West B Test West B Math: Data Analysis and Statistics 1 — Questions and Answers
Question 1: The test scores of five students are: 72, 85, 90, 68, and 95. What is the mean (average) score?
- 82 (Correct answer)
- 85
- 90
- 78
Correct answer: 82
The mean is (72+85+90+68+95) ÷ 5 = 410 ÷ 5 = 82.
Question 2: In the data set {3, 7, 7, 9, 12, 15}, what is the mode?
- 9
- 7 (Correct answer)
- 12
- 3
Correct answer: 7
The mode is the value that appears most often; 7 appears twice while all others appear once.
Question 3: A bar graph shows four categories with values 10, 25, 15, and 30. Which category has the highest value?
- The category with value 10
- The category with value 25
- The category with value 15
- The category with value 30 (Correct answer)
Correct answer: The category with value 30
30 is the largest value among 10, 25, 15, and 30, so that category is tallest on the bar graph.
Question 4: What does the median represent in a data set?
- The most frequently occurring value
- The middle value when data is ordered (Correct answer)
- The difference between the highest and lowest values
- The sum of all values divided by the count
Correct answer: The middle value when data is ordered
The median is the middle value in a data set that has been arranged in order from least to greatest.
Question 5: A pie chart shows that 40% of students prefer math, 35% prefer reading, and 25% prefer science. What percentage prefer either math or science?
- 65% (Correct answer)
- 75%
- 60%
- 40%
Correct answer: 65%
Adding math (40%) and science (25%) gives 65% of students preferring either math or science.
Question 6: The range of a data set is calculated by:
- Dividing the sum by the number of values
- Subtracting the lowest value from the highest value (Correct answer)
- Finding the middle value when ordered
- Identifying the most repeated value
Correct answer: Subtracting the lowest value from the highest value
Range measures the spread of data and equals the highest value minus the lowest value.
West B Test West B Math: Data Analysis and Statistics 1
The test scores of five students are: 72, 85, 90, 68, and 95.
What is the mean (average) score?