Download Unit Two Practice Test

STATISTICS PRACTICE TEST 2
1. Match the following.
____________ a.
s
A.
 (x  x)2
____________ b.
____________ c.
range
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B.
n 1
n
Cr 
Locator Value in a data set
n!
(n  r )! r !
range rule of thumb for standard dev
C. Standard dev for a sample
____________ d.
xx
s
D.
____________ e.
s
 100 %
x
E. Coefficient of Variation
_____________ f.
L
k
n
100
Combinations Rule
F. z score
2. To find rough estimates of the minimum and maximum “usual” values, give the
formulas you could use;
a. minimum “usual” value  ________________________________
b. maximum “usual” value  ________________________________
3. One rule in interpreting values for a standard devation is the empirical rule. This rule
states that for data sets, the following properties apply:
 About ______% of all values fall within 1 standard deviations of the mean.
 About ______% of all values fall within 2 standard deviations of the mean.
 About ______ % of all values fall withing 3 standard deviation of the mean.
4.
Which of the following values is not needed to complete a Box Plot.
_____________
Median
Mean
Q1
Minimum
Q3
The owner of a small manufacturing plant employs six people. As part of their
personnel file, they each gave the distance they travel to work, to the nearest tenth of a
mile. The six distances are: 2.6
5.5
1.6
6.8
3.6
4.1
Find the following values.
_________________ 5. Range
_________________ 6. Standard Deviation – Use both formulas ( Show work below)
Distances
7. The mean height of a basketball team is 6.1 feet with a standard deviation of .2 feet.
The team’s center is 6.7 feet tall. Find the centers z score. Is his score unusual?
_____________________ 7a. z score
_____________________ b. Is it unusual?
____________________ 8. In a normal distribution, a set of scores has a mean of 22
and a standard deviation of 7. What percent of the scores
fall between 1 and 43?
9. Given that the mean of a group of data is 15 and the standard deviation is 4:
9a. What percent of the population scored above 19?
9b. What percent of the population scored below 11?
9c. What percent of the population scored below 23?
9d. What percent of the population scored between 7 and 19?
9e. 2.5 percent of the population scored below what value?
_______ 10. On which test did the student do relatively better on :
Test One: A grade of 43 on a test with x  40 and s = 3.
Test Two: A grade of 75 on a test with x  72 and s = 5.
___________________ 11. Find the coefficient of variation for each set of scores.
Which set has more variation?
Cvar ____
Data Set 1: mean 42.5 lbs standard dev 3.7 lbs
Cvar ____
Data Set 2: mean 103 lbs standard dev
Data set:
16
16
8
48
56
8
40
64
64
72
88
24
18.6 lbs
8
64
_____________________ 12. Find the percentile rank for data point 72
The test scores of 40 students are listed below.
30
35
43
59
62
63
72
73
74
81
82
83
Find the following
_______ 13. P65
44
65
76
85
47
66
77
89
48
68
77
92
54
69
78
93
______ 14. Q1
_______ 16. Q3
55
69
79
94
56
71
80
97
57
72
81
98
______ 15. Median
______17. Percentile Rank for Data Point 85
18. Construct a Box Plot using the given data. Give the five number summary and
label them on the boxplot.
82
88
72
91
53
95
86
77
87
a. Five number summary: ____________________________________________
b.
19. Use your TI – 83 calculator to construct boxplots for Gross ($) in millions for Rrated and PG-13 rated movies.
R – rated
PG – 13
Title
Aliens
Braveheart
Chasing Amy
Executive Decision
Good Will Hunting
Halloween
Hard Rain
I Know What You Did
Last Summer
Pulp Fiction
Saving Private Ryan
Schindler’s List
Scream
Terminator
The Game
True Lies
Gross (in millions)
81.843
75.6
12.006
68.75
138.339
47
19.819
72.219
8
178.091
96.067
103.001
36.9
48.265
146.261
Title
Armageddon
As Good As It Gets
Dante’s Peak
Deep Impact
Forrest Gump
Ghost
Independence Day
Indiana Jones
Men In Black
Multiplicity
Speed 2
The American President
The Fifth Element
The Man in the Iron Mask
Titanic
Volcano
Gross(in millions
194.125
147.54
67.155
140.424
329.691
217.631
306.124
197.171
250.147
20.1
48.068
65
63.54
56.876
600.743
47.474
a) Give the 5 number summary for both:
R-rated: ______________________________________________
PG-13 rated:____________________________________________
b) Change your type of graph to a modified box plot and list any outliers for both
list( if none exists, write none)
R-rated: _________
PG -13 rated ________
___________ c) Based on these results, do R-rated or PG-13 movies generally make
more money.
______ 20. What is the probability of an event that is certain to occur?
A. .5
B. 1
C. .95
D. .99
_______ 21. A die with 6 sides is rolled. What is the probability of rolling a number less
than 5?
A. 5/6
B. 2/3
C. 4
D. 1/6
________ 22. The table below describes the smoking habits of a group of asthma sufferers.
Nonsmoker
Men
Women
Total
382
403
785
Occasional
Smoker
37
31
68
Regular
Smoker
60
74
134
Heavy
Smoker
34
37
71
Total
513
545
1058
If one of the 1058 people is randomly selected, find the probability that the person is a man or a heavy
smoker.
A. .488
B. .552
C. .479
D. .520
23. ONE card is drawn from a standard card deck.
following.
You may leave your answers unreduced.
Determine each of the
_________ 23a. P(Ace of hearts)
_________ 23b. P(Ace or King)
_________ 23c. P(Ace of spades|the card is black)
24.Two cards are to be drawn from a standard card deck with replacement.
Determine each of the following. You may leave your answers unreduced.
_________ 24a. Probability that the first card is an ace and the second is a king.
_________ 24b. Probability that the first card is an ace and the second card is not
and ace.
25. Two cards are to be drawn from a standard card deck without replacement.
Determine each of the following. You may leave your answers unreduced.
_________ 25a. Probability that the first card is an ace and the second is a king.
_________ 25b. Probability that the first card is an ace and the second card is not
and ace.
_________ 26. A group of five students will be selected from a class of 20 to
participate in a survey. In how many ways can the group be selected?
_________ 27. A men’s clothing store is offering mix and match sport jackets and
slacks.
There are 8 different jackets and 12 different slacks. If a man buys
one of each how many different outfits could he purchase?
_________ 28. In how many ways can 7 books be arranged on a shelf?
_________ 29. Ten girls try out for a swim team. How many teams of 6 girls can
be chosen?
_________30.How many ways can you rearrange the letters of the word “winning”?
_________31. If the digits 0-9 are placed in a hat, what is the probability of
randomly selecting an odd digit or a digit less than 3?
_________32. The odds in favor of winning the door prize are 2:15. What is the
probability of winning the prize?
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_________33. The probability of Becky winning the tennis tournament is . What
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are the odds against her winning the tournament?
__________ 34. Six college buddies bought each other Christmas gifts. They spent:
$236.88
$299.92
$150.51 $154.55
$290.97 $251.46
What was the mean amount spent? Round your answer to the nearest cent.
________ 35. Find the mode : 79,25,79,13,25,29,56,79
________ 36. The weights(in ounces) of 18 cookies are shown. Find the midrange.
.68
1.29
1.33
23
26
33
22
13
1.29
1.20
1.46
.93
.68
.74
1.02
1.46
1.33
.74
1.33
1.02
1.43
1.14
.93
__________ 37. The number of vehicles passing through a bank drive-up line during
each 15-minute period was recorded. Find the median number of vehicles going through
the line in a 15-minute period.
25 23 26
23 28 25
29 29 27
29 23 18
25 25 25
___________ 38. A company had 80 employees whose salaries are summarized below.
Find the mean salary from the frequency distribution table.
Salary ($)
Employees
5,001-10,000
18
10,001- 15,000
20
15,001-20,000
20
20,001-25,000
14
25,001-30,000
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