MoGEA Test Statistics, Probability, and Data Analysis

Question 1

What is the mean of the data set: 4, 7, 9, 12, 8?

Accepted Answer

8

Answer

Mean = sum ÷ count = (4+7+9+12+8) ÷ 5 = 40 ÷ 5 = 8.

Question 2

In the data set 3, 5, 7, 7, 9, 11, what is the median?

Accepted Answer

7

Answer

With an even number of values, the median is the average of the two middle values: (7+7)÷2 = 7.

Question 3

A bag has 4 red and 6 blue balls. What is the probability of randomly picking a red ball?

Accepted Answer

2/5

Answer

P(red) = 4 red ÷ 10 total = 4/10 = 2/5.

Question 4

Which measure of central tendency is most affected by extreme outliers?

Accepted Answer

Mean

Answer

The mean is calculated using all values, so extreme outliers significantly pull it up or down.

Question 5

A bar graph shows test scores for 5 students: 70, 85, 90, 75, 80. What is the range?

Accepted Answer

20

Answer

Range = maximum − minimum = 90 − 70 = 20.

MoGEA Test Practice Test