ALEKS Statistics and Probability

Question 1

What is the mean of the data set: 4, 7, 10, 13, 16?

Accepted Answer

10

Answer

Mean = (4 + 7 + 10 + 13 + 16) ÷ 5 = 50 ÷ 5 = 10.

Question 2

What is the median of: 3, 7, 9, 12, 15, 18?

Accepted Answer

10.5

Answer

With 6 values, the median is the average of the 3rd and 4th: (9 + 12)/2 = 10.5.

Question 3

A bag has 3 red, 5 blue, and 2 green marbles. What is the probability of picking a blue marble?

Accepted Answer

1/2

Answer

P(blue) = 5/10 = 1/2.

Question 4

What is the mode of: 2, 4, 4, 6, 7, 9, 9, 9?

Accepted Answer

9

Answer

9 appears three times, more than any other value, making it the mode.

Question 5

Two fair coins are tossed. What is the probability of getting exactly one head?

Accepted Answer

1/2

Answer

Outcomes with exactly one head: HT, TH — that's 2 out of 4 total outcomes = 1/2.

ALEKS - Assessment and Learning in Knowledge Spaces Practice Test