on five Englishtests were 78, 84, 95, 72, and 79. Which statementis true about the standard deviations for the scores?

A. The standard deviation for the English scoresis greater than the standard deviation for themath scores.

B. The standard deviation for the math scores isgreater than the standard deviation for theEnglish scores.

C. The standard deviations for both sets of scoresare equal.

D. More information is needed to determine therelationship between the standard deviations.

54. Beth’s scores on the six Earth science tests shetook this semester are 100, 95, 55, 85, 75, and100. For this population, how many scores arewithin one standard deviation of the mean?

55. Which method of collecting data would most likelyresult in an unbiased random sample?

A. selecting every third teenager leaving a movietheater to answer a survey about entertainment

B. placing a survey in a local newspaper todetermine how people voted in the 2004presidential election

C. selecting students by the last digit of theirschool ID number to participate in a surveyabout cafeteria food

D. surveying honor students taking Mathematics Bto determine the average amount of timestudents in a school spend doing homeworkeach night


56. A school newspaper will survey students about thequality of the school’s lunch program. Whichmethod will create the least biased results?

A. Twenty-five vegetarians are randomly surveyed.

B. Twenty-five students are randomly chosenfrom each grade level.

C. Students who dislike the school’s lunchprogram are chosen to complete the survey.

D. A booth is set up in the cafeteria for thestudents to voluntarily complete the survey.

57. The accompanying diagram is an example ofwhich type of graph?

A. bar graph

B. stem-and-leaf plot

C. histogram

D. box-and-whisker plot

58. The accompanying diagram shows abox-and-whisker plot of student test scores on lastyear’s Mathematics A midterm examination. Whatis the median score?

A. 62 B. 71 C. 81 D. 92

59. The accompanying box-and-whisker plot representsthe scores earned on a science test.

What is the median score?

A. 70 B. 75 C. 77 D. 85

60. The accompanying box-and-whisker plots can beused to compare the annual incomes of threeprofessions.

Based on the box-and-whisker plots, whichstatement is true?

A. The median income for nuclear engineers isgreater than the income of all musicians.

B. The median income for police officers andmusicians is the same.

C. All nuclear engineers earn more than allpolice officers.

D. A musician will eventually earn more than apolice officer.

61. What is the value of the third quartile shown onthe box-and-whisker plot below?

A. 6 B. 8.5 C. 10 D. 12


62. A movie theater recorded the number of ticketssold daily for a popular movie during the monthof June. The box-and-whisker plot shown belowrepresents the data for the number of tickets sold,in hundreds.

Which conclusion can be made using this plot?

A. The second quartile is 600.

B. The mean of the attendance is 400.

C. The range of the attendance is 300 to 600.

D. Twenty-five percent of the attendance isbetween 300 and 400.

63. The box-and-whisker plot below representsstudents’ scores on a recent English test.

What is the value of the upper quartile?

A. 68 B. 76 C. 84 D. 94

64. The test scores from Mrs. Gray’s math class areshown below.

72, 73, 66, 71, 82, 85, 95, 85, 86, 89, 91, 92

Construct a box-and-whisker plot to display thesedata.

65. The box-and-whisker plot below represents themath test scores of 20 students.

What percentage of the test scores are lessthan 72?

A. 25 B. 50 C. 75 D. 100

66. The box-and-whisker plot below represents theresults of test scores in a math class.

What do the scores 65, 85, and 100 represent?

A. Q1, median, Q3

B. Q1, Q3, maximum

C. median, Q1, maximum

D. minimum, median, maximum

67. The box-and-whisker plot shown below representsthe number of magazine subscriptions sold bymembers of a club.

Which statistical measures do points B, D, and Erepresent, respectively?

A. minimum, median, maximum

B. first quartile, median, third quartile

C. first quartile, third quartile, maximum

D. median, third quartile, maximum


68. The relationship of a woman’s shoe size andlength of a woman’s foot, in inches, is given inthe accompanying table.

Women’s Shoe Size 5 6 7 8

Foot Length (in) 9.00 9.25 9.50 9.75

The linear correlation coefficient for thisrelationship is

A. 1 B. −1 C. 0.5 D. 0

69. A linear regression equation of best fit betweena student’s attendance and the degree of successin school is h = 0.5x + 68.5. The correlationcoefficient, r, for these data would be

A. 0 < r < 1 B. −1 < r < 0

C. r = 0 D. r = −1

70. Which graph represents data used in a linearregression that produces a correlation coefficientclosest to −1 ?

A.

B.

C.

D.

71. Which scatter diagram shows the strongest positivecorrelation?

A.

B.

C.

D.

72. What could be the approximate value of thecorrelation coefficient for the accompanying scatterplot?

A. −0.85 B. −0.16 C. 0.21 D. 0.90


73. The accompanying table shows the percent of theadult population that married before age 25 inseveral different years. Using the year as theindependent variable, find the linear regressionequation. Round the regression coefficients to thenearest hundredth.

Using the equation found above, estimate thepercent of the adult population in the year 2009that will marry before age 25, and round to thenearest tenth of a percent.

Year (x) Percent (y)

1971 42.4

1976 37.4

1980 37.1

1984 34.1

1989 32.1

1993 28.8

1997 25.7

2000 25.5

74. In the physics lab, Thelma determined the kineticenergy, KE, of an object at various velocities, V ,and found the linear correlation coefficient betweenKE and V to be +0.8. Which graph shows thisrelationship?

A.

B.

C.

D.


75. There is a negative correlation between the numberof hours a student watches television and his orher social studies test score. Which scatter plotbelow displays this correlation?

A.

B.

C.

D.

76. Which equation most closely represents the line ofbest fit for the scatter plot below?

A. y = x B. y = 23x + 1

C. y = 32x + 4 D. y = 3

2x + 1

77. The number of hours spent on math homeworkeach week and the final exam grades for twelvestudents in Mr. Dylan’s algebra class are plottedbelow.

Based on a line of best fit, which exam grade isthe best prediction for a student who spends about4 hours on math homework each week?

A. 62 B. 72 C. 82 D. 92


78. Which scatter plot shows the relationship betweenx and y if x represents a student score on a testand y represents the number of incorrect answersa student received on the same test?

A.

B.

C.

D.

79. The school store did a study comparing the costof a sweatshirt with the number of sweatshirtssold. The price was changed several times and thenumbers of sweatshirts sold were recorded. Thedata are shown in the table below.

Cost ofSweatshirt

$10 $25 $15 $20 $5

Number Sold 9 6 15 11 14

Which scatter plot best represents the data?

A.

B.

C.

D.


80. The maximum height and speed of various roller coasters in North America are shown in the table below.

Maximum Speed,in mph, (x)

45 50 54 60 65 70

Maximum Height,in feet, (y)

63 80 105 118 141 107

Which graph represents a correct scatter plot of the data?

A. B.

C. D.


81. The scatter plot below represents the relationshipbetween the number of peanuts a student eats andthe student’s bowling score.

Which conclusion about the scatter plot is valid?

A. There is almost no relationship between eatingpeanuts and bowling score.

B. Students who eat more peanuts have higherbowling scores.

C. Students who eat more peanuts have lowerbowling scores.

D. No bowlers eat peanuts.

82. The scatter plot below shows the profit, by month,for a new company for the first year of operation.Kate drew a line of best fit, as shown in thediagram.

Using this line, what is the best estimate for profitin the 18th month?

A. $35,000 B. $37,750

C. $42,500 D. $45,000

83. A cup of soup is left on a countertop to cool.The table below gives the temperatures, in degreesFahrenheit, of the soup recorded over a 10-minuteperiod.

Time in Minutes (x) 0 2 4 6 8 10

Temperature in ◦F (y) 180.2 165.8 146.3 135.4 127.7 110.5

Write an exponential regression equation for thedata, rounding all values to the nearest thousandth.

84. The relationship between t, a student’s test scores,and d, the student’s success in college, is modeledby the equation d = 0.48t + 75.2. Based on thislinear regression model, the correlation coefficientcould be

A. between −1 and 0 B. between 0 and 1

C. equal to −1 D. equal to 0

85. Which situation describes a negative correlation?

A. the amount of gas left in a car’s tank and theamount of gas used from it

B. the number of gallons of gas purchased andthe amount paid for the gas

C. the size of a car’s gas tank and the numberof gallons it holds

D. the number of miles driven and the amountof gas used

86. The table below shows the concentration of ozonein Earth’s atmosphere at different altitudes. Writethe exponential regression equation that modelsthese data, rounding all values to the nearestthousandth.

Concentration of Ozone

Altitude (x) Ozone Units (y)

0 0.7

5 0.6

10 1.1

15 3.0

20 4.9


Problem-Attic format version 4.4.220c_ 2011–2014 EducAide Software

Licensed for use by David PowderTerms of Use at www.problem-attic.com

Statistics Review 05/05/2015

1.Answer: D

2.Answer: A

3.Answer: B

4.Answer: B

5.Answer: B

6.Answer: 3x

7.Answer: 4

8.Answer: 4x

9.Answer: B

10.Answer: A

11.Answer: B

12.Answer: C

13.Answer: 7, and appropriate work is shown.

14.Answer: 14

15.Answer: 16

16.Answer: 48

17.Answer: 140

18.Answer: 5

19.Answer: C

20.Answer: 20

21.Answer: C

22.Answer: D

23.Answer: C

24.Answer: C

25.Answer: 3

26.Answer: A

27.Answer: B

28.Answer: B

29.Answer: 34

30.Answer: A

31.Answer: 95

32.Answer: D

33.Answer: A

34.Answer: Median= 91.5, mode= 92, and seventh

test score= 96.

35.Answer: C

36.Answer: A

37.Answer: B

38.Answer: A

39.Answer: D

40.Answer: D

Teacher’s Key Page 2

41.Answer: C

42.Answer: C

43.Answer: A

44.Answer: A

45.Answer: B

46.Answer: B

47.Answer: A

48.Answer: B

49.Answer: B

50.Answer: D

51.Answer: A

52.Answer: B

53.Answer: A

54.Answer: 5

55.Answer: C

56.Answer: B

57.Answer: D

58.Answer: C

59.Answer: B

60.Answer: B

61.Answer: C

62.Answer: D

63.Answer: C

64.Answer: minimum=66, first quartile=72.5,

median=85, third quartile=90,maximum=95.

65.Answer: A

66.Answer: B

67.Answer: C

68.Answer: A

69.Answer: A

70.Answer: D

71.Answer: A

72.Answer: D

73.Answer: y = −0.58x + 1185.09 and 19.9

74.Answer: B

75.Answer: D

76.Answer: D

77.Answer: B

78.Answer: B

79.Answer: C

80.Answer: B

81.Answer: A

82.Answer: C

83.Answer: y = 180.377(0.954)x

84.Answer: B

85.Answer: A

86.Answer: y = 0.488(1.116)x

Statistics Review Name: Date - Our Lady of Wisdom …€¦ · · 2015-08-06Statistics Review...

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