Download Data Analysis TEST

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Data Analysis TEST
Multiple Choice
Identify the choice that best completes the statement or answers the question.
1. Suppose that to make the golf team you need to score no more than 81 on average over 5 games. If you scored 75, 92, 97,
and 76 in your first 4 games what is the highest score you can shoot in your 5th game and still make the team?
a. 65
c. 63
b. 66
d. 67
2. Find x if the average of 15, 14, 17, 20, and x is 19.
a. 29
c. 30
b. 31
d. 27
3. The line plot shows the number of hours that a group of students spent studying for the SAT during their first week of
preparation. What are the mean, median, mode, and range of their times spent studying?
Hours Studied per Student
X
12
X
X
X
X
X
X
X
14
X
X
X
X
16
18
a. mean = 15
c. mean = 12
median = 15
median = 15
mode = 15
mode = 12
range = 7
range = 6
b. mean = 15
d. mean = 12
median = 15
median = 15
mode = 15
mode = 12
range = 6
range = 7
4. The back-to-back stem-and-leaf plot below shows exam scores from two different math classes. What is the mode and
mean for class A and the range and median for class B?
Class A
125678
2349
1148
1
25
0
Key:
Class B
4
5
6
7
8
9
1
9
2
1
0
2
2
4
5
3
2
9
788
44667
5
0|9|2 means 90 for Class A and 92 for Class B
a. mode class A = 1
mean class A = 59.4
range class B = 50
median class B = 77
b. mode class A = 61
mean class A = 59.4
range class B = 54
median class B = 78
c. mode class A = 59
mean class A = 56.5
range class B = 54
median class B = 90
d. mode class A = 1
mean class A = 56.5
range class B = 52
median class B = 80
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What are the minimum, first quartile, median, third quartile, and maximum of the data set?
5. 3, 12, 17, 7, 11, 8, 20, 19
a. minimum 3; first quartile 5.25; median 14.75; third quartile 18; maximum 20
b. minimum 3; first quartile 7.5; median 11.5; third quartile 19; maximum 20
c. minimum 3; first quartile 7.5; median 11.5; third quartile 18; maximum 20
d. minimum 3; first quartile 9.5; median 14.75; third quartile 19; maximum 20
6. Which graph or graphs would be best for showing the depth of water in a pond over a period of time?
I.
II.
a. I
b. I, II, or III
III.
c. III
What type of relationship does the scatter plot show?
7.
y
12
10
8
6
4
2
1
2
3
4
5
6
x
6
7
a. positive correlation
b. negative correlation
c. no correlation
8.
y
14
12
10
8
6
4
2
1
2
3
4
5
a. positive correlation
b. negative correlation
c. no correlation
x
d. I or II
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9.
y
14
12
10
8
6
4
2
1
2
3
4
5
6
x
7
a. positive correlation
Mistakes
at a Piano Recital
b. negative
correlation
c. no correlation
_ 10. The scatter plot shows the number of mistakes a piano student makes during a recital versus the amount of time the
student practiced for the recital. How many mistakes do you expect the student to make at the recital after 7 hours of
practicing?
mistakes
100
y
80
60
40
20
2
4
6
8
10
12
14
x
practice time (hr)
a. 42 mistakes
c. 53 mistakes
b. 43 mistakes
d. 61 mistakes
_ 11. The scatter plot below shows the height of a tree over time. What is the approximate height of the tree after 10 years?
y
Height of Tree Over Time
height (ft)
20
15
10
5
2
4
6
8
10
12
14
x
time (yr)
a. 17 ft
b. 14 ft
c. 20 ft
d. 22 ft
_ 12.
_ 13.
_ 14.
_ 15.
_ 16.
Practice (hours)
1
2
3
4
5
6
Typing Speed (words per minute)
21
26
35
37
40
?
a. y = 5.1x + 17; r = 0.971; about 47 words per minute
b. y = 17.1x + 4.9; r = 0.791; about 142 words per minute
c. y = 4.9x + 17.1; r = 0.971; about 47 words per minute
d. y = 4.6x + 16; r = 0.902; about 53 words per minute
You roll a standard number cube. Find P(number greater than 2)
a. 2
b. 1
c. 5
d. 1
3
6
3
A drug trial is testing the effectiveness of two drugs. If 30 patients are given Drug A, 60 patients are given Drug B, and 80
patients are given a placebo, what is the probability that a patient will NOT be given a placebo?
a. 9
b. 3
c. 8
d. 6
17
17
17
17
In a batch of 940 calculators, 9 were found to be defective. What is the probability that a calculator chosen at random will
be defective? Write the probability as a percent. Round to the nearest tenth of a percent if necessary.
a. 74.3%
b. 99%
c. 1%
d. 1.2%
Suppose you flip a coin and roll a number cube. What is the probability of having tails come up on the coin and an even
number on the number cube?
a. 1
c.
b.
d.
_ 17. Which graph suggests that the number of sit-ups Mark did in November was more than double the number of sit-ups he
did in September?
a.
c.
31
36
30
29
34
b.
Dec.
33
Sit-Ups
Sit-Ups
28
Oct.
27
26
Nov.
35
Dec.
Nov.
Sep.
32
31
25
30
24
29
23
28
22
27
d.
18
Oct.
Sep.
36
35
Dec.
34
Sep.
33
Oct.
16
15
Sep.
Nov.
Sit-Ups
Sit-Ups
17
Nov.
31
30
29
14
Dec.
32
28
27
Oct.
Short Answer
1. The graph shows the population of four towns.
A
B
C
D
4
6
8
10
12
14
16
a.
Which town appears to have about twice the population of Town C?
b.
Which town actually has twice the population of Town C?
c.
Explain why the graph is misleading.
Find the mean, median, mode and range of the data set. Round to the nearest tenth.
2. 1, 14, 4, 12, 3, 13, 4, 13, 4, 15, 11
Make a box-and-whisker plot of the data. Be sure to include the five numbers needed to make the plot.
3. 28, 23, 21, 24, 25, 11, 17, 14
4. Display the set of data in a line plot.
58, 55, 54, 61, 56, 54, 61, 55, 53, 54
5. The frequency table below shows the ages of the first ten people in line at the movie theater. Make a line plot that shows
the same data as the frequency table.
Ages
Frequency
22
3
23
2
27
2
29
1
30
2
6.
The graph above shows the percent of market share for various brands of orange juice.
a. Why is this graph misleading?
b. Explain how to redraw the graph so it is not misleading.