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Chapter:

50+ Measures of Central Tendency and Dispersion Solved MCQs

in Statistics

These multiple-choice questions (MCQs) are designed to enhance your knowledge and understanding in the following areas: Bachelor of Business Administration in Computer Applications (BBA [CA]) , Union Public Service Commission (UPSC) .

Chapters

Chapter: Measures of Central Tendency and Dispersion
1.

What is the arithmetic mean of the data set: 4, 5, 0, 10, 8, and 3?____________

A. 5
B. 6
C. 7
D. 5
Answer» A. 5
2.

What is the geometric mean of: 1, 2, 8, and 16?___________

A. 4
B. 5
C. 6
D. 7
Answer» A. 4
3.

The arithmetic mean of all possible outcomes is known as___________

A. expected value
B. critical value
C. variance
D. standard deviation
Answer» A. expected value
4.

What is the average of 3%, 7%, 10%, and 16% ?____________

A. 8%
B. 9%
C. 10%
D. 11%
Answer» B. 9%
5.

The mean, mode, and median of the data set: 5, 4, 10, 12, 1, 5, 3, 7, 15, and 8 is respectively___________

A. 5, 6, 7
B. 7, 6, 5
C. 6, 5, 7
D. 7, 5, 6
Answer» D. 7, 5, 6
6.

Harmonic men gives more weigntage to____________

A. Small Values
B. Large Values
C. Positive Values
D. Negative Values
Answer» A. Small Values
7.

If the distribution is symmetric about mean then the skewness is_____________.

A. 1
B. Positive
C. negative
D. none
Answer» A. 1
8.

Standard deviation is calculated from the Harmonic Mean (HM)____________

A. Always
B. Sometimes
C. Never
D. None of these
Answer» B. Sometimes
9.

In statistics, a sample means______________

A. A portion of the sample
B. A portion of the population
C. All the items under investigation
D. None of the above
Answer» B. A portion of the population
10.

The algebraic sum of deviations from mean is__________

A. Maximum
B. Zero
C. Minimum
D. Undefined
Answer» B. Zero
11.

Sum of deviations will be zero if it is taken from___________

A. Mean
B. Mode
C. Median
D. Standard Deviation
Answer» A. Mean
12.

Arithmetic Mean is __________ affected by extreme values

A. Not
B. Highly
C. Less
D. None of these
Answer» B. Highly
13.

The sum of squared deviation is least from____________

A. Median
B. Mean
C. Mode
D. Standard Deviation
Answer» B. Mean
14.

__________ is based on all observations of data

A. Median
B. Mode
C. Mean
D. None of these
Answer» C. Mean
15.

The mean of 10 numbers is 9, then the sum (total) of these numbers will be________

A. 9
B. 0.9
C. 70
D. 90
Answer» D. 90
16.

The sum of values divided by their number is called__________

A. Median
B. Harmonic Mean
C. Mean
D. Mode
Answer» C. Mean
17.

The calculation of mean and variance is based on_____________

A. Small values only
B. Large values only
C. Extreme values only
D. All values
Answer» D. All values
18.

The Geometric Mean of -2, 4, 03, 6, 0 will be______________

A. -3
B. 0
C. Cannot be Computed
D. None of these
Answer» C. Cannot be Computed
19.

The most repeated (popular) value in a data set is called____________

A. Median
B. Mean
C. Mode
D. Geometric Mean
Answer» C. Mode
20.

Which of the following Measure of Averages is not based on all the values given in the data set___________

A. Arithmetic Mean
B. Geometric Mean
C. Median
D. Mode
Answer» C. Median
21.

Which of the following Measure of averages is affected by extreme (very small or very large) values in the data set?____________

A. Geometric Mean
B. Median
C. Arithmetic Mean
D. Harmonic Mean
Answer» C. Arithmetic Mean
22.

Data must be arranged either in ascending or descending order if some want to compute________________

A. Mode
B. Median
C. Harmonic Mean
D. Median
Answer» D. Median
23.

If any of the value in data set is negative then it is impossible to compute___________

A. Arithmetic Mean
B. Harmonic Mean
C. Geometric Mean
D. Mode
Answer» C. Geometric Mean
24.

If any of the value in the data set is zero then it is not possible (i.e. impossible) to compute_____________

A. Mode
B. Median
C. Mean
D. Harmonic Mean
Answer» D. Harmonic Mean
25.

To find the average speed of a journey which is the appropriate measure of central tendency____________

A. Mean
B. Geometric Mean
C. Harmonic Mean
D. Weighted Mean
Answer» C. Harmonic Mean
26.

Which of the following cannot be less than zero (negative)?_____________

A. Median
B. Geometric Mean
C. Arithmetic Mean
D. Harmonic Mean
Answer» B. Geometric Mean
27.

________ is the measure of average which can have more than one value____________

A. Mean
B. Median
C. Harmonic Mean
D. Mode
Answer» D. Mode
28.

Find the median of the following data: 160, 180, 200, 280, 300, 320, 400______________

A. 140
B. 300
C. 180
D. 280
Answer» D. 280
29.

Which of the following describe the middle part of a group of numbers?_____________

A. The Measure of Variability
B. The Measure of Central Tendency
C. The Measure of Association
D. The Measure of Shape
Answer» B. The Measure of Central Tendency
30.

The middle value of an ordered array of numbers is the_____________

A. Mode
B. Mean
C. Median
D. Mid-Point
Answer» C. Median
31.

If mean, median, and mode are all equal then distribution will be_______________

A. Positive Skewed
B. Negative Skewed
C. Symmetrical
D. None of these
Answer» C. Symmetrical
32.

The values of mean, median and mode can be____________

A. Some time equal
B. Never equal
C. Always equal
D. None of these
Answer» A. Some time equal
33.

In symmetrical distribution, mean, median, and mode are__________

A. Equal
B. Different
C. Zero
D. None of these
Answer» A. Equal
34.

The empirical relation between mean, median, and mode is____________

A. $ 3 mean – 2 median $
B. $ 3 median – 2 mean $
C. $ 2 mean – 3 median $
D. $ mean = median = mode $
Answer» B. $ 3 median – 2 mean $
35.

In a symmetrical distribution, mean is ____________ mode

A. Equal to
B. Less than
C. Greater than
D. Not equal to
Answer» A. Equal to
36.

If in a distribution left tail is longer than right tail, then the distribution will be____________

A. Symmetrical
B. Positive skewed
C. Negative skewed
D. None of these
Answer» C. Negative skewed
37.

In Uni-model distribution, if mode is less than mean, then the distribution will be__________

A. Symmetrical
B. Normal
C. Positively skewed
D. Negatively skewed
Answer» C. Positively skewed
38.

The shape of symmetrical distribution is _______

A. U shaped
B. Bell Shaped
C. J Shaped
D. None of these
Answer» B. Bell Shaped
39.

The distribution in which mean = 60 and mode = 50, will be ____________

A. Symmetrical
B. Positive skewed
C. Negative skewed
D. None of these
Answer» B. Positive skewed
40.

If mean is less than mode, the distribution will be____________

A. Positively skewed
B. Negatively skewed
C. Symmetrical
D. None of these
Answer» B. Negatively skewed
41.

A symmetrical distribution has mean equal to 4. Its mode will be____________

A. Equal to 4
B. Less than 4
C. Greater than 4
D. Not equal to 4
Answer» A. Equal to 4
42.

A set of values is said to be relatively uniform if it has___________

A. High Dispersion
B. Zero Dispersion
C. Littel Dispersion
D. Negative Dispersion
Answer» C. Littel Dispersion
43.

The measures of dispersion are changed by the change of_______________

A. Scale
B. Origin
C. Unit
D. None of these
Answer» A. Scale
44.

Statistics are aggregates of______________

A. Methods
B. Calculations
C. Facts
D. Data
Answer» D. Data
45.

The appropriate average for calculating average percentage increase in population is____________

A. Arithmetic Mean
B. Harmonic Mean
C. Mode
D. Geometric Mean
Answer» D. Geometric Mean
46.

Which mean is most affected by extreme values?____________

A. Geometric Mean
B. Harmonic Mean
C. Arithmetic mean
D. Trimmed Mean
Answer» C. Arithmetic mean
47.

When mean, median, and mode are identical, the distribution is___________

A. Positively Skewed
B. Negatively Skewed
C. Symmetrical Bivariate
D. Uniform
Answer» C. Symmetrical Bivariate
48.

Sum of absolute deviations about median is_________

A. Zero
B. Maximum
C. Minimum
D. One
Answer» C. Minimum
49.

Sum of square of the deviations about mean is___________

A. Maximum
B. Minimum
C. Zero
D. None of these
Answer» B. Minimum
50.

The extreme values in negatively skewed distribution lie in the_____________

A. Middle
B. Right Tail
C. Left Tail
D. Whole Curve
Answer» C. Left Tail

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