# CLAST Math On-Line Practice Quiz

### (Chapter 4 - Form A: Statistics and Probability)

```CLAST Statistics Skills Including Probability

Identify information contained in graphs
Determine the mean, median, and mode
Use the fundamental counting principle
Recognize properties and interrelationships among the mean, median, and mode
Choose the most appropriate procedures for selecting an unbiased sample
Identify the probability of a specified outcome
Infer relations and make accurate predictions from studying statistical data
Interpret real-world data involving frequency and cumulative frequency tables
Solve real-world problems involving probabilities ```

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## 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.

a) 17/50
b) 4/25
c) 8/41
d) 17/41

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