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BASIC STATISTICS [STA1510] EXAM PACK
2024 LATEST WITH RATIONALES
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s
1. What is the mean of the following data set? 4, 8, 6, 5, 3
o A) 4
o B) 5
o C) 5.2
o D) 6
o Answer: C) 5.2
Rationale: Mean = (4 + 8 + 6 + 5 + 3) / 5 = = 5.2.
2. Which measure of central tendency is most affected by outliers?
o A) Mean
o B) Median
o C) Mode
o D) Range
o Answer: A) Mean
Rationale: The mean can be significantly skewed by extreme values, while the
median is resistant to outliers.
3. If a data set has a variance of 16, what is the standard deviation?
o A) 4
o B) 8
o C) 2
o D) 16
o Answer: A) 4
Rationale: Standard deviation is the square root of the variance, so √16 = 4.
4. What does a p-value of 0.05 indicate in hypothesis testing?
o A) There is a 5% chance the null hypothesis is true.
o B) There is a 5% probability of making a Type I error.
o C) The results are statistically significant.
o D) All of the above.
o Answer: D) All of the above.
Rationale: A p-value of 0.05 indicates a 5% chance of observing the data if the
null hypothesis is true, and results are considered statistically significant if this
threshold is met.
5. Which of the following is a measure of variability?
o A) Mean
o B) Median
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o C) Mode
o D) Standard Deviation
o Answer: D) Standard Deviation
Rationale: Standard deviation measures the spread of data points around the
mean.
6. What is the purpose of a confidence interval?
o A) To determine the mean of a population
o B) To estimate the range in which a population parameter lies
o C) To conduct hypothesis testing
o D) To summarize data
o Answer: B) To estimate the range in which a population parameter lies
Rationale: Confidence intervals provide a range of values that likely contain the
true population parameter.
7. In a normal distribution, what percentage of data falls within one standard
deviation of the mean?
o A) 50%
o B) 68%
o C) 95%
o D) 99.7%
o Answer: B) 68%
Rationale: Approximately 68% of the data in a normal distribution falls within
one standard deviation of the mean.
8. If the median of a data set is 10, what does this indicate?
o A) The average of all data points is 10.
o B) Half of the data points are below 10.
o C) All data points are equal to 10.
o D) The range of the data set is 10.
o Answer: B) Half of the data points are below 10.
Rationale: The median is the middle value, meaning half of the observations are
less than this value.
9. Which of the following distributions is symmetric?
o A) Normal distribution
o B) Skewed left distribution
o C) Skewed right distribution
o D) Uniform distribution
o Answer: A) Normal distribution
Rationale: The normal distribution is bell-shaped and symmetric about the mean.
10. What is the primary purpose of descriptive statistics?
o A) To make inferences about a population
o B) To summarize and describe data
o C) To test hypotheses
o D) To predict future trends
o Answer: B) To summarize and describe data
Rationale: Descriptive statistics provide simple summaries about the sample and
measures.
11. In a box plot, what does the line inside the box represent?
BULLETIN
,1|Page
BASIC STATISTICS [STA1510] EXAM PACK
2024 LATEST WITH RATIONALES
GUARANTEED A+
s
1. What is the mean of the following data set? 4, 8, 6, 5, 3
o A) 4
o B) 5
o C) 5.2
o D) 6
o Answer: C) 5.2
Rationale: Mean = (4 + 8 + 6 + 5 + 3) / 5 = = 5.2.
2. Which measure of central tendency is most affected by outliers?
o A) Mean
o B) Median
o C) Mode
o D) Range
o Answer: A) Mean
Rationale: The mean can be significantly skewed by extreme values, while the
median is resistant to outliers.
3. If a data set has a variance of 16, what is the standard deviation?
o A) 4
o B) 8
o C) 2
o D) 16
o Answer: A) 4
Rationale: Standard deviation is the square root of the variance, so √16 = 4.
4. What does a p-value of 0.05 indicate in hypothesis testing?
o A) There is a 5% chance the null hypothesis is true.
o B) There is a 5% probability of making a Type I error.
o C) The results are statistically significant.
o D) All of the above.
o Answer: D) All of the above.
Rationale: A p-value of 0.05 indicates a 5% chance of observing the data if the
null hypothesis is true, and results are considered statistically significant if this
threshold is met.
5. Which of the following is a measure of variability?
o A) Mean
o B) Median
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o C) Mode
o D) Standard Deviation
o Answer: D) Standard Deviation
Rationale: Standard deviation measures the spread of data points around the
mean.
6. What is the purpose of a confidence interval?
o A) To determine the mean of a population
o B) To estimate the range in which a population parameter lies
o C) To conduct hypothesis testing
o D) To summarize data
o Answer: B) To estimate the range in which a population parameter lies
Rationale: Confidence intervals provide a range of values that likely contain the
true population parameter.
7. In a normal distribution, what percentage of data falls within one standard
deviation of the mean?
o A) 50%
o B) 68%
o C) 95%
o D) 99.7%
o Answer: B) 68%
Rationale: Approximately 68% of the data in a normal distribution falls within
one standard deviation of the mean.
8. If the median of a data set is 10, what does this indicate?
o A) The average of all data points is 10.
o B) Half of the data points are below 10.
o C) All data points are equal to 10.
o D) The range of the data set is 10.
o Answer: B) Half of the data points are below 10.
Rationale: The median is the middle value, meaning half of the observations are
less than this value.
9. Which of the following distributions is symmetric?
o A) Normal distribution
o B) Skewed left distribution
o C) Skewed right distribution
o D) Uniform distribution
o Answer: A) Normal distribution
Rationale: The normal distribution is bell-shaped and symmetric about the mean.
10. What is the primary purpose of descriptive statistics?
o A) To make inferences about a population
o B) To summarize and describe data
o C) To test hypotheses
o D) To predict future trends
o Answer: B) To summarize and describe data
Rationale: Descriptive statistics provide simple summaries about the sample and
measures.
11. In a box plot, what does the line inside the box represent?
