Math Math Statistics and Data Analysis 1 — Questions and Answers
Question 1: What is the mean of the data set: 4, 8, 6, 10, 12?
- 8 (Correct answer)
- 6
- 10
- 9
Correct answer: 8
Mean = (4 + 8 + 6 + 10 + 12) ÷ 5 = 40 ÷ 5 = 8.
Question 2: What is the median of the data set: 3, 7, 2, 9, 5?
- 5 (Correct answer)
- 7
- 3
- 2
Correct answer: 5
Ordered: 2, 3, 5, 7, 9 — the middle value is 5.
Question 3: A bag contains 3 red, 5 blue, and 2 green marbles. What is the probability of drawing a blue marble?
- 1/2 (Correct answer)
- 1/3
- 1/5
- 2/5
Correct answer: 1/2
P(blue) = 5 ÷ (3 + 5 + 2) = 5/10 = 1/2.
Question 4: What is the mode of the data set: 4, 7, 4, 9, 7, 4, 3?
- 4 (Correct answer)
- 7
- 3
- 9
Correct answer: 4
4 appears three times, more than any other value, so it is the mode.
Question 5: What is the range of the data set: 15, 3, 22, 8, 17?
- 19 (Correct answer)
- 15
- 22
- 13
Correct answer: 19
Range = maximum − minimum = 22 − 3 = 19.
Question 6: A student scored 72, 85, 90, and 63 on four tests. What is the mean score?
- 77.5 (Correct answer)
- 78
- 75
- 80
Correct answer: 77.5
Mean = (72 + 85 + 90 + 63) ÷ 4 = 310 ÷ 4 = 77.5.
Math Math Statistics and Data Analysis 1
What is the mean of the data set: 4, 8, 6, 10, 12?