Free Measures of Central Tendency and Dispersion MCQs with Answers
30 Measures of Central Tendency and Dispersion MCQs from Quantitative Methods, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.
Central tendency includes mean, weighted mean, median and mode for raw and grouped data. Dispersion covers range, quartiles, interquartile range, variance, standard deviation and coefficient of variation, including the effect of changes in scale and the distinction between a representative centre and the spread around it.
Last updated
30 questions · page 1 of 2
- A. 9
- B. 10
- C. 11
- D. 12
Explanation: The arithmetic mean is found by adding all values and dividing by their number. Their sum is 50, and 50 divided by 5 equals 10.
Correct answer: 10- A. 9
- B. 10.5
- C. 12
- D. 15
Explanation: The data are already arranged in ascending order. Since there are seven values, the fourth value is the middle value, so the median is 12.
Correct answer: 12- A. 3
- B. 5
- C. 7
- D. 8
Explanation: The mode is the value that occurs most frequently. The number 5 appears three times, while every other value appears once.
Correct answer: 5- A. 70
- B. 72
- C. 73
- D. 75
Explanation: The weighted mean is calculated as 60(0.20) + 70(0.30) + 80(0.50). This gives 12 + 21 + 40 = 73, unlike the simple mean, which gives equal…
Correct answer: 73- A. 4
- B. 5
- C. 6
- D. 20
Explanation: The mean is 5, and the squared deviations are 9, 1, 1 and 9, giving a total of 20.
Correct answer: 5- A. It remains unchanged
- B. It decreases by 10
- C. It increases by 10
- D. It becomes 10 times larger
Explanation: Adding the same constant shifts every observation and the mean by the same amount.
Correct answer: It remains unchanged7. A distribution has a mean of 50 and a standard deviation of 5. What is its coefficient of variation?
- A. 5%
- B. 10%
- C. 20%
- D. 25%
Explanation: The coefficient of variation is calculated as standard deviation divided by mean, multiplied by 100. Thus, (5/50) × 100 = 10%.
Correct answer: 10%- A. 6
- B. 8
- C. 10
- D. 12
Explanation: The lower half is 3, 5, 7 and 9, whose median is 6, so Q1 equals 6. The upper half has median 14, so Q3 equals 14 and the interquartile…
Correct answer: 8- A. Arithmetic mean
- B. Geometric mean
- C. Weighted mean
- D. Median
Explanation: The median depends on the position of observations rather than their numerical distance from the centre.
Correct answer: Median- A. 20
- B. 21
- C. 22
- D. 24
Explanation: The combined total is (20 × 15) + (30 × 25) = 1,050, and the combined number of observations is 50.
Correct answer: 21- A. 4
- B. 6
- C. 8
- D. 12
Explanation: The geometric mean is the cube root of the product: (2 × 8 × 32)^(1/3) = 512^(1/3) = 8.
Correct answer: 8- A. 2.5
- B. 3
- C. 4
- D. 4.5
Explanation: For two values, the harmonic mean is 2ab/(a + b). Thus, it is 2(2)(6)/(2 + 6) = 24/8 = 3.
Correct answer: 3- A. 14
- B. 16
- C. 18
- D. 20
Explanation: The range equals the largest value minus the smallest value. Therefore, range = 25 − 7 = 18, not the difference between any two middle…
Correct answer: 18- A. 2
- B. 3
- C. 4
- D. 6
Explanation: The mean is 5, and the squared deviations are 4, 0 and 4. Their sum is 8, which is divided by n − 1, or 2, for a sample variance of 4.
Correct answer: 4- A. Mean 40, standard deviation 4
- B. Mean 60, standard deviation 6
- C. Mean 80, standard deviation 12
- D. Mean 100, standard deviation 9
Explanation: Relative variability is compared using the coefficient of variation. The coefficients are 10%, 10%, 15% and 9%, respectively, so the third…
Correct answer: Mean 80, standard deviation 12- A. 1
- B. 8/3
- C. 2
- D. 4/3
Explanation: The mean is 4, and the absolute deviations are 2, 0 and 2. Their total is 4, so the mean deviation is 4/3.
Correct answer: 4/3- A. Mean < median < mode
- B. Mode < median < mean
- C. Mean = median = mode
- D. Median < mean < mode
Explanation: A positively skewed distribution has a long tail toward larger values, which pulls the mean to the right.
Correct answer: Mode < median < mean- A. 0.25
- B. 0.40
- C. 0.50
- D. 0.67
Explanation: The coefficient of range is (largest − smallest)/(largest + smallest). Thus, it is (30 − 10)/(30 + 10) = 20/40 = 0.50.
Correct answer: 0.50- A. It becomes one-third as large
- B. It remains unchanged
- C. It becomes three times as large
- D. It becomes negative three times as large
Explanation: Standard deviation is multiplied by the absolute value of the multiplying constant.
Correct answer: It becomes three times as large- A. 24
- B. 26
- C. 28
- D. 30
Explanation: Substituting the values gives Mode = 3(22) − 2(20) = 66 − 40 = 26. This is an empirical approximation used for moderately skewed…
Correct answer: 26Measures of Central Tendency and Dispersion MCQs: common questions
Are these Measures of Central Tendency and Dispersion MCQs free?
Yes. All Measures of Central Tendency and Dispersion MCQs from Quantitative Methods are free on TestUstad, with unlimited attempts and no account needed. Nothing on this page is a sample or a trial.
How many Measures of Central Tendency and Dispersion MCQs are on this page?
There are 30 Measures of Central Tendency and Dispersion MCQs in the Quantitative Methods bank, shown 20 to a page with the correct answer and an explanation on each.
Does every Measures of Central Tendency and Dispersion MCQ have an explanation?
Yes. Each Measures of Central Tendency and Dispersion question shows the correct option and a written explanation of why it is correct, so a wrong answer teaches you something rather than just being marked wrong.
Can I take a timed Measures of Central Tendency and Dispersion test?
Yes. The practice button on this page starts a free Measures of Central Tendency and Dispersion test drawn from the Quantitative Methods bank. It marks each answer instantly, gives you a score at the end, and can be retaken as many times as you like.