THEA THEA Geometry & Data Analysis 2 — Questions and Answers
Question 1: A data set contains the values: 4, 7, 7, 9, 13. What is the median?
- 4
- 7 (Correct answer)
- 9
- 13
Correct answer: 7
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?
- 25
- 30 (Correct answer)
- 35
- 40
Correct answer: 30
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?
- 20%
- 25% (Correct answer)
- 30%
- 35%
Correct answer: 25%
Total students = 40 + 25 + 35 = 100; 25 ÷ 100 = 25%.
Question 4: Which measure of central tendency is most affected by extreme outlier values?
- Median
- Mode
- Mean (Correct answer)
- Range
Correct answer: Mean
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?
- 3/8
- 5/8 (Correct answer)
- 3/5
- 5/3
Correct answer: 5/8
Probability = favorable outcomes ÷ total outcomes = 5 ÷ (5 + 3) = 5/8.
Question 6: What is the mode of the data set: 3, 7, 3, 9, 7, 3, 5?
- 3 (Correct answer)
- 5
- 7
- 9
Correct answer: 3
The mode is the value that appears most frequently; 3 appears three times, more than any other value.
THEA THEA Geometry & Data Analysis 2
A data set contains the values: 4, 7, 7, 9, 13.
What is the median?