MoGEA Test Statistics, Probability, and Data Analysis 1 — Questions and Answers
Question 1: What is the mean of the data set: 4, 7, 9, 12, 8?
- 7
- 8 (Correct answer)
- 9
- 10
Correct answer: 8
Mean = sum ÷ count = (4+7+9+12+8) ÷ 5 = 40 ÷ 5 = 8.
Question 2: In the data set 3, 5, 7, 7, 9, 11, what is the median?
- 7 (Correct answer)
- 7.5
- 8
- 6
Correct answer: 7
With an even number of values, the median is the average of the two middle values: (7+7)÷2 = 7.
Question 3: A bag has 4 red and 6 blue balls. What is the probability of randomly picking a red ball?
- 1/4
- 2/5 (Correct answer)
- 3/5
- 2/3
Correct answer: 2/5
P(red) = 4 red ÷ 10 total = 4/10 = 2/5.
Question 4: Which measure of central tendency is most affected by extreme outliers?
- Mode
- Median
- Mean (Correct answer)
- Range
Correct answer: Mean
The mean is calculated using all values, so extreme outliers significantly pull it up or down.
Question 5: A bar graph shows test scores for 5 students: 70, 85, 90, 75, 80. What is the range?
- 15
- 20 (Correct answer)
- 25
- 30
Correct answer: 20
Range = maximum − minimum = 90 − 70 = 20.
Question 6: Two events are independent if:
- The outcome of one affects the probability of the other.
- They cannot both occur at the same time.
- The outcome of one does not affect the probability of the other. (Correct answer)
- They must both occur together.
Correct answer: The outcome of one does not affect the probability of the other.
Independent events are those where the occurrence of one has no effect on the probability of the other occurring.
MoGEA Test Statistics, Probability, and Data Analysis 1
What is the mean of the data set: 4, 7, 9, 12, 8?