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Statistics Review
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1.
A set of data consists of 3, 3, 6, 4, and 9. The
median for these data is
A.
2.
B.
5
C.
3
D. 4
90
B.
89
C.
87
6
B.
8
10.
C.
9
D. 10
B.
C.
3
D. 7
2
84
B.
81
C.
80
11.
12.
84
B.
83
C.
82
D. 80
6.
Express, in terms of x, the mean of (4x
(2x + 3), and (3x + 3).
7.
Thirteen students took a math test. The number of
errors was 3, 7, 4, 0, 4, 1, 5, 4, 7, 3, 4, 5, and 7.
What is the mode of this distribution?
Find, in terms of x, the mean of 3x
and 4x + 11.
6),
5, 5x
B.
3y + 2
C.
3y + 4
D. y + 1
13
B.
41
C.
72
D. 75
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 varsity
basketball players are 78, 79, 79, 72, 75, 71, 74,
74, 83, and 71. Find the interquartile range of this
data set.
14.
The mean of four numbers is 10. If three of
the numbers are 7, 8, and 11, what is the fourth
number?
15.
The mean of 10, 12, 14, and x is 13. Find the
value of x.
16.
Given the set of numbers f30; 42; x; 50; 54; 80g. If
the median is 49, what is the value of x ?
6,
page 1
3y + 1
1?
What is the range of the following data? 72, 65,
97, 56, 85
A.
D. 78
The set of scores on a mathematics test is 72, 80,
80, 82, 87, 89, and 91. The mean score is
A.
What is the mean (average) of 4y + 3 and 2y
A.
In Syracuse, high temperatures for six days were
recorded at 90 , 84 , 84 , 78 , 73 , and 71 .
What is the median temperature for these days?
A.
8.
5
What is the median of the following group of
numbers?
A.
5.
A.
D. 82
5, 6, 6, 10, 10, 17
4.
The accompanying histogram shows the distribution
of the number of children in the families of the
students in a ninth-grade class.
The mode of the set of data in the histogram is
Pat's grades on Course I tests were 90, 75, 98, 82,
90, and 87. The mode of her grades is
A.
3.
6
9.
17.
When Paula went bowling, she scored 118 and 138
in her rst two games. What must she score in a
third 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 is
the value of x ?
19.
For the group data, 3, 3, 5, 8, 18, which is true?
A.
median > mean
B.
C.
mean > median
D. median = mode
The mean of four numbers is 5. Find the sum of
the 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.
C.
mode < median
D. median = mode
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 same
value.
B.
Only the mean and the median have the same
value.
C.
Only the mode and the median have the same
value.
D. The mean, median, and mode have di erent
values.
mode > mean
20.
22.
24.
25.
In a basketball game, the number of points scored
by ve members of the team were 28, 20, 16, 15,
and 8. How many players scored fewer than the
mean number of points?
26.
Which inequality is true for the set of data 9, 12,
6, 7, 8, 9, 3?
mean = mode
Which statement is true about the following set of
data?
A.
mean < median < mode
B.
median < mean < mode
C.
mode < mean < median
D. mean < mode < median
85, 80, 90, 85, 85
23.
A.
mean > mode
B.
C.
median > mode
D. mean = median
27.
mean > median
The chart shows how the cost of a speci c
notebook varied over a 5-week period.
For which group of data does the mean equal the
mode?
A.
4, 4, 5, 6
B.
4, 5, 6, 6
C.
4, 5, 5, 6
D. 4, 5, 5, 8
Week
Cost
1
2
3
4
5
$5.00
$5.25
$3.00
$3.50
$4.75
Based on the chart, which statement is true about
the 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 a
recent test by ve points. How were the mean and
the range of the scores a ected?
A.
The mean increased by
increased by ve.
ve and the range
B.
The mean increased by
remained the same.
ve and the range
C.
The mean remained the same and the range
increased by ve.
33.
A.
30.
The mean (average) weight of three dogs is
38 pounds. One of the dogs, Sparky, weighs
46 pounds. The other two dogs, Eddie and Sandy,
have the same weight. Find Eddie's weight.
A.
31.
32.
Tuesday
73
Wednesday
75
Thursday
69
Friday
67
Saturday
63
69
B.
70
C.
37.
D. 75
Judy needs a mean (average) score of 86 on four
tests to earn a midterm grade of B. If the mean of
her scores for the rst three tests was 83, what is
the lowest score on a 100-point scale that she can
receive on the fourth test to have a midterm grade
of B?
38.
For ve algebra examinations, Maria has an
average of 88. What must she score on the sixth
test to bring her average up to exactly 90?
A.
92
B.
94
C.
98
D. 100
A.
Eighty scores are at or below 75.
B.
Seventy- ve scores are at or below 80.
C.
Seventy- ve percent of the scores are at or
below 80.
On a quiz taken by 24 students, the 75th percentile
was 84. How many students scored higher
than 84?
A.
73
80
For a set of scores, 80 is the score for the 75th
percentile. Which statement is true?
36.
68
73
C.
D. Eighty percent of the scores are at or
below 75.
Temperature
(F )
Monday
65
35.
Daily High Temperature
in Middletown
Sunday
B.
On the rst 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 mean
of her scores exactly 1 point, what was her score
on the seventh test?
What was the median high temperature in
Middletown during the 7-day period shown in the
accompanying table?
Day
58
34.
D. The mean remained the same and the range
remained the same.
29.
During each marking period, there are ve tests.
If Vanita needs a 65 average to pass this marking
period and her rst four grades are 60, 72, 55,
and 80, what is the lowest score she can earn on
the last test to have a passing average?
6
B.
12
C.
18
D. 21
Which measure is always the same as the 50th
percentile?
A.
mean
B.
median
C.
mode
D. lower quartile
On a math test, 5 out of 20 students scored 70 or
below. A score of 70 on this test would be the
A.
lower quartile
B.
median
C.
upper quartile
D. 70th percentile
D. 100
page 3
Statistics Review
39.
On a mathematics test, Bob scored at the 80th
percentile. Which statement is true?
43.
In the accompanying diagram, the shaded area
represents approximately 95% of the scores on a
standardized test. If these scores ranged from 78
to 92, which could be the standard deviation?
A.
Bob scored 80% on his test.
B.
Bob answered 80 questions correctly.
A.
3.5
B.
C.
Eighty percent of the students who took the
test had the same score as Bob did.
C.
14.0
D. 20.0
7.0
D. Eighty percent of the students who took the
test had a score equal to or less than Bob's
score.
40.
41.
44. The term “snowstorms of note” applies to all
snowfalls over 6 inches. The snowfall amounts for
snowstorms of note in Utica, New York, over a
four-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
Which measure is always the same as the
25th percentile?
A.
mean
B.
median
C.
upper quartile
D. lower quartile
What are the mean and population standard
deviation for these data, to the nearest hundredth?
On a standardized test, the distribution of scores
is normal, the mean of the scores is 75, and the
standard 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 84th
percentile
C.
between the 84th percentile and the 97th
percentile
45.
The freshman class held a canned food drive for
12 weeks. The results are summarized in the table
below.
46.
Canned Food Drive Results
Week
1
Number 20
of Cans
2
3
4
35 32 45
5
6
7
8
58 46 28 23
9
10
11
12
31 79 65 62
Which number represents the second quartile of
the number of cans of food collected?
A.
29.5
B.
30.5
C.
40
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
D. above the 97th percentile
42.
A.
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 of
scores occur?
A.
12.2–14.8
B.
C.
22.6–25.2
D. 27.8–30.4
On a standardized test with normal distribution,
the mean is 75 and the standard deviation is 3.
Within which range should approximately 95% of
the score lie?
A.
D. 60
47.
72–78
B.
69–81
C.
66–84
D. 63–87
In a standardized test with a normal distribution
of scores, the mean was 75 and the standard
deviation was 5.2. Which score could be expected
to occur less than 5% of the game?
A.
page 4
17.4–20.0
95
B.
85
C.
75
D. 65
Statistics Review
48.
On a standardized test with normal distribution of
scores, the mean score is 82 and the standard
deviation is 6. Which interval contains 95% of
the scores?
A.
49.
50.
70–94
C.
76–88
D. 76–94
A.
61–66 inches
B.
C.
63.5–68.5 inches
D. 66–71 inches
61–71 inches
68
B.
71
C.
77
D. 80
On a standardized test with a standard deviation
of 2, a score of 26 will occur fewer than 5 times
out of 100. Which score could be the mean for
this test?
20
B.
23
C.
24
72
B.
78
C.
84
A.
The standard deviation for the English scores
is greater than the standard deviation for the
math scores.
B.
The standard deviation for the math scores is
greater than the standard deviation for the
English scores.
C.
The standard deviations for both sets of scores
are equal.
54.
Beth's scores on the six Earth science tests she
took this semester are 100, 95, 55, 85, 75, and
100. For this population, how many scores are
within one standard deviation of the mean?
55.
Which method of collecting data would most likely
result in an unbiased random sample?
A.
selecting every third teenager leaving a movie
theater to answer a survey about entertainment
B.
placing a survey in a local newspaper to
determine how people voted in the 2004
presidential election
C.
selecting students by the last digit of their
school ID number to participate in a survey
about cafeteria food
D. 25
On a standardized test, Phyllis scored 84, exactly
one standard deviation above the mean. If the
standard deviation for the test is 6, what is the
mean score for the test?
A.
Jean's scores on ve mathematics tests were 98,
97, 99, 98, and 96. Her scores on ve English
tests were 78, 84, 95, 72, and 79. Which statement
is true about the standard deviations for the scores?
D. More information is needed to determine the
relationship between the standard deviations.
On a standardized test, Cathy had a score of 74,
which was exactly 1 standard deviation below the
mean. If the standard deviation for the test is 6,
what is the mean score for the test?
A.
52.
B.
The heights of the girls in the eleventh grade are
normally distributed with a mean of 66 inches
and a standard deviation of 2.5 inches. In which
interval do approximately 95% of the heights fall?
A.
51.
70–82
53.
D. surveying honor students taking Mathematics B
to determine the average amount of time
students in a school spend doing homework
each night
D. 90
page 5
Statistics Review
56.
A school newspaper will survey students about the
quality of the school's lunch program. Which
method will create the least biased results?
A.
Twenty- ve vegetarians are randomly surveyed.
B.
Twenty- ve students are randomly chosen
from each grade level.
C.
Students who dislike the school's lunch
program are chosen to complete the survey.
59.
What is the median score?
A.
D. A booth is set up in the cafeteria for the
students to voluntarily complete the survey.
57.
60.
The accompanying diagram is an example of
which type of graph?
A.
bar graph
B.
stem-and-leaf plot
C.
histogram
70
B.
75
C.
77
D. 85
The accompanying box-and-whisker plots can be
used to compare the annual incomes of three
professions.
Based on the box-and-whisker plots, which
statement is true?
D. box-and-whisker plot
58.
The accompanying box-and-whisker plot represents
the scores earned on a science test.
The accompanying diagram shows a
box-and-whisker plot of student test scores on last
year's Mathematics A midterm examination. What
is the median score?
A.
The median income for nuclear engineers is
greater than the income of all musicians.
B.
The median income for police o cers and
musicians is the same.
C.
All nuclear engineers earn more than all
police o cers.
D. A musician will eventually earn more than a
police o cer.
61.
A.
62
B.
71
C.
81
D. 92
What is the value of the third quartile shown on
the box-and-whisker plot below?
A.
page 6
6
B.
8.5
C.
10
D. 12
Statistics Review
62.
A movie theater recorded the number of tickets
sold daily for a popular movie during the month
of June. The box-and-whisker plot shown below
represents the data for the number of tickets sold,
in hundreds.
65.
The box-and-whisker plot below represents the
math test scores of 20 students.
What percentage of the test scores are less
than 72?
A.
Which conclusion can be made using this plot?
66.
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- ve percent of the attendance is
between 300 and 400.
63.
25
B.
50
C.
75
D. 100
The box-and-whisker plot below represents the
results of test scores in a math class.
What do the scores 65, 85, and 100 represent?
The box-and-whisker plot below represents
students' scores on a recent English test.
A.
Q1 , median, Q3
B.
Q1 , Q3 , maximum
C.
median, Q1 , maximum
D. minimum, median, maximum
67.
What is the value of the upper quartile?
A.
68
B.
76
C.
84
D. 94
The box-and-whisker plot shown below represents
the number of magazine subscriptions sold by
members of a club.
64. The test scores from Mrs. Gray's math class are
shown below.
Which statistical measures do points B, D, and E
represent, respectively?
72, 73, 66, 71, 82, 85, 95, 85, 86, 89, 91, 92
Construct a box-and-whisker plot to display these
data.
A.
minimum, median, maximum
B.
rst quartile, median, third quartile
C.
rst quartile, third quartile, maximum
D. median, third quartile, maximum
page 7
Statistics Review
68.
The relationship of a woman's shoe size and
length of a woman's foot, in inches, is given in
the accompanying table.
Women's Shoe Size
Foot Length (in)
5
6
7
71.
Which scatter diagram shows the strongest positive
correlation?
A.
8
9.00 9.25 9.50 9.75
The linear correlation coe cient for this
relationship is
A.
69.
70.
1
B.
1
C.
0.5
D. 0
B.
A linear regression equation of best t between
a student's attendance and the degree of success
in school is h = 0:5x + 68:5. The correlation
coe cient, r, for these data would be
A.
0<r<1
B.
1<r<0
C.
r=0
D. r = 1
C.
Which graph represents data used in a linear
regression that produces a correlation coe cient
closest to 1 ?
A.
D.
B.
72.
What could be the approximate value of the
correlation coe cient for the accompanying scatter
plot?
C.
D.
A.
page 8
0.85
B.
0.16
C.
0.21
D. 0.90
Statistics Review
73.
The accompanying table shows the percent of the
adult population that married before age 25 in
several di erent years. Using the year as the
independent variable, nd the linear regression
equation. Round the regression coe cients to the
nearest hundredth.
74.
In the physics lab, Thelma determined the kinetic
energy, KE, of an object at various velocities, V,
and found the linear correlation coe cient between
KE and V to be +0.8. Which graph shows this
relationship?
A.
Using the equation found above, estimate the
percent of the adult population in the year 2009
that will marry before age 25, and round to the
nearest tenth of a percent.
Year (x) Percent (y)
1971
42.4
1980
37.1
1976
1984
1989
37.4
34.1
32.1
1993
28.8
2000
25.5
1997
B.
25.7
C.
D.
page 9
Statistics Review
75.
There is a negative correlation between the number
of hours a student watches television and his or
her social studies test score. Which scatter plot
below displays this correlation?
76.
Which equation most closely represents the line of
best t for the scatter plot below?
A.
B.
C.
77.
y = 23 x + 1
A.
y=x
B.
C.
y = 32 x + 4
D. y = 32 x + 1
The number of hours spent on math homework
each week and the nal exam grades for twelve
students in Mr. Dylan's algebra class are plotted
below.
D.
Based on a line of best t, which exam grade is
the best prediction for a student who spends about
4 hours on math homework each week?
A.
page 10
62
B.
72
C.
82
D. 92
Statistics Review
78.
Which scatter plot shows the relationship between
x and y if x represents a student score on a test
and y represents the number of incorrect answers
a student received on the same test?
79.
The school store did a study comparing the cost
of a sweatshirt with the number of sweatshirts
sold. The price was changed several times and the
numbers of sweatshirts sold were recorded. The
data are shown in the table below.
A.
Cost of
Sweatshirt
Number Sold
$10 $25
9
6
$15
$20 $5
15
11
14
Which scatter plot best represents the data?
A.
B.
B.
C.
C.
D.
D.
page 11
Statistics Review
80.
The maximum height and speed of various roller coasters in North America are shown in the table below.
Maximum Speed,
in mph, (x)
Maximum Height,
in feet, (y)
45 50
54
60
65
70
63 80 105
118
141
107
Which graph represents a correct scatter plot of the data?
A.
B.
C.
D.
page 12
Statistics Review
81.
The scatter plot below represents the relationship
between the number of peanuts a student eats and
the student's bowling score.
83.
A cup of soup is left on a countertop to cool.
The table below gives the temperatures, in degrees
Fahrenheit, of the soup recorded over a 10-minute
period.
Time in Minutes (x)
0
Temperature in F (y) 180.2
2
165.8
4
6
146.3 135.4
8
10
127.7 110.5
Write an exponential regression equation for the
data, rounding all values to the nearest thousandth.
84.
Which conclusion about the scatter plot is valid?
A.
between
1 and 0
B.
between 0 and 1
C.
equal to
1
D. equal to 0
A.
There is almost no relationship between eating
peanuts and bowling score.
B.
Students who eat more peanuts have higher
bowling scores.
A.
C.
Students who eat more peanuts have lower
bowling scores.
the amount of gas left in a car's tank and the
amount of gas used from it
B.
the number of gallons of gas purchased and
the amount paid for the gas
C.
the size of a car's gas tank and the number
of gallons it holds
85.
D. No bowlers eat peanuts.
82.
The relationship between t, a student's test scores,
and d, the student's success in college, is modeled
by the equation d = 0:48t + 75:2. Based on this
linear regression model, the correlation coe cient
could be
The scatter plot below shows the pro t, by month,
for a new company for the rst year of operation.
Kate drew a line of best t, as shown in the
diagram.
Which situation describes a negative correlation?
D. the number of miles driven and the amount
of gas used
86.
The table below shows the concentration of ozone
in Earth's atmosphere at di erent altitudes. Write
the exponential regression equation that models
these data, rounding all values to the nearest
thousandth.
Concentration of Ozone
Altitude (x)
Ozone Units (y)
5
0.6
0
Using this line, what is the best estimate for pro t
in the 18th month?
A.
$35,000
B.
C.
$42,500
D. $45,000
10
15
20
$37,750
page 13
0.7
1.1
3.0
4.9
Statistics Review
Problem-Attic format version 4.4.220
c 2011–2014 EducAide Software
_
Licensed for use by David Powder
Terms of Use at www.problem-attic.com
Statistics Review
05/05/2015
1.
Answer:
D
21.
Answer:
C
2.
Answer:
A
22.
Answer:
D
3.
Answer:
B
23.
Answer:
C
4.
Answer:
B
24.
Answer:
C
5.
Answer:
B
25.
Answer:
3
3x
26.
Answer:
A
7.
Answer:
4
27.
Answer:
B
8.
Answer:
4x
28.
Answer:
B
9.
Answer:
B
29.
Answer:
34
10.
Answer:
A
30.
Answer:
A
11.
Answer:
B
31.
Answer:
95
12.
Answer:
C
32.
Answer:
D
13.
Answer:
7, and appropriate work is shown.
33.
Answer:
A
14.
Answer:
14
15.
Answer:
16
16.
Answer:
35.
Answer:
C
48
17.
Answer:
36.
Answer:
A
140
18.
Answer:
37.
Answer:
B
5
19.
Answer:
38.
Answer:
A
C
39.
Answer:
D
20.
Answer:
20
40.
Answer:
D
6.
Answer:
34.
Answer:
Median= 91.5, mode= 92, and seventh
test score= 96.
Teacher's Key
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:
64.
Answer:
minimum=66, rst 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
B
50.
Answer:
72.
Answer:
D
D
51.
Answer:
73.
Answer:
y = 0:58x + 1185:09 and 19.9
A
52.
Answer:
74.
Answer:
B
B
53.
Answer:
75.
Answer:
D
A
54.
Answer:
76.
Answer:
D
5
55.
Answer:
77.
Answer:
B
C
56.
Answer:
78.
Answer:
B
B
57.
Answer:
79.
Answer:
C
D
58.
Answer:
80.
Answer:
B
C
59.
Answer:
81.
Answer:
A
B
82.
Answer:
C
60.
Answer:
B
83.
Answer:
y = 180:377(0:954)x
61.
Answer:
C
84.
Answer:
B
62.
Answer:
D
85.
Answer:
A
C
86.
Answer:
y = 0:488(1:116)x
63.
Answer:
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