Question 1
A college president wants to find out which courses are popular with students.
The president decides to conduct a survey of a sample of students. What procedure
would be most appropriate for obtaining a statistically unbiased sample of the
college's students?
a) Have students voluntarily mail in their preferences.
b) Survey the first hundred students from an alphabetical listing.
c) Survey a random sample of students from a list of the entire student body.
d) Survey a random sample of students from the English department.
Question 2
A city's elementary school board needs to estimate the average number of school-age
children per house in its city. To do so, the board decides to conduct a survey.
What procedure would be most appropriate for selecting a statistically unbiased
sample?
a) Survey a random sample of the people who work at a local medical center.
b) Select the largest grocery store in the city and survey a random sample
of its customers.
c) Randomly select geographic regions of the city and then survey a random
sample of people within the regions.
d) Survey all the residents of the largest subdivisions in the city.
Question 3
The graph below represents the monthly average temperature for
7 months of the year. How much higher is the average temperature in May than
it is in April?
a) 15º
b) 10º
c) 5º
d) 7º
Question 4
The graph below represents the yearly rainfall in inches in
Sagamore County for 1983-1988. Find the rainfall for 1986.
a) 42 inches
b) 37 inches
c) 15 inches
d) 18 inches
Question 5
The number of hours required in each discipline of a college
core curriculum is represented by the circle graph below. What percent of
these hours is in math and history combined?
a) 42.3%
b) 50%
c) 34.5%
d) 36.5%
Question 6
The graph below depicts the size (square feet) and sales price
($) for homes sold in New Jersey (x) and homes sold in California (o) as determined
by the 1990 Real Estate Association survey. Which of the following is true
based on the graph below?
a) A relationship between price and size exists ONLY for homes in New Jersey.
b) Larger homes tend to cost more than smaller homes; a stronger relationship
exists for homes in New Jersey than for homes in California.
c) Larger homes tend to cost more than smaller homes; a stronger relationship
exists for homes in California than for homes in New Jersey.
d) A relationship between price and size exists ONLY for homes in California.
Question 7
What is the mode in the following sample?
11, 29, 21, 2, 28, 29, 18, 29, 6, 29, 29
a) 21
b) 28
c) 29
d) 15.5
Question 8
What is the mean in the following sample?
6, 4, 28, 21, 28, 28, 26, 28, 14, 9, 28
a) 16
b) 20
c) 26
d) 28
Question 9
What is the median in the following sample?
2, 5, 5, 27, 5, 6, 26, 15, 18, 8, 4
a) 14.5
b) 5
c) 6^{}
d) 11
Question 10
The number of patients treated by Dr. Jason's dentist office
each day was recorded for 10 days. Using the given data, find the mean, the
median, and the mode for this sample.
3, 26, 8, 22, 30, 30, 6, 15, 21, 28
a) 18.9, 30, 21.5^{}
b) 30, 21.5, 18.9
c) 18.9, 21.5, 30
d) 16.5, 30, 21.5^{}
Question 11
In a mathematics class, half the students scored 80 on an achievement test.
Most of the remaining students scored 72 except for a few students who scored
24. Which of the following statements is true about the distribution of the
scores?
a) The median is greater than the mode.^{}
b) The mean and the median are the same.^{}
c) The mean is less than the median.^{}
d) The mean is greater than the mode.^{}
Question 12
The graph below represents the distribution of scores on a placement
test for students at Central High School. Select the statement that is true
about the distribution of scores.
a) The mean and the mode are the same.^{}
b) The median and the mode are the same.
c) The mean is greater than the mode.^{}
d) The median is less than the mode.
Question 13
The table below shows the distribution of families by income in Racine, Wisconsin.
Income Level
Percent of Families
$ 0 -
9, 999
3
10, 000 -
14, 999
9
15, 000 -
19, 999
22
20, 000 -
24, 999
40
25, 000 -
34, 999
10
35, 000 -
49, 999
8
50, 000 -
79, 999
4
80, 000 -
119, 000
3
120, 000 and over
1
Identify the amount below which 34 percent of the families in Racine have lower
incomes.
a) $15, 000
b) $20, 000
c) $25, 000
d) $35, 000
Question 14
From a group of five boys and two girls, a boy and a girl will be selected
to attend a conference. How many different pairs can be chosen?
a) 5
b) 20
c) 10
d) 15
Question 15
A panel of judges is to consist of 2 women and 3 men. A list of potential
judges has 3 women and 5 men on it. How many different panels could be created
from this list?
a) 10
b) 6
c) 3
d) 30
Question 16
The probability of getting an A in Mrs. Ford's class in any semester is 16%.
What is the probability of NOT getting an A?
a) 68%
b) 74%
c) 64%
d) 84%
Question 17
A box contains two red, three white, and four blue balls. Two balls are drawn
from the box at random without replacement. What is the probability that neither
ball is red?
a) 7/9 x 8/8
b) 7/9 x 6/8
c) 7/9 x 7/9
d) 7/9 x 1/9
Question 18
Two representatives are chosen at random from a group of 160 students that has
80 girls and 80 boys. What is the probability that the representatives selected
are either both boys or both girls?
a) 2 x 80/160 x 79/159
b) 2/80 x 2/80
c) 2/80 + 2/80
d) 80/160 x 79/159
Question 19
Research shows that in the U.S., 58% of adults aged 18-21 work full time, 32%
are students, and 16% both work full time and are students. If you choose a
person from this age group at random, what is the probability that the person
works full time, is a student, or both?
a) 48%
b) 16%
c) 74%
d) 90%
Question 20
The following is a description of students at a high school
by sex and student classification.
Freshmen
Sophomore
Junior
Senior
Male
18%
14%
13%
8%
Female
10%
14%
9%
14%
Find the probability that a randomly selected high school student is female.
a) 0.53
b) 0.22
c) 0.47
d) 0.28
Question 21
The following is a distribution of the cause of fires nationally:
Cause
Percent of all Fires
Cooking
34
Smoking
16
Appliances
16
Heating system
8
Electrical system
10
Other
16
If it is known that a fire has NOT been caused by the heating or
electrical systems, find the probability that it was caused by appliances.