Name: 
 

Algebra 1 Chapter 11 Practice Test



 1. 

The line plot shows the number of books 12 students read in Ms. Zuber’s book club during the summer. Which measure of central tendency best describes the data? Justify your answer.
mc001-1.jpg
a.
The mean is 6. The mean best describes the data set because most people read less than 6 books.
b.
The median is 5. The median best describes the data set because a majority of people read 5 books.
c.
The modes are 3 and 5. The mode best describes the data set because it represents half of the people.
d.
The range is 9. The range best describes the data set because it represents the spread of the data.
 

 2. 

Rolinda's first five music theory test scores are 99, 99, 62, 59, and 58. What misleading statistic could Rolinda use to verify the claim that she is earning a good grade in music theory?
a.
the median of 62
c.
the mode of 99
b.
the range of 41
d.
the mean of 75.4
 

 3. 

The daily low temperature for ten consecutive days were 26°, 24°, 24°, 25°, 29°, 49°, 52°, 54°, 59°, 23°. Which measure of central tendency best describes the average low temperature for the 10 days? Use this measure to find the average low temperature.
a.
median; 39°
c.
median; 27.5°
b.
mode; 24°
d.
mean; 36.5°
 

 4. 

By how much does the outlier in the following data set increase the mean of the data set? Round your answer to the nearest hundredth if necessary.

{10, 12, 17, 18, 22, 30, 101}
a.
17.5
c.
18.17
b.
11.83
d.
16.83
 

 5. 

By how much does the outlier in the following data set increase the range of the data set?

{59, 70, 63, 46, 60, 38, 60, 51, 48, 85, 66, 55, 236}
a.
198
c.
236
b.
151
d.
47
 

 6. 

Two athletes run several miles each day to train. A random sample of their daily distances is taken. Find the mean and standard deviation for each athlete. Use your results to make a conclusion about the data. Round your answers to the nearest hundredth, if necessary.

Distances (miles)
Athlete A
3, 6, 5, 8, 4, 8, 6, 8, 9, 5, 5, 6, 7, 7, 3, 5, 5, 6, 7, 10, 3, 9
Athlete B
8, 9, 8, 8, 8, 4, 4, 4, 5, 5, 6, 15, 1, 3, 8, 4, 4, 8, 6, 10, 10, 10
a.
Athlete A
mc006-1.jpg

Athlete B
mc006-2.jpg

The mean for Athlete A is slightly higher than Athlete B, but the standard deviation for Athlete A is much higher than Athlete B; therefore, Athlete A has more variability.
c.
Athlete A
mc006-5.jpg

Athlete B
mc006-6.jpg

The mean for Athlete B is slightly higher than Athlete A, but the standard deviation for Athlete B is much higher than Athlete A; therefore, Athlete B has more variability.
b.
Athlete A
mc006-3.jpg

Athlete B
mc006-4.jpg

The mean for Athlete A is slightly higher than Athlete B, but the standard deviation for Athlete A is much higher than Athlete B; therefore, Athlete A has more variability.
d.
Athlete A
mc006-7.jpg

Athlete B
mc006-8.jpg

The mean for Athlete B is slightly higher than Athlete A, but the standard deviation for Athlete B is much higher than Athlete A; therefore, Athlete B has more variability.
 

 7. 

An oceanographer is measuring high tide against a mark he’s made on a post. The results of several days of measurements are shown below.

mc007-1.jpg

Which data set shows the heights of high tide over this period?
a.
{mc007-2.jpg, mc007-3.jpg, 0, 0, 0, 0, 1, 1, 3.5}
c.
{mc007-7.jpg, mc007-8.jpg, mc007-9.jpg, mc007-10.jpg, 0, 0, 0.9, 1.1, 3.5}
b.
{mc007-4.jpg, mc007-5.jpg, mc007-6.jpg, 0, 0, 1, 1, 2, 3.5}
d.
{mc007-11.jpg, mc007-12.jpg, mc007-13.jpg, mc007-14.jpg, 0, 1.5, 2, 2.5, 3.5}
 

 8. 

The number of calls answered by a paramedic team over an 8-day period are given. Use the data to make a box-and-whisker plot.

12, 6, 8, 15, 14, 6, 14, 10
a.
mc008-1.jpg
b.
mc008-2.jpg
c.
mc008-3.jpg
d.
mc008-4.jpg
 

 9. 

Seung used box-and-whisker plots to show the points he scored in his basketball games this season. He used different plots for the home and away game data, and produced the graph below.
mc009-1.jpg
Unfortunately, Seung cannot remember which plot represents the home game data and which represents the away game data. Which fact can he use to determine which set of data was used to create each box-and-whisker plot?
a.
Seung scored at least 5 points in every home game.
b.
The mode of the set of away game scores was 14.
c.
Seung scored 23 points in an away game last week.
d.
Seung played more home games than away games.
 

 10. 

The box-and-whisker plot shows the original prices of shirts at a department store. Make a double box-and-whisker plot of the data for the original data and the prices if $15 is taken off the price.

mc010-1.jpg
a.
mc010-2.jpg
b.
mc010-3.jpg
c.
mc010-4.jpg
d.
mc010-5.jpg
 

 11. 

The following data represents the ages of tenants in a particular apartment building.
27, 32, 24, 32, 31, 31, 23, 33, 20, 31, 22, 23, 30, 30, 29 

Part A: Find the minimum and maximum values and the first, second, and third quartiles for the age data.
Part B: If the 33-year-old tenant moves out and a 36-year-old person moves in, how will this affect a box-and-whisker plot of the data?
Part C: To the nearest whole percent, what percent of the tenants are 24 years old or older? To the nearest whole percent, what percent are 31 years old or older? Explain.
 

 12. 

Suppose a probability distribution is represented by a histogram. Furthermore, suppose you can draw a vertical line through the histogram that divides the histogram into two parts that are mirror images. Which word is used to describe this distribution?
a.
binomial
b.
random
c.
skewed
d.
symmetric
 

 13. 

What is the best measure of spread to use to compare the two data sets?

Income of ten recent graduates from college A (in thousands of dollars per year):
0   35   38   39   45   47   50   51   52   52

Income of ten recent graduates from college B (in thousands of dollars per year):
29   35   36   37   38   39   41   42   46   400
a.
Median
b.
Either the mean or the median
c.
Interquartile range
d.
Either the standard deviation or the interquartile range
 

 14. 

What is the difference between the interquartile range of the data set represented by the upper box plot and the interquartile range of the data set represented by the lower box plot?


mc014-1.jpg
a.
10
c.
7
b.
17
d.
4
 

 15. 

The heights, in inches, of randomly selected members of a choral company are given according to their voice part.

Soprano
(in.)
Alto
(in.)
Tenor
(in.)
Bass
(in.)
60
60
64
66
62
61
66
68
62
62
66
68
64
63
67
69
65
64
68
70
65
65
70
70
66
66
72
71
66
69
73
72
67
70
74
73
68
72
76
75

a.      Which two voice parts typically have the tallest singers? Explain why you chose the statistic you used to compare the data sets.
b.      Which two voice parts typically have singers that vary the most in height? Explain why you chose the statistic you used to compare the data sets.
 

 16. 

At State College, 458 juniors and seniors are taking a performing arts course. 217 sing in the chorus, 74 are in theater, and the rest are in dance. No one takes more than one performing arts course. There are 87 juniors taking chorus, 33 seniors taking theater, and a total of 263 seniors taking a performing arts course. Make a two-way frequency table for the data.
a.
mc016-1.jpg
b.
mc016-2.jpg
c.
mc016-3.jpg
d.
mc016-4.jpg
 

 17. 

Joyce asked 50 randomly-selected students at her school whether they have one or more brothers or sisters. The table shows the results of Joyce’s poll.
Make a table of the joint and marginal relative frequencies. Express percentages in decimal form.
mc017-1.jpg
a.
mc017-2.jpg
b.
mc017-3.jpg
c.
mc017-4.jpg
d.
mc017-5.jpg
 

 18. 

At a small high school, there are 80 girls in the senior class. Some of them play basketball, some play soccer, some play both, and some play neither. The table shows the joint and marginal frequencies for the senior girls.
If you know that a girl plays soccer, what is the probability that she also plays basketball? Express your answer as a decimal. If necessary, round your answer to the nearest hundredth.

mc018-1.jpg
a.
0.08
b.
0.23
c.
0.43
d.
0.3
 

 19. 

A social media website surveys its members. The survey compares the number of times per week a member logs into the website with the member’s age. The two-way frequency table is shown below, where the columns represent the number of weekly log-ins and the rows represent the member’s age.

 
pr019-1.jpg
6-10
pr019-2.jpg
Total
pr019-3.jpg
70
78
102
250
18-29
100
150
170
320
30-49
164
122
73
360
pr019-4.jpg
153
98
19
270
Total
487
448
365
1200

Melky states that the conditional relative frequency that a member logs into the website between 6 and 10 times per week, given that the member’s age is less than 18 years, is greater than the conditional relative frequency that a member logs into the website between 6 and 10 times per week, given that the member’s age is between 30 and 49 years. Is he correct? Explain by finding and comparing the conditional relative frequencies. Round to two decimal places as needed.
 
 
Choose an appropriate data display for the situation. Explain your reasoning.
 

 20. 

the revenue of a company each week
 

 21. 

results of a survey asking students if they are going on vacation
 

 22. 

Explain why the data display is misleading.
sa022-1.jpg
 

 23. 

The table shows the number of miles walked last week. Tell whether the data display is appropriate for representing the number of miles walked last week.

Day
Sun
Mon
Tues
Wed
Thur
Fri
Sat
Miles walked
3
2
2.5
3
1
1.5
2.5

sa023-1.jpg
 



 
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