TEST NAME: Math 1 Stats
TEST ID: 3024804
GRADE: 09 - Ninth Grade
SUBJECT: Mathematics
TEST CATEGORY: School Assessment
Math 1 Stats
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Student:
Class:
Date:
1.
2.
Which set of data is displayed in the box plot shown below?
A.
2, 3, 4, 5, 5, 6, 7, 7, 8, 10
B.
2, 2, 3, 4, 4, 4, 5, 6, 8, 10
C.
2, 3, 4, 5, 5, 6, 6, 6, 9, 10
D.
2, 2, 4, 4, 5, 5, 7, 7, 8, 10
The students in Ms. Rodriguez's 3rd period and 5th period classes worked
on group projects. The tables below show the grade received by each
group in both classes.
Ms. Rodriguez wants to compare the median of the 3rd period group
project grades with the median of the 5th period group project grades.
Which graph or graphs would be MOST appropriate for a comparison of
the medians?
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A.
B.
C.
D.
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3.
The data below shows the number of hours in one day the employees at
a local grocery store worked for that day.
5, 8, 8, 8, 10, 5, 6, 6, 3, 5, 8, 10, 6, 4, 4, 9
Which box plot displays the data?
A.
B.
C.
D.
4.
Mrs. Jones surveyed the class for the number of letters in their given first
name. The data is recorded below.
{5, 8, 6, 5, 4, 9, 8, 7, 6, 3, 8, 7, 5, 6, 7, 8}
What is the interquartile range of the data?
A.
2
B.
3
C.
7
D.
8
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5.
The list below shows the number of minutes that Benjamin spent
practicing the piano on 12 days.
75, 75, 75, 70, 70, 85, 82, 65, 72, 74, 80, 84
Which box plot correctly displays the data?
A.
B.
C.
D.
6.
Mrs. Garcia decides to organize her students’ algebra test scores into
a box plot to analyze the results, as shown below.
What is the median score of the class?
7.
A.
76
B.
80
C.
82
D.
84
A group of athletes participated in a push-up competition.
Number of Push-Ups0-910-1920-2930-3940-4950-5960-6970-7980-8990-100
Number of People 0 0
10
6
13
16 10 25 15
5
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Which histogram represents the data from the table?
A.
B.
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C.
D.
8.
The table below shows the number of customers that visits a store at
different times of the day.
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Which histogram correctly displays the given data?
A.
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B.
C.
D.
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9.
Dave records the number of hours he spent watching television each day
for a period of 10 days as shown.
5, 1, 2, 6, 3, 4, 7, 8, 10, 4
Which box-and-whisker plot represents the data he recorded?
A.
B.
C.
D.
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10.
The ages of 11 senior citizens taking an art class are shown below.
{86, 92, 86, 80, 83, 80, 93, 92, 93, 84, 83}
Which box plot represents the ages of the senior citizens?
A.
B.
C.
D.
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11.
Which box plot represents the data set shown below?
{35, 47, 52, 66, 57, 28, 44, 50, 51, 51, 70, 61}
A.
B.
C.
D.
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12.
Andy made a list of the ages of the players selected for a tennis
tournament. The ages of the players are listed below.
25, 26, 28, 28, 31, 31, 30, 23, 24, 27, 27, 24, 28, 30, 23, 32, 27, 28
Which of these line plots is a correct representation of these data?
A.
B.
C.
D.
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13.
The data below show the donations, in dollars, a charity received from 8
of its donors at a fund-raising event.
640, 550, 480, 600, 720, 720, 800, 840
Which box plot correctly represents these data?
A.
B.
C.
D.
14.
The heights of several students, in inches, are given below.
50, 52, 54, 56, 57, 60, 61, 64, 65, 67
Which histogram correctly displays this data?
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A.
B.
C.
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D.
15.
The amount of time (in hours) several different batteries lasted in a toy
are listed below.
11.75, 11.75, 11.50, 12.25, 12.25, 12.00, 12.25, 11.00, 13.25, 11.50
Which histogram correctly displays the data?
A.
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B.
C.
D.
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16.
The data below show the distance, in miles, traveled by a taxicab each
day over a period of 7 days.
190, 200, 200, 220, 210, 240, 250
Which box plot best represents the data?
A.
B.
C.
D.
17.
What is the midpoint of the line segment with endpoints at (–9.25,
– 3.75) and (5.50, – 1.50)?
A.
(–6.500, –2.000)
B.
(–5.375, –1.750)
C.
(–3.750, –5.250)
D.
(–1.875, –2.625)
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18.
The heights in inches of a college women’s basketball team are listed
below.
72, 65, 68, 75, 72, 74, 70, 66, 65, 75, 71, 66
Which histogram correctly represents these data?
A.
B.
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C.
D.
19.
John recorded the number of rotten tomatoes in each crate delivered to a
store.
Number of
Rotten
Tomatoes
Number of
Crates
1–10
10
11–20
6
21–30
8
31–40
3
41–50
7
51–60
4
Which histogram correctly represents the data from the table?
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A.
B.
C.
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D.
20.
Cindy and John are members of an afterschool bowling club. Cindy played
9 games this week, while John played 8 games. The tables below display
the number of points they scored in each game.
Based on the data listed, that both players have a median score of 162,
and that both players are at a similar skill level, which statement best
describes who did better over the course of the week?
A.
Cindy did better because she had the highest points scored in a
single game.
B.
Both Cindy and John did equally well because they had the same
median value of points scored.
C.
John did better because the standard deviation of his scores is less
than the standard deviation of Cindy’s scores.
D.
Cindy did better because the standard deviation of her scores is
greater than the standard deviation of John’s scores.
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21.
What is the difference between the histograms below?
A.
B.
C.
D.
22.
the maximum number of tickets sold
the minimum number of tickets sold
the median number of tickets sold
the mode number of tickets sold
The table shows the mean and median price of the items Adriana sold on each day of her
yard sale.
Adriana’s Yard Sale Statistics
Mean Price
Median Price
of Items Sold of Items Sold
First Day
$2.50
$2.00
Second Day
$7.50
$6.00
Of the items she sold on both days combined, she sold 40% on the first day. If Adriana sold
at least 2 items each day, which statement must be true about the prices of all the items she
sold during her sale?
A.
B.
C.
D.
The mean of the prices of all the items equals $5.00
The mean of the prices of all the items exceeds $5.00
The median of the prices of all the items equals $4.00
The median of the prices of all the items exceeds $4.00
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23.
The table below shows the number of homes sold in South County during the months of
October through December over a 5-year period.
South County Home Sales
Year
Oct
Nov
Dec
2002
196
174
194
2003
214
155
206
2004
184
173
202
2005
146
136
156
2006
151
123
143
What is the difference in the mean number of homes sold in October and the mean number
of homes sold in December over the 5-year period?
A.
2
B.
5
10
18
C.
D.
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24.
Ben wants to compare the scores of this year’s basketball games to the scores of last year’s
games. He made the following double stem-and-leaf plot to make his comparison.
Comparison
of
Basketball
Scores
Between the
Last
Two Years
Last
Year
Stem
995
0
97753
1
6654
2
9
3
4
5
This
Year
999
7889
456778
233
2
What is the difference between the median score this year and the median score last year?
A.
C.
16
17
18
D.
20
B.
25.
Mrs. Bowen asked students in her class the average number of minutes
each person spent reading each night. The results are recorded below.
Girls
43
27
20
28
32
25
35
22
30
42
Boys
35
20
21
25
26
10
15
12
15
45
What is the approximate difference between the standard deviation of boys’ and girls’
reading times?
A.
3
B.
8
C.
9
D.
11
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26.
Amy kept track of the number of minutes each of her friends could stand
on one foot. She assembled the data into the following set:
Which set has the same inter-quartile range as S, but has a different
median?
27.
A.
The set consisting of each element of S plus 4:
B.
The set consisting of each element of S doubled:
C.
The set consisting of each element of S squared:
D.
The set consisting of the elements of S except the least and greatest
elements:
The data shows the test scores of four different classes.
Algebra: {87, 91, 64, 88, 74}
Geometry: {98, 86, 84, 91, 79}
Statistics: {87, 72, 84, 88, 91}
Pre-Algebra: {63, 82, 78, 71, 74}
Which class had the smallest interquartile range?
A.
Algebra
B.
Geometry
C.
Statistics
D.
Pre-Algebra
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28.
The box-and-whisker plots below represent the scores for pre- and post-written tests for
applicants obtaining their driver’s licenses. A passing score is 70%.
Which of the following is best supported by the information in the graphs?
A.
Exactly 25% more applicants passed the post-test than the pre-test.
B.
Exactly 50% more applicants scored below the passing score on the pre-test than on the posttest.
Of all the applicants that passed the pre-test, only 25% scored higher than a 90.
Of all the applicants that passed the post-test, only 50% scored between a 70 and an 80.
C.
D.
29.
Two classes are competing in a challenge to collect 75 items for a local food bank. Items are
only collected during school days. At the end of the first week, they created the table below
to show the number of items collected each day. They also calculated the mean number of
items each class collected per day.
Items Collected During the First Week
Monday Tuesday Wednesday Thursday Friday
Class 1
9
12
10
11
8
Class 2
6
8
12
9
5
If, each day next week, each class collects the mean number of items it collected during
week one, which of the following will occur?
A.
C.
On Tuesday, Class 1 will reach its goal and win the challenge.
On Wednesday, Class 1 will reach its goal and win the challenge.
On Thursday, Class 2 will reach its goal and win the challenge.
D.
On Friday, both classes will tie so neither will win the challenge.
B.
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30.
In an election, the median number of votes a candidate received in 5 towns was 250. Which
statement MUST be true about this election?
A.
C.
The candidate received 250 votes in at least 1 town.
The candidate received exactly 250 votes in at least two of the towns.
The total number of votes the candidate received in the election was 1250.
D.
The total number of votes received by all the candidates in the election was 1250.
B.
31.
Which of the box-and-whisker plots represent data that has a median of 18 and a lower
quartile of 16?
A.
B.
C.
D.
32.
Plot 2
Plot 3
Plots 1 and 2
Plots 1 and 3
Greg measured the lengths of the vehicles in the school parking lot. He recorded
the data in the table below.
Type of Vehicle
Length (inches)
Cars
160
176
173
182
163
185
180
172
175
174
Other Vehicles
192
95
180
202
98
208
200
105
210
190
What is the difference in the interquartile range for the 2 types of vehicles?
A.
97
B.
89
C.
8
D.
6
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33.
The current age for each member of the Garza family is shown below:
Jim is 49 years old.
Gianneta is 42 years old.
Elizabeth is 22 years old.
Danielle is 18 years old.
Kurt is 15 years old.
Tyler is 9 years old.
Franco is 5 years old.
Pilar is 1 year old.
Which of the following statements accurately compares the ages of the
Garza family now, to their ages two years ago? (Two years ago, Pilar was
not yet part of the Garza family.)
34.
A.
The median age is lower now than it was two years ago.
B.
The interquartile range now is less than it was 2 years ago.
C.
The interquartile range now is greater than it was two years ago.
D.
The median age now is the same as the median age two years ago.
The data below shows the number of hours boys and girls spent studying
for a test.
Boys: {2, 1, 3, 1, 2, 2}
Girls: {4, 1, 3, 2, 2, 4}
What is the difference in the interquartile range between the girls and boys?
A.
1
B.
2
C.
3
D.
5
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35.
Parallel box-and-whisker plots made from information gathered during research are shown
below.
What do the distributions have in common?
36.
A.
range
B.
C.
median
minimum value
D.
maximum value
The data sets show the test scores of a group for the last two tests.
Test 1: {75, 75, 85, 80, 65, 70, 65}
Test 2: {95, 85, 85, 90, 90, 95, 100}
Which data set had the smaller standard deviation?
A.
Test 1 with a standard deviation of 7.5
B.
Test 2 with a standard deviation of 7.5
C.
Test 1 with a standard deviation of 5.6
D.
Test 2 with a standard deviation of 5.6
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37.
The table below shows the heights, in feet, of the five tallest buildings
in three cities in the United States.
New York
Chicago
Boston
1,250
1,451
790
1,200
1,389
749
1,046
1,136
614
1,046
1,127
601
977
1,007
600
Which statement is true about the data?
38.
A.
The interquartile range for New York’s buildings is less than the
interquartile range for Boston’s buildings.
B.
The interquartile range for Chicago’s buildings is less than the
interquartile range for Boston’s buildings.
C.
The interquartile range for New York’s buildings is greater than the
interquartile range for Chicago’s buildings.
D.
The interquartile range for Chicago’s buildings is greater than the
interquartile range for New York’s buildings.
Nine runners were each timed on a race course. Their finish times, in seconds, were 23, 31,
28, 32, 34, 26, 36, 25, and 29. Two more runners will now run the course. What should be
their finish times, so that the mean finish time increases but the median remains the same?
A.
24 seconds and 27 seconds
B.
C.
27 seconds and 33 seconds
30 seconds and 33 seconds
D.
33 seconds and 36 seconds
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39.
The two sets of data represent the points scored by two basketball teams.
Points
Scored
Team
A
45
55 49 64 39 66
Team
B
38
53 58 49 55 61
What is the difference between the upper-quartile values for the two sets of scores?
40.
41.
A.
2
B.
C.
4
5
D.
6
A data set contains only one outlier. Which statistical measure will most
likely remain the same if the outlier is removed?
A.
mean
B.
mode
C.
range
D.
standard deviation
The number of runs scored by the Lions for six games is shown below.
If the Lions scored 13 runs in their seventh game, which statement is true?
A.
B.
C.
D.
The median and the mean both remain the same.
The mean and the median both increase.
The median increases and the mean remains the same.
The mean increases and the median remains the same.
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42.
Pete adds 78 to the data set below.
20, 32, 32, 45, 50
Which statement below will be true?
43.
44.
A.
The mode will increase.
B.
The mean will remain the same.
C.
The median will remain the same.
D.
The interquartile range will increase.
When an outlier is added to a set of symmetric data, which measure will
most likely change the least?
A.
mean
B.
median
C.
range
D.
standard deviation
The number of runs scored by the Stars for six games is shown below.
If the Stars scored 14 runs in their seventh game, which of the following statements is true?
A.
B.
C.
D.
The mean and the median both increase.
The median and the mean both remain the same.
The mean increases and the median remains the same.
The median increases and the mean remains the same.
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Page 33 of 35
45.
The histogram below shows the ages of the members of a community
gym.
How will the mean age of members at the community gym change if the
outlier in the data shown is removed?
46.
A.
The mean age of members will increase.
B.
The mean age of members will decrease.
C.
The outlier does not affect the mean, so the mean age of members
will not change.
D.
There is no outlier in this data set, so the change in the mean age of
members cannot be determined.
For a set of data, the lower quartile is 19, the median is 31, and the upper quartile is 48.
Which value would be an outlier using 1.5 × IQR criteria?
A.
B.
C.
D.
–13
12
75
96
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47.
Which statistical measure will be most affected if the outlier is removed
from the data set below?
20,000; 24,500; 26,000; 31,000; 31,000; 63,000
48.
A.
mean
B.
median
C.
standard deviation
D.
interquartile range
The box-and-whisker plots below show the distribution of math test
scores of students in two different classes with the same, odd number of
students.
Which statement best compares the performance of class A and class B
on this math test?
A.
All students in class A performed better than all students in class B.
B.
All students in class B performed better than all students in class A.
C.
The majority of students in class A performed better than the
majority of students in class B.
D.
The majority of students in class B performed better than the
majority of students in class A.
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