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Applied Probability and Statistic Final Practice
Exam With Complete 200+ Questions And
Correct Detailed Answers |Already Graded
A(Newest Version!)
Question 1
In a dataset, the mean is 50, the median is 45, and the mode is
40. The distribution is:
A) Symmetric
B) Positively skewed (right-skewed)
C) Negatively skewed (left-skewed)
D) Bimodal
Answer: B
Rationale: When mean > median > mode, the distribution has a
longer right tail (positive skew). The mean is pulled toward the
tail.
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Question 2
The variance of a dataset is 36. The standard deviation is:
A) 6
B) 18
C) 9
D) 1,296
Answer: A
Rationale: Standard deviation = √variance = √36 = 6.
Variance is the average squared deviation from the mean.
Question 3
Which measure of central tendency is most affected by outliers?
A) Median
B) Mode
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C) Mean
D) Interquartile range
Answer: C
Rationale: The mean incorporates all data points; extreme
values pull the mean away from the center. Median and mode
are resistant.
Question 4
The interquartile range (IQR) is defined as:
A) Q3 – Q1
B) Q2 – Q1
C) Maximum – Minimum
D) (Q3 – Q1)/2
Answer: A
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Rationale: IQR = third quartile (75th percentile) minus first
quartile (25th percentile). It measures the spread of the middle
50%.
Question 5
A dataset has Q1 = 20, Q3 = 40. An outlier is defined as any
value less than:
A) 5
B) 10
C) –10
D) 0
Answer: C
Rationale: IQR = 40 – 20 = 20. Lower outlier boundary = Q1 –
1.5 × IQR = 20 – 30 = –10. Values below –10 are outliers.
Applied Probability and Statistic Final Practice
Exam With Complete 200+ Questions And
Correct Detailed Answers |Already Graded
A(Newest Version!)
Question 1
In a dataset, the mean is 50, the median is 45, and the mode is
40. The distribution is:
A) Symmetric
B) Positively skewed (right-skewed)
C) Negatively skewed (left-skewed)
D) Bimodal
Answer: B
Rationale: When mean > median > mode, the distribution has a
longer right tail (positive skew). The mean is pulled toward the
tail.
,Page 2 of 41
Question 2
The variance of a dataset is 36. The standard deviation is:
A) 6
B) 18
C) 9
D) 1,296
Answer: A
Rationale: Standard deviation = √variance = √36 = 6.
Variance is the average squared deviation from the mean.
Question 3
Which measure of central tendency is most affected by outliers?
A) Median
B) Mode
,Page 3 of 41
C) Mean
D) Interquartile range
Answer: C
Rationale: The mean incorporates all data points; extreme
values pull the mean away from the center. Median and mode
are resistant.
Question 4
The interquartile range (IQR) is defined as:
A) Q3 – Q1
B) Q2 – Q1
C) Maximum – Minimum
D) (Q3 – Q1)/2
Answer: A
, Page 4 of 41
Rationale: IQR = third quartile (75th percentile) minus first
quartile (25th percentile). It measures the spread of the middle
50%.
Question 5
A dataset has Q1 = 20, Q3 = 40. An outlier is defined as any
value less than:
A) 5
B) 10
C) –10
D) 0
Answer: C
Rationale: IQR = 40 – 20 = 20. Lower outlier boundary = Q1 –
1.5 × IQR = 20 – 30 = –10. Values below –10 are outliers.
