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Algebra 1 Chapter 11 Test B

 1. 
The depth of snow at seven different mountain lodges is 18 inches, 20 inches, 26 inches, 22 inches, 85 inches, 18 inches, and 24 inches. Find the mean, median, and mode. Which measure is the most useful for predicting how deep the snow will be at an 8th lodge?
a.
mean: 30.4 in., median: 22 in., mode: 18 in.
The median is the most useful.
b.
mean: 22 in., median: 30.4 in., mode: 18 in.
The median is the most useful.
c.
mean: 22 in., median: 30.4 in., mode: 18 in.
The mean is the most useful.
d.
mean: 30.4 in., median: 22 in., mode: 18 in.
The mean is the most useful.
 

 2. 
Raegan's first five geography test scores are 95, 95, 58, 68, and 61. What misleading statistic could Raegan use to verify the claim that she is earning a good grade in geography?
a.
the median of 68
c.
the mean of 75.4
b.
the mode of 95
d.
the range of 37
 

 3. 
Rachel is applying for a summer job. The six current employees earn $9.00, $9.50, $10.00, $10.50, $11.00, and $25.00 per hour. In the interview, the boss tells Rachel that the average hourly wage is $12.50. Is the boss's statement misleading? Why or why not?
a.
Yes, because no one makes that exact amount.
b.
Yes, because only one employee makes at least $12.50.
c.
No, because $12.50 is the mean, which is the most reliable average.
d.
No, because $12.50 is the median, which is the most reliable average.
 

 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, 14, 15, 20, 25, 27, 29, 30, 114}
a.
21.25
c.
10.31
b.
14.25
d.
22.5
 

 5. 
By how much does the outlier in the following data set increase the range of the data set?

{57, 79, 71, 84, 77, 38, 78, 72, 74, 85, 38, 81, 255}
a.
217
c.
255
b.
170
d.
47
 

 6. 
The number of calls received by a technical support center during 22 randomly selected days is listed. Identify the outlier, and describe how it affects the mean and the standard deviation.

50
57
77
66
50
57
77
66
53
72
51
88
82
70
62
64
69
88
98
65
11
68
a.
The outlier is 11. The outlier in the data set causes the mean to decrease from about 17.4 to about 13 and the standard deviation to increase from 65.5 to about 68.1.
b.
The outlier is 11. The outlier in the data set causes the mean to decrease from about 68.1 to 65.5 and the standard deviation to increase from about 13 to about 17.4.
c.
The outlier is 88. The outlier in the data set causes the mean to increase from about 17.1 to about 17.4  and the standard deviation to increase from 64.43 to about 65.5.
d.
The outlier is 88. The outlier in the data set causes the mean to increase from 64.43 to about 65.5 and the standard deviation to increase from about 17.1 to about 17.4.
 

 7. 
Ms. Katz made the box-and-whisker plot below to show the distribution of her students’ scores on their last science test. All of the scores were different and one score was an outlier.

mc007-1.jpg 
Which statement describes the most likely effect on the mean and median test scores when the outlier is removed?
a.
The mean score increases and the median score decreases.
b.
Both the mean and median scores decrease.
c.
The mean score decreases and the median score increases.
d.
Both the mean and median scores increase.
 

 8. 
The box-and-whisker plots show the distribution of test scores for two students for a semester. What conclusion can you make about the data?

mc008-1.jpg
a.
Overall, Jim had better scores than Suresh, and Jim was more consistent in his scores.
b.
Overall, Jim had better scores than Suresh, and Suresh was more consistent in his scores.
c.
Overall, Suresh had better scores than Jim, and Jim was more consistent in his scores.
d.
Overall, Suresh had better scores than Jim, and Suresh was more consistent in his scores.
 

 9. 
The ages of the U.S. Presidents that were inaugurated during the 1900s are given below.

mc009-1.jpg

Look at the box-and-whisker plot of these data below. What, if anything, is wrong with this box-and-whisker plot?

mc009-2.jpg
a.
The value of Q1 is incorrect.
c.
The value of Q3 is incorrect.
b.
The median is incorrect.
d.
The box-and-whisker plot is correct.
 

 10. 
The following data represents the ages of tenants in a particular apartment building.
54, 37, 30, 37, 55, 38, 43, 37, 27, 28, 53, 39, 30, 41, 34 

Part A: Find the minimum and maximum values and the first, second, and third quartiles for the age data.
Part B: If the 55-year-old tenant moves out and a 56-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 30 years old or older? To the nearest whole percent, what percent are 43 years old or older? Explain.
 

 11. 
What is the best measure of center to use to compare the two data sets?

Data Set A
mc011-1.jpg
Data Set B
mc011-2.jpg
a.
Median
b.
Either the mean or the median
c.
Interquartile range
d.
Either the standard deviation or the interquartile range
 

 12. 
The table below shows the average annual snowfall, in inches, for a particular city for 16 randomly selected years between 1900 and 2000.

4
17
18
18
19
20
22
22
24
24
26
27
28
28
29
42

a.      Which values, if any, are outliers?
b.      Describe the shape of the given data set and the data set if the outliers are removed.
c.      How do the mean and median of the data set change if the outliers are removed? Explain.
 

 13. 
The table shows 8 randomly selected scores from the most recent test in three different classes.

Algebra 1
Algebra 2
Geometry
72
65
0
75
70
68
76
72
73
81
75
75
82
75
79
86
81
80
92
93
84
95
94
89

a.      Which statistics should be used to compare the center and spread of the three data sets? Explain.
b.      Compare the test scores of the three classes using a measure of center and a measure of spread.
c.      If only the data from Algebra 1 and Algebra 2 are being compared, which statistics should be used? Explain.
 

 14. 
At State College, 491 juniors and seniors are taking a performing arts course. 216 sing in the chorus, 71 are in theater, and the rest are in dance. No one takes more than one performing arts course. There are 114 juniors taking chorus, 32 seniors taking theater, and a total of 235 seniors taking a performing arts course. Make a two-way frequency table for the data.
a.
mc014-1.jpg
b.
mc014-2.jpg
c.
mc014-3.jpg
d.
mc014-4.jpg
 

 15. 
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.
mc015-1.jpg
a.
mc015-2.jpg
b.
mc015-3.jpg
c.
mc015-4.jpg
d.
mc015-5.jpg
 

 16. 
A group of men and women were polled about whether they go to the gym regularly. The joint and marginal relative frequencies corresponding to the results are shown in the two-way table.

mc016-1.jpg

What of these is the value of y?
a.
1
c.
0.2
b.
0.5
d.
0.1
 

 17. 
A survey of 120 students about which sport, baseball, basketball, football, hockey, or other, they prefer to watch on TV yielded the following two-way frequency table. What is the conditional relative frequency that a student prefers to watch baseball, given that the student is a girl? Round the answer to two decimal places as needed.

 
Baseball
Basketball
Football
Hockey
Other
Total
Boys
18
14
20
6
2
60
Girls
14
16
13
5
12
60
Total
32
30
33
11
14
120
a.
11.67%
b.
23.33%
c.
43.75%
d.
53.33%
 

 18. 
Which of the following statements are supported by the survey data in the two-way frequency table?

 
Right- handed
Left- handed
Total
Males
82
23
105
Females
79
16
95
Total
161
39
200
 a.
The joint relative frequency that a person surveyed is female and left-handed is about 0.168, or 16.8%.
 b.
The conditional relative frequency that a person surveyed is female, given that the person is right-handed, is about 0.4907, or 49.07%.
 c.
The joint relative frequency that a person surveyed is male and is right-handed is about 0.41, or 41%.
 d.
The conditional relative frequency that a person surveyed is right-handed, given that the person is male, is about 0.5093, or 50.93%.
 e.
The marginal relative frequency that a person surveyed is left-handed is about 0.195, or 19.5%.
 
 
Choose an appropriate data display for the situation. Explain your reasoning.
 

 19. 
a student’s quiz scores and how the scores are spread out
 

 20. 
the number of students that play each instrument in a school band
 

 21. 
Explain why the data display is misleading.
sa021-1.jpg
 

 22. 
The frequency table shows the number of books that 12 people read last month. Tell whether the data display is appropriate for representing the number of people that read books.

Books Read Last Month
Frequency
0–2
6
3–5
3
6–8
1
9–11
2

sa022-1.jpg
 



 
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