BUSI 230
Introduction to Probability & Statistics
Comprehensive Midterms Exam (Qns & Ans)
2025
1. Which measure is used to describe the central value of a
dataset?
- A. Range
- B. Mean
- C. Variance
- D. Standard deviation
ANS: B. Mean
Rationale: The mean is the central value of a dataset,
calculated by summing all the values and dividing by the number
of values.
©/2025
,2. What is the probability of getting a head in a single toss of a
fair coin?
- A. 0.25
- B. 0.5
- C. 0.75
- D. 1.0
ANS: B. 0.5
Rationale: The probability of getting a head in a single toss of
a fair coin is 0.5 because there are two possible outcomes (head or
tail) with equal likelihood.
Fill-in-the-Blank Questions
3. The __________ measures the spread of a dataset by
calculating the average of the squared differences from the mean.
ANS: variance
Rationale: Variance measures the spread of a dataset by
calculating the average of the squared differences from the mean,
providing insight into data variability.
©/2025
,4. In probability, the __________ rule states that the probability
of the union of two mutually exclusive events is the sum of their
individual probabilities.
ANS: addition
Rationale: The addition rule states that the probability of the
union of two mutually exclusive events is the sum of their
individual probabilities.
True/False Questions
5. True or False: A histogram is a graphical representation of the
distribution of a dataset.
ANS: True
Rationale: A histogram is a graphical representation of the
distribution of a dataset, showing the frequency of data points
within specified intervals.
6. True or False: In a normal distribution, the mean, median, and
mode are all equal.
ANS: True
©/2025
, Rationale: In a normal distribution, the mean, median, and
mode are all equal, indicating a symmetric distribution around the
central value.
Multiple Response Questions
7. Which of the following measures are used to describe the
variability of a dataset? (Select all that apply)
- A. Range
- B. Mean
- C. Variance
- D. Standard deviation
ANSs: A, C, D
Rationale: Measures used to describe the variability of a
dataset include range, variance, and standard deviation. The mean
is a measure of central tendency, not variability.
8. Which of the following are properties of a binomial
distribution? (Select all that apply)
- A. Fixed number of trials
- B. Each trial is independent
- C. Each trial has more than two possible outcomes
©/2025
Introduction to Probability & Statistics
Comprehensive Midterms Exam (Qns & Ans)
2025
1. Which measure is used to describe the central value of a
dataset?
- A. Range
- B. Mean
- C. Variance
- D. Standard deviation
ANS: B. Mean
Rationale: The mean is the central value of a dataset,
calculated by summing all the values and dividing by the number
of values.
©/2025
,2. What is the probability of getting a head in a single toss of a
fair coin?
- A. 0.25
- B. 0.5
- C. 0.75
- D. 1.0
ANS: B. 0.5
Rationale: The probability of getting a head in a single toss of
a fair coin is 0.5 because there are two possible outcomes (head or
tail) with equal likelihood.
Fill-in-the-Blank Questions
3. The __________ measures the spread of a dataset by
calculating the average of the squared differences from the mean.
ANS: variance
Rationale: Variance measures the spread of a dataset by
calculating the average of the squared differences from the mean,
providing insight into data variability.
©/2025
,4. In probability, the __________ rule states that the probability
of the union of two mutually exclusive events is the sum of their
individual probabilities.
ANS: addition
Rationale: The addition rule states that the probability of the
union of two mutually exclusive events is the sum of their
individual probabilities.
True/False Questions
5. True or False: A histogram is a graphical representation of the
distribution of a dataset.
ANS: True
Rationale: A histogram is a graphical representation of the
distribution of a dataset, showing the frequency of data points
within specified intervals.
6. True or False: In a normal distribution, the mean, median, and
mode are all equal.
ANS: True
©/2025
, Rationale: In a normal distribution, the mean, median, and
mode are all equal, indicating a symmetric distribution around the
central value.
Multiple Response Questions
7. Which of the following measures are used to describe the
variability of a dataset? (Select all that apply)
- A. Range
- B. Mean
- C. Variance
- D. Standard deviation
ANSs: A, C, D
Rationale: Measures used to describe the variability of a
dataset include range, variance, and standard deviation. The mean
is a measure of central tendency, not variability.
8. Which of the following are properties of a binomial
distribution? (Select all that apply)
- A. Fixed number of trials
- B. Each trial is independent
- C. Each trial has more than two possible outcomes
©/2025
