Download Practice Test #1 - Cabrillo College

Math 12 Test 1 Spring 2011 Venable
NAME_______________________________
Please show all work for partial credit. Use separate paper if necessary. Please turn in the test and leave
quietly when you are finished.
1.
The following data give the speeds (in miles per hour) of 12 cars traveling on a highway.
67
71
57
54
69
74
77
62
61
59
58
63
a. Calculate the values of three quartiles.
b. Find the (approximate) value of the 40th percentile.
c. Find the percentile rank of 62.
2. The following data give the speeds (in miles per hour) of 12 cars traveling on a highway.
67
71
57
54
Construct a box-and-whisker plot.
69
74
77
62
61
59
58
63
3. A certain club has nine members. Of these, five are female and four are male. The club wants to select
two members to represent the club at a regional conference. If the two representatives are selected at
random, what is the probability that both of them will be male? Draw a tree diagram for this experiment
and label all branches with the corresponding probabilities.
4. The following table gives the frequency distribution of heights
players.
Height (in inches)
60 to less than 63
63 to less than 66
66 to less than 69
69 to less than 72
72 to less than 75
Calculate the mean and standard deviation.
of a sample of 100 female college basketball
f
9
27
31
26
7
5. The following data give the number of patients admitted to a hospital on seven days during the month of
January 2003.
19
14
9
25
21
13
16
Calculate the mean and standard deviation and explain what they mean.
6. All 507 families in a small town were asked if they owned a computer. This survey found that 345 families
owned a computer. Find the probability that a family selected at random from this town does not own a
computer.
7. The following table gives a two-way classification of all employees of a company based on their gender and
whether or not they are college graduates.
Male
Female
College Graduate
Yes
No
35
50
25
40
Management selects one employee randomly from the company. Find the following probabilities.
a. P(male or a college graduate)
b. P(female and not a college graduate)
c. Are the events “female” and “not a college graduate” independent?
8. Using the same data as the problem #7 above, find the following probabilities.
a. Find the probability that the employee is a college graduate.
b. Find the probability that the employee is a college graduate given that the employee is male.
c. Find the probability that the employee is male is given that the employee is a college graduate.
9. The following data give the scores of 20 students on a statistics test.
89 62 91 99 73 67 77 92 83 67
76 88 93 68 79 95 99 87 81 71
a.
Construct a frequency distribution table. Take the classes as 61 – 70, 71 – 80, 81 – 90, and 91 –100.
b.
Calculate the relative frequencies and percentages for all classes.
c.
What percentage of the students scored 81 or higher?
10. Consider the following stem-and-leaf display.
1
2
3
4
29
34
25
01
45
65 74 98
46 59 73 82
36 68 88
Write the data set that corresponds to this stem-and-leaf display.