THEA THEA Geometry & Data Analysis 2

Question 1

A data set contains the values: 4, 7, 7, 9, 13. What is the median?

Accepted Answer

7

Answer

The median is the middle value when data is ordered; with 5 values, the 3rd value (7) is the median.

Question 2

What is the mean of the data set: 10, 20, 30, 40, 50?

Accepted Answer

30

Answer

Mean = sum ÷ count = (10 + 20 + 30 + 40 + 50) ÷ 5 = 150 ÷ 5 = 30.

Question 3

A bar graph shows 40 students prefer math, 25 prefer science, and 35 prefer English. What percentage prefer science?

Accepted Answer

25%

Answer

Total students = 40 + 25 + 35 = 100; 25 ÷ 100 = 25%.

Question 4

Which measure of central tendency is most affected by extreme outlier values?

Accepted Answer

Mean

Answer

The mean is calculated using all values, so a single extreme outlier can significantly raise or lower the average.

Question 5

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

Accepted Answer

5/8

Answer

Probability = favorable outcomes ÷ total outcomes = 5 ÷ (5 + 3) = 5/8.

THEA Test Practice Test