MPT Applied Concepts 4

Question 1

The test scores of 5 students are 72, 85, 90, 68, and 80. What is the mean score?

Accepted Answer

79

Answer

Mean = (72 + 85 + 90 + 68 + 80) ÷ 5 = 395 ÷ 5 = 79.

Question 2

The ages of 7 people are: 14, 22, 17, 22, 31, 19, 22. What is the mode?

Accepted Answer

22

Answer

22 appears three times, which is more than any other value, making it the mode.

Question 3

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

Accepted Answer

1/5

Answer

P(green) = 2 ÷ 10 = 1/5.

Question 4

What is the median of the data set {3, 7, 9, 12, 15}?

Accepted Answer

9

Answer

The data is already ordered; the middle (third) value is 9.

Question 5

A student scored 78, 85, and 91 on three tests. What score on the fourth test gives an average of exactly 85?

Accepted Answer

86

Answer

Target total = 85 × 4 = 340; fourth score = 340 − (78 + 85 + 91) = 340 − 254 = 86.

(MPT) UCF Math Placement Test Practice Test