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Algebra 1 Chapter 11 Test A

 1. 
Which value best describes the data?
8, 9, 10, 12, 14, 15, 18, 18, 63
a.
mean
c.
median
b.
mode
d.
outlier
 

 2. 
George's first five art history test scores are 86, 86, 60, 65, and 68. What misleading statistic could George use to verify the claim that he is earning a good grade in art history?
a.
the mean of 73
c.
the mode of 86
b.
the median of 68
d.
the range of 26
 

 3. 
Jeana went shopping for a pair of jeans at the local store. The prices of ten different pairs of jeans in the store were $18, $24, $32, $27, $35, $37, $28, $44, $24, and $51. Which value(s) best represent(s) the data? Why?
a.
The mean of $32 or the median of $30, because both are close to the middle of the set.
b.
The mean of $32, because it is not the lowest number.
c.
The mode of $24, because it occurs the most often.
d.
The median of $36, because it is in the middle of the numbers.
 

 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, 16, 17, 18, 21, 30, 135}
a.
17.5
c.
16.62
b.
22.5
d.
18.67
 

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

{85, 48, 85, 85, 67, 49, 38, 68, 73, 75, 68, 265}
a.
227
c.
265
b.
180
d.
47
 

 6. 
The number of calls received by a technical support center during 18 randomly selected days is listed. Identify the outlier, and describe how it affects the mean and the standard deviation.

50
57
77
66
53
72
51
88
82
70
62
64
69
88
98
65
14
68
a.
The outlier is 88. The outlier in the data set causes the mean to increase from about 17.8 to about 18.1 and the standard deviation to increase from about 65.1 to about 66.3.
b.
The outlier is 88. The outlier in the data set causes the mean to increase from about 65.1 to about 66.3 and the standard deviation to increase from about 17.8 to about 18.1.
c.
The outlier is 14. The outlier in the data set causes the mean to decrease from about 69.4 to about 66.3 and the standard deviation to increase from about 13.3 to about 18.1.
d.
The outlier is 14. The outlier in the data set causes the mean to decrease from about 18.1 to about 13.3 and the standard deviation to increase from about 66.3 to about 69.4.
 

 7. 
Lisa is a fitness instructor. For one month, she recorded the number of people who attended her aerobics class. She then used her data to make the box-and-whisker plot shown. Lisa’s data set includes a single outlier and no duplicate data values.
mc007-1.jpg
Which statement describes the effect on the range and interquartile range of Lisa’s data set when the outlier is removed?
a.
The interquartile range increases but the range decreases.
b.
The range and interquartile range both decrease, but the interquartile range decreases more.
c.
The range decreases but the interquartile range increases.
d.
The range and interquartile range both decrease, but the range decreases more.
 

 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, Sameer had better scores than Holly, and Sameer was more consistent in his scores.
b.
Overall, Sameer had better scores than Holly, and Holly was more consistent in her scores.
c.
Overall, Holly had better scores than Sameer, and Sameer was more consistent in his scores.
d.
Overall, Holly had better scores than Sameer, and Holly was more consistent in her scores.
 

 9. 
The high temperatures for Concord, CA, for October 1–15, 2005, 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.
14, 32, 16, 24, 21, 33, 20, 23, 25, 15, 13, 19, 28, 20, 25 

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 16 years old or older? To the nearest whole percent, what percent are 25 years old or older? Explain.
 

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

Grams of sugar per serving in cereal brand A:
mc011-1.jpg
Grams of sugar per serving in cereal brand 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 shows Amanda’s scores on her last 15 quizzes.

70
72
75
76
76
77
78
80
80
82
83
84
87
90
90

Suppose on her next quiz, Amanda scores a 96.

a.      How does the shape of the data distribution change if 96 is included?
b.      How does the mean of the data set change if 96 is included? the median?
c.      How does the standard deviation change if 96 is included? the interquartile range? Round your answers to the nearest tenth.
 

 13. 
The annual salaries (in thousands of dollars) of 15 randomly selected employees at two small companies are given. Indicate the shape of the data distributions. Then, compare the center and spread of the data and justify your method of doing so.

Company 1:
22   36   37   37   37   39   39   42   42   45   45   46   46   150   200

Company 2:
21   37   38   38   38   39   42   45   45   46   46   47   48   62   250
 

 14. 
At State College, 493 juniors and seniors are taking a performing arts course. 213 sing in the chorus, 78 are in theater, and the rest are in dance. No one takes more than one performing arts course. There are 98 juniors taking chorus, 37 seniors taking theater, and a total of 295 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 is the value of x?
a.
1
c.
0.2
b.
0.5
d.
0.1
 
 
A magazine conducts a survey of a high school graduating class to ask whether the students plan to attend a four-year college, attend a two-year college, enter the military, or get a job. Match the situation with its value, based on the two-way frequency table, rounded to two decimal places as necessary.

 
Women
Men
Total
Four-Year College
63
75
138
Two-Year College
12
18
30
Military
8
10
18
Job
15
10
25
Total
98
113
211

a.
0.06
b.
0.07
c.
0.09
d.
0.15
e.
0.4
f.
0.65
 

 17. 

 The conditional relative frequency that a student plans to get a job, given that the student is a woman
 

 18. 

 The conditional relative frequency that a student is a woman, given that the student plans to attend a two-year college
 

 19. 
The manager of a factory tested 50 items produced during each of the three work shifts. The data are summarized in the two-way frequency table below.

 
1st shift
2nd shift
3rd shift
Total
Not defective
48
49
41
138
Defective
2
1
9
12
Total
50
50
50
150

a.      What is the conditional relative frequency that a tested item is defective, given that it was produced during the first shift? during the second shift? during the third shift?
b.      Does one shift seem more likely to produce a defective product than the other two shifts? Explain using the results from part a.
 
 
Choose an appropriate data display for the situation. Explain your reasoning.
 

 20. 
results of a survey asking students what type of shows they watch on television where they could give more than one answer
 

 21. 
the average high temperature each month for a year
 

 22. 
Explain why the data display is misleading.
sa022-1.jpg
 

 23. 
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 books read.

Books Read Last Month
Frequency
0–2
3
3–5
4
6–8
4
9–11
1

sa023-1.jpg
 



 
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