FREE CLAST Statistics and Probability Questions and Answers

Question 1

A college president is curious about the most well-liked courses among students.
The president makes the decision to poll a representative sample of students.
Which method would be best for gathering a representative sample of college students from a statistically neutral perspective?

Accepted Answer

Survey a random sample of students from a list of the entire student body

Answer

Survey the first hundred students from an alphabetical listing

Answer

Have students voluntarily mail in their preferences

Answer

Survey a random sample of students from the English department

Question 2

The average number of school-age children per home in a city must be determined by the primary school board. The board decides to run a poll in order to achieve this. What process would be most suitable for choosing a statistically unbiased sample?

Accepted Answer

Randomly select geographic regions of the city and then survey a random sample of people within the regions

Answer

Select the largest grocery store in the city and survey a random sample of its customers

Answer

Survey a random sample of the people who work at a local medical center

Answer

Survey all the residents of the largest subdivisions in the city

Question 3

What mode can you identify in the example below?
11, 29, 21, 2, 28, 29, 18, 29, 6, 29, 29

Accepted Answer

29

Answer

28

Answer

21

Answer

15.5

Question 4

What does the following sample mean look like?
6, 4, 28, 21, 28, 28, 26, 28, 14, 9, 28

Accepted Answer

20

Answer

16

Answer

28

Answer

26

Question 5

For ten days, the number of patients Dr. Smith's dental practice saw each day was noted. Find the sample's mean, median, and mode using the provided data.
3, 26, 8, 22, 30, 30, 6, 15, 21, 28

Accepted Answer

18.9, 21.5, 30

Answer

18.9, 30, 21.5

Answer

16.5, 30, 21.5

Answer

30, 21.5, 18.9

Question 6

In a math class, 50 percent of the pupils achieved an 80 on an accomplishment exam. With a few exceptions, the majority of the remaining pupils achieved scores of 72 or higher. Which of the following claims regarding the distribution of the scores is accurate?

Accepted Answer

The mean is less than the median

Answer

The median is greater than the mode

Answer

The mean and the median are the same

Answer

The mean is greater than the mode

Question 7

A boy and a girl will be chosen to go to a conference from a group of five lads and two girls. How many different pairs are there to pick from?

Accepted Answer

10

Answer

15

Answer

20

Answer

5