OPRE 3360 Exam 1 Questions With Complete Solutions
OPRE 3360
1. Types of Data
Question:
Which of the following is an example of categorical (qualitative) data?
A. Annual income
B. Number of customers
C. Customer satisfaction level (low, medium, high)
D. Time to complete a task
Correct Answer: C
Solution:
Categorical data represents labels or categories, not numerical measurements.
“Low, medium, high” are categories.
2. Population vs Sample
Question:
A company surveys 200 out of 5,000 customers to estimate average satisfaction.
The 200 customers represent the:
A. Population
B. Sample
C. Parameter
D. Census
Correct Answer: B
Solution:
A sample is a subset taken from a larger population.
3. Mean Calculation
Question:
Find the mean of the following data set:
4, 6, 10, 10
, Solution:
Sum = 4 + 6 + 10 + 10 = 30
Number of observations = 4
Mean = 30 ÷ 4 = 7.5
Answer: 7.5
4. Median and Mode
Question:
For the data set:
2, 4, 6, 6, 9
What are the median and mode?
Solution:
Ordered data: 2, 4, 6, 6, 9
Median = middle value = 6
Mode = most frequent value = 6
Answer:
Median = 6, Mode = 6
5. Effect of an Outlier
Question:
Which measure of central tendency is most affected by extreme values?
A. Mean
B. Median
C. Mode
D. Range
Correct Answer: A
Solution:
The mean is sensitive to outliers, while the median and mode are more resistant.
6. Variance and Standard Deviation (Conceptual)
OPRE 3360
1. Types of Data
Question:
Which of the following is an example of categorical (qualitative) data?
A. Annual income
B. Number of customers
C. Customer satisfaction level (low, medium, high)
D. Time to complete a task
Correct Answer: C
Solution:
Categorical data represents labels or categories, not numerical measurements.
“Low, medium, high” are categories.
2. Population vs Sample
Question:
A company surveys 200 out of 5,000 customers to estimate average satisfaction.
The 200 customers represent the:
A. Population
B. Sample
C. Parameter
D. Census
Correct Answer: B
Solution:
A sample is a subset taken from a larger population.
3. Mean Calculation
Question:
Find the mean of the following data set:
4, 6, 10, 10
, Solution:
Sum = 4 + 6 + 10 + 10 = 30
Number of observations = 4
Mean = 30 ÷ 4 = 7.5
Answer: 7.5
4. Median and Mode
Question:
For the data set:
2, 4, 6, 6, 9
What are the median and mode?
Solution:
Ordered data: 2, 4, 6, 6, 9
Median = middle value = 6
Mode = most frequent value = 6
Answer:
Median = 6, Mode = 6
5. Effect of an Outlier
Question:
Which measure of central tendency is most affected by extreme values?
A. Mean
B. Median
C. Mode
D. Range
Correct Answer: A
Solution:
The mean is sensitive to outliers, while the median and mode are more resistant.
6. Variance and Standard Deviation (Conceptual)