MULTIPLE-CHOICE QUESTIONS WITH ANSWERS RELATED TO MEASURES OF CENTRAL TENDENCY, DISPERSION, AND SKEWNESS

What is the measure of central tendency that represents the middle value of a dataset?
A) Mean
B) Median
C) Mode
D) Standard Deviation
Answer: B) Median

In a positively skewed distribution, where do the majority of values lie in relation to the mean?
A) Majority of values are below the mean
B) Majority of values are above the mean
C) Majority of values are equal to the mean
D) Majority of values are spread symmetrically around the mean
Answer: A) Majority of values are below the mean

If the coefficient of variation of two sets of data is compared, what can be inferred if Set A has a lower coefficient of variation than Set B?
A) Set A has less variability than Set B
B) Set A has more variability than Set B
C) Set A and Set B have the same variability
D) No conclusion can be drawn
Answer: A) Set A has less variability than Set B

Which measure of dispersion is most influenced by extreme values in a dataset?
A) Range
B) Standard Deviation
C) Variance
D) Coefficient of Variation
Answer: A) Range

The mean of the following dataset: 10, 15, 20, 25, 30 is:
A) 20
B) 22.5
C) 25
D) 27.5
Answer: B) 22.5

Which of the following measures is robust to outliers?
A) Mean
B) Median
C) Mode
D) Variance
Answer: B) Median

In a symmetric distribution, which measure of central tendency coincides with the mode and median?
A) Mean
B) Median
C) Mode
D) Variance
Answer: B) Median

What does a positive value of skewness indicate?
A) Data is symmetric
B) Data is negatively skewed
C) Data is positively skewed
D) No conclusion can be drawn
Answer: C) Data is positively skewed

Which measure of dispersion provides the most precise description of variability?
A) Range
B) Interquartile Range
C) Standard Deviation
D) Variance
Answer: C) Standard Deviation

The most frequently occurring value in a dataset is represented by:
A) Mean
B) Median
C) Mode
D) Standard Deviation
Answer: C) Mode

If the mean and median of a dataset are equal, what does this suggest about the distribution?
A) It is symmetric
B) It is positively skewed
C) It is negatively skewed
D) No conclusion can be drawn
Answer: A) It is symmetric

Which measure of central tendency is affected the most by extreme values?
A) Mean
B) Median
C) Mode
D) Variance
Answer: A) Mean

Which of the following measures of dispersion is calculated using quartiles?
A) Range
B) Interquartile Range
C) Variance
D) Standard Deviation
Answer: B) Interquartile Range

The range of the following dataset: 5, 10, 15, 20, 25 is:
A) 20
B) 15
C) 10
D) 5
Answer: A) 20

In a dataset, if the coefficient of variation is 0, what does this indicate?
A) There is no variability
B) There is high variability
C) There is low variability
D) There is perfect symmetry
Answer: A) There is no variability

What does a negative value of skewness indicate?
A) Data is symmetric
B) Data is negatively skewed
C) Data is positively skewed
D) No conclusion can be drawn
Answer: B) Data is negatively skewed

Which measure of central tendency is not affected by extreme values?
A) Mean
B) Median
C) Mode
D) Standard Deviation
Answer: B) Median

What is the variance of the following dataset: 2, 4, 6, 8, 10?
A) 8
B) 7
C) 5
D) 4
Answer: D) 4

Which of the following is a measure of relative variability?
A) Range
B) Variance
C) Coefficient of Variation
D) Standard Deviation
Answer: C) Coefficient of Variation

If a distribution is symmetric, what can be said about the relationship between the mean and the median?
A) They are equal
B) The mean is greater than the median
C) The median is greater than the mean
D) No conclusion can be drawn
Answer: A) They are equal

What measure of central tendency is most appropriate for nominal data?
A) Mean
B) Median
C) Mode
D) Standard Deviation
Answer: C) Mode

Which of the following is a measure of relative variability?
A) Range
B) Interquartile Range
C) Coefficient of Variation
D) Variance
Answer: C) Coefficient of Variation

If a distribution is perfectly symmetrical, what is the value of its skewness?
A) 0
B) 1
C) -1
D) No specific value
Answer: A) 0

Which measure of dispersion is affected the least by extreme values?
A) Range
B) Standard Deviation
C) Variance
D) Interquartile Range
Answer: D) Interquartile Range

What does a skewness of 0 indicate?
A) Data is symmetric
B) Data is positively skewed
C) Data is negatively skewed
D) No conclusion can be drawn
Answer: A) Data is symmetric

Which of the following measures is sensitive to outliers?
A) Mean
B) Median
C) Mode
D) Interquartile Range
Answer: A) Mean

If the range of a dataset is 20 and the mean is 15, what is the value of the standard deviation?
A) 10
B) 5
C) 20
D) Not calculable with the given information
Answer: D) Not calculable with the given information

Which measure of central tendency is affected the least by extreme values?
A) Mean
B) Median
C) Mode
D) Standard Deviation
Answer: B) Median

The interquartile range represents the range of what percentage of the data?
A) 25%
B) 50%
C) 75%
D) 100%
Answer: B) 50%

Which measure of central tendency is not affected by outliers?
A) Mean
B) Median
C) Mode
D) Standard Deviation
Answer: B) Median

In a perfectly symmetric distribution, which of the following measures would be equal?
A) Mean and Median
B) Median and Mode
C) Mode and Mean
D) Mean, Median, and Mode
Answer: A) Mean and Median

The interquartile range is calculated as the difference between which two quartiles?
A) First and Second
B) Second and Third
C) Third and Fourth
D) Fourth and Fifth
Answer: B) Second and Third

What does a skewness of -1 indicate?
A) Data is symmetric
B) Data is positively skewed
C) Data is negatively skewed
D) No conclusion can be drawn
Answer: B) Data is positively skewed

If the coefficient of variation of a dataset is 0.2, what does this indicate about the variability of the data?
A) Low variability
B) Moderate variability
C) High variability
D) No variability
Answer: A) Low variability

The median of a dataset is unaffected by:
A) Extreme values
B) Variability
C) Skewness
D) Mean
Answer: A) Extreme values

Which of the following is a measure of dispersion?
A) Mean
B) Median
C) Range
D) Mode
Answer: C) Range

What does a positive value of skewness indicate?
A) Data is symmetric
B) Data is negatively skewed
C) Data is positively skewed
D) No conclusion can be drawn
Answer: C) Data is positively skewed

The mode is:
A) The most frequently occurring value
B) The middle value
C) The average of all values
D) Not related to the frequency of occurrence
Answer: A) The most frequently occurring value

In a left-skewed distribution, where do the majority of values lie in relation to the mean?
A) Majority of values are below the mean
B) Majority of values are above the mean
C) Majority of values are equal to the mean
D) Majority of values are spread symmetrically around the mean
Answer: B) Majority of values are above the mean

Which measure of central tendency is most affected by outliers?
A) Mean
B) Median
C) Mode
D) Standard Deviation
Answer: A) Mean

In a right-skewed distribution, where do the majority of values lie in relation to the mean?
A) Majority of values are below the mean
B) Majority of values are above the mean
C) Majority of values are equal to the mean
D) Majority of values are spread symmetrically around the mean
Answer: A) Majority of values are below the mean

Which measure of central tendency is best suited for ordinal data?
A) Mean
B) Median
C) Mode
D) Standard Deviation
Answer: B) Median

If the standard deviation of a dataset is 0, what does this indicate?
A) No variability in the data
B) High variability in the data
C) Low variability in the data
D) Symmetric distribution
Answer: A) No variability in the data

Which of the following measures is not influenced by extreme values?
A) Mean
B) Median
C) Mode
D) Variance
Answer: B) Median

What is the measure of central tendency that represents the value that occurs most frequently in a dataset?
A) Mean
B) Median
C) Mode
D) Standard Deviation
Answer: C) Mode

What does a skewness of 0 indicate?
A) Data is symmetric
B) Data is negatively skewed
C) Data is positively skewed
D) No conclusion can be drawn
Answer: A) Data is symmetric

Which of the following is a measure of relative variability?
A) Range
B) Variance
C) Coefficient of Variation
D) Standard Deviation
Answer: C) Coefficient of Variation

The interquartile range represents the range of what percentage of the data?
A) 25%
B) 50%
C) 75%
D) 100%
Answer: B) 50%

What measure of central tendency is most appropriate for nominal data?
A) Mean
B) Median
C) Mode
D) Standard Deviation
Answer: C) Mode

In a perfectly symmetric distribution, which of the following measures would be equal?
A) Mean and Median
B) Median and Mode
C) Mode and Mean
D) Mean, Median, and Mode
Answer: A) Mean and Median