BSEP Statistics, Central Tendency, and Basic Probability — Questions and Answers
Question 1: What is the mean (average) of the numbers 6, 10, 14, and 18?
- 12 (Correct answer)
- 10
- 14
- 48
Correct answer: 12
Add all values: 6 + 10 + 14 + 18 = 48. Divide by the count of values: 48 ÷ 4 = 12.
Question 2: What is the median of the data set: 3, 7, 9, 15, 20?
- 9 (Correct answer)
- 7
- 15
- 10.8
Correct answer: 9
The median is the middle value when data is arranged in order. With 5 values, the middle (3rd) value is 9.
Question 3: In the set {2, 4, 4, 6, 8, 4}, what is the mode?
- 4 (Correct answer)
- 6
- 2
- 8
Correct answer: 4
The mode is the value that appears most often. The number 4 appears three times, more than any other value.
Question 4: What is the range of the data set: 12, 5, 9, 18, 3?
- 15 (Correct answer)
- 9
- 12
- 18
Correct answer: 15
Range = maximum value − minimum value. Maximum is 18, minimum is 3: 18 − 3 = 15.
Question 5: A bag contains 4 red marbles and 6 blue marbles. If one marble is chosen at random, what is the probability it is red?
- 2/5 (Correct answer)
- 3/5
- 1/4
- 1/6
Correct answer: 2/5
Total marbles = 4 + 6 = 10. Probability of red = favorable outcomes ÷ total outcomes = 4/10 = 2/5.
Question 6: A standard die is rolled once. What is the probability of rolling a number greater than 4?
- 1/3 (Correct answer)
- 1/2
- 2/3
- 1/6
Correct answer: 1/3
Numbers greater than 4 on a standard die: 5 and 6 = 2 outcomes. Total outcomes = 6. Probability = 2/6 = 1/3.
BSEP Statistics, Central Tendency, and Basic Probability
What is the mean (average) of the numbers 6, 10, 14, and 18?