Set of over 200 questions and answers
covering MAT 102 – Statistics. Topics include:
Descriptive Statistics, Probability, Random
Variables, Discrete & Continuous Distributions,
Sampling Distributions, Estimation, Hypothesis
Testing, Correlation, Regression, and ANOVA.
PART 1: DESCRIPTIVE STATISTICS
1. What is the mean of the numbers 4, 8, 6, 5, 3?
Answer: 5.2
2. Calculate the median of the dataset: 12, 15, 3, 8, 9, 11, 7.
Answer: 9
3. Find the mode of the dataset: 2, 4, 6, 4, 8, 4, 10.
Answer: 4
4. What is the range of the dataset: 23, 45, 12, 56, 78, 34?
Answer: 66
5. Compute the variance of the population: 2, 4, 6, 8, 10.
Answer: 8
,6. Compute the sample variance of: 3, 7, 8, 5, 12.
Answer: 12.3
7. Find the standard deviation of the sample: 10, 12, 23, 23, 16, 23, 21, 16.
Answer: 5.0 (approx)
8. The interquartile range (IQR) for the data 1, 3, 5, 7, 9, 11, 13, 15 is:
Answer: 8
9. What is the coefficient of variation if the mean is 50 and standard deviation is 10?
Answer: 20%
10. The 75th percentile of the dataset 10, 20, 30, 40, 50, 60 is:
Answer: 50
11. In a box plot, what does the “box” represent?
Answer: The interquartile range (IQR)
12. What is the shape of a distribution with mean < median?
Answer: Negatively skewed (left-skewed)
13. What is the sum of deviations from the mean for any dataset?
Answer: 0
14. A dataset has Q1 = 20, Q3 = 50. What is the upper fence for outliers?
Answer: 95
15. Which measure of central tendency is most affected by outliers?
Answer: Mean
, 16. In a symmetric distribution, the mean, median, and mode are:
Answer: Equal
17. The standard deviation of the numbers 5, 5, 5, 5 is:
Answer: 0
18. If all values are multiplied by 3, the new variance becomes:
Answer: 9 times the original variance
19. If a constant 5 is added to each observation, the standard deviation:
Answer: Remains unchanged
20. What is the empirical rule for a normal distribution?
Answer: 68% within 1 SD, 95% within 2 SDs, 99.7% within 3 SDs
21. What is a z-score?
Answer: The number of standard deviations a value is from the mean
22. Find the z-score for x = 80, mean = 70, SD = 5.
Answer: 2
23. What is the 50th percentile equivalent to?
Answer: Median
24. What is the sum of frequencies for all classes in a frequency distribution?
Answer: Total number of observations
25. Which graph is best for showing the relationship between two quantitative variables?
covering MAT 102 – Statistics. Topics include:
Descriptive Statistics, Probability, Random
Variables, Discrete & Continuous Distributions,
Sampling Distributions, Estimation, Hypothesis
Testing, Correlation, Regression, and ANOVA.
PART 1: DESCRIPTIVE STATISTICS
1. What is the mean of the numbers 4, 8, 6, 5, 3?
Answer: 5.2
2. Calculate the median of the dataset: 12, 15, 3, 8, 9, 11, 7.
Answer: 9
3. Find the mode of the dataset: 2, 4, 6, 4, 8, 4, 10.
Answer: 4
4. What is the range of the dataset: 23, 45, 12, 56, 78, 34?
Answer: 66
5. Compute the variance of the population: 2, 4, 6, 8, 10.
Answer: 8
,6. Compute the sample variance of: 3, 7, 8, 5, 12.
Answer: 12.3
7. Find the standard deviation of the sample: 10, 12, 23, 23, 16, 23, 21, 16.
Answer: 5.0 (approx)
8. The interquartile range (IQR) for the data 1, 3, 5, 7, 9, 11, 13, 15 is:
Answer: 8
9. What is the coefficient of variation if the mean is 50 and standard deviation is 10?
Answer: 20%
10. The 75th percentile of the dataset 10, 20, 30, 40, 50, 60 is:
Answer: 50
11. In a box plot, what does the “box” represent?
Answer: The interquartile range (IQR)
12. What is the shape of a distribution with mean < median?
Answer: Negatively skewed (left-skewed)
13. What is the sum of deviations from the mean for any dataset?
Answer: 0
14. A dataset has Q1 = 20, Q3 = 50. What is the upper fence for outliers?
Answer: 95
15. Which measure of central tendency is most affected by outliers?
Answer: Mean
, 16. In a symmetric distribution, the mean, median, and mode are:
Answer: Equal
17. The standard deviation of the numbers 5, 5, 5, 5 is:
Answer: 0
18. If all values are multiplied by 3, the new variance becomes:
Answer: 9 times the original variance
19. If a constant 5 is added to each observation, the standard deviation:
Answer: Remains unchanged
20. What is the empirical rule for a normal distribution?
Answer: 68% within 1 SD, 95% within 2 SDs, 99.7% within 3 SDs
21. What is a z-score?
Answer: The number of standard deviations a value is from the mean
22. Find the z-score for x = 80, mean = 70, SD = 5.
Answer: 2
23. What is the 50th percentile equivalent to?
Answer: Median
24. What is the sum of frequencies for all classes in a frequency distribution?
Answer: Total number of observations
25. Which graph is best for showing the relationship between two quantitative variables?
