Normal Distribution and Concept of Probability, Skewness and Kurtosis.%20(2).png "Multiple-choice questions on Normal Distribution and Concept of Probability, Skewness and Kurtosis | Statistics Psychology BA SEM 2 Lucknow University")
%20(2).png "Multiple-choice questions on Normal Distribution and Concept of Probability, Skewness and Kurtosis | Statistics Psychology BA SEM 2 Lucknow University")
20 multiple-choice questions on Normal Distribution and Concept of Probability, Skewness, and Kurtosis:
1. In a normal distribution, what percentage of the data
falls within one standard deviation of the mean?
A) 34%
B) 50%
C) 68%
D) 95%
Answer: C) 68%
2. The area under the normal curve represents:
A) Variance
B) Skewness
C) Probability
D) Range
Answer: C)
Probability
3. Which measure indicates the degree of symmetry in a
probability distribution?
A) Skewness
B) Kurtosis
C) Variance
D) Standard
deviation
4. A normal distribution is perfectly symmetrical around
the:
A) Median
B) Mode
C) Mean
D) Quartile
5. What is the skewness of a perfectly symmetrical
distribution?
A) 0
B) 1
C) -1
D) It cannot be
determined
6. If a dataset has a positive skewness, it means:
A) It is
symmetrical
B) Its tail
extends more to the right
C) Its tail
extends more to the left
D) It has a
kurtosis of 0
7. What does a negative skewness value indicate about a
distribution?
A) The
distribution is symmetric
B) The tail of
the distribution is heavier on the left side
C) The tail of
the distribution is heavier on the right side
D) The
distribution has high kurtosis
8. Kurtosis measures the:
A) Symmetry of a
distribution
B) Tendency of a
distribution's tails to be heavy or light
C) Spread of a
distribution
D) Skewness of a
distribution
9. What does a positive kurtosis value indicate about a
distribution?
A) The
distribution is perfectly symmetrical
B) The
distribution has heavy tails
C) The
distribution has light tails
D) The
distribution is highly skewed
10. In a normal distribution, what is the value of
kurtosis?
A) 0
B) 1
C) -1
D) It varies
11. What does a leptokurtic distribution indicate?
A) Heavy-tailed
distribution
B) Light-tailed
distribution
C) Symmetrical
distribution
D) Negative
skewness
12. What is the probability of an event that is certain
to occur?
A) 0
B) 1
C) 0.5
D) -1
13. In a standard normal distribution, what is the
probability of a z-score being less than -1.96?
A) 0.9750
B) 0.0250
C) 0.025
D) 0.95
14. What does the central limit theorem state about the
distribution of sample means?
A) They will
always follow a normal distribution
B) They will
always be skewed to the right
C) They will
approach a normal distribution as sample size increases
D) They will
approach a uniform distribution as sample size increases
Answer: C) They will approach a normal distribution as sample size increases
15. The sum of the probabilities of all possible outcomes
in a sample space is equal to:
A) 1
B) 0
C) 0.5
D) -1
16. Which of the following is NOT a characteristic of a
normal distribution?
A) Bell-shaped
curve
B) Symmetrical
around the mean
C) Mean,
median, and mode are equal
D) Long tails
on either side
17. What is the probability of an event that cannot
occur?
A) 0
B) 1
C) 0.5
D) -1
18. If two events are mutually exclusive, what is the
probability that both events occur?
A) 1
B) 0
C) 0.5
D) -1
19. What is the probability of getting a head when
flipping a fair coin?
A) 0
B) 1
C) 0.5
D) -1
Answer: C) 0.5
20. Which of the following is a measure of variability
and not a concept of probability?
A) Range
B) Probability
mass function
C) Standard
deviation
D) Skewness
Answer: A) Range
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