Core Academic Skills Assessment Mathematics: Data and Statistics Questions and Answers

Question 1

A teacher is analyzing the scores for a recent test: {85, 90, 88, 92, 86, 94, 32}. Which measure of central tendency would be most affected by the score of 32?

Accepted Answer

Mean

Answer

Mode

Answer

Median

Answer

Range

Question 2

A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. If one marble is drawn at random, what is the probability that it will be blue?

Accepted Answer

3/10

Answer

1/3

Answer

3/7

Answer

7/10

Question 3

A student's scores on five history exams were 88, 95, 76, 88, and 83. What is the median score?

Accepted Answer

88

Answer

86

Answer

19

Answer

83

Question 4

The bar chart below shows the number of books read by four students over the summer. Amy read 12, Ben read 8, Chloe read 15, and David read 9. How many more books did the student who read the most read than the student who read the least?

Accepted Answer

7

Answer

3

Answer

6

Answer

4

Question 5

A researcher wants to survey the opinions of students at a large university with 20,000 students. Which of the following methods would produce the most representative random sample?

Accepted Answer

Using a computer to randomly select 200 student ID numbers from the university's official roster.

Answer

Surveying the first 200 students who enter the library on a Monday morning.

Answer

Asking for volunteers by posting flyers around the student union.

Answer

Surveying all students in a single advanced-level biology course.

Question 6

What is the range of the following dataset representing the daily high temperatures (°F) for a week: {68, 72, 75, 65, 78, 71, 62}?

Accepted Answer

16

Answer

78

Answer

70.1

Answer

13

A teacher is analyzing the scores for a recent test: {85, 90, 88, 92, 86, 94, 32}.Which measure of central tendency would be most affected by the score of 32?

A teacher is analyzing the scores for a recent test: {85, 90, 88, 92, 86, 94, 32}.
Which measure of central tendency would be most affected by the score of 32?