Rigorous Stats Measures Of Central Tendency Test - 60+ MCQs: Stats Measures of Central Tendency Quiz: Test Your Understanding with Central Tendency Questions and Answers

1. What is the formula for calculating the geometric mean of a dataset?

Square root of the product of values

Sum of values divided by their count

Reciprocal of the arithmetic mean

Square of the sum of values

2. What is the formula for calculating the sample skewness?

Third standardized moment

Mean divided by standard deviation

Median divided by interquartile range

Mode divided by range

3. What does the interquartile range represent?

Range between the first and third quartiles

Range between the mean and median

Range between the maximum and minimum values

Range between the mode and median

4. In a positively skewed distribution, how does the mean compare to the median?

Mean is greater than the median

Median is greater than the mean

Mean and median are equal

Mean and median cannot be compared

5. If a dataset has an even number of values, how is the median calculated?

By selecting the middle value

By averaging the two middle values

By finding the most frequently occurring value

By summing up all values and dividing by the number of values

6. What is the purpose of the Shapiro-Wilk test in statistics?

Test for normality

Test for skewness

Test for kurtosis

Test for homogeneity of variances

7. In a leptokurtic distribution, how are the tails compared to a normal distribution?

Shorter tails

Equal tails

Longer tails

No tails

8. What is the purpose of the Q-Q plot in statistics?

Measure of dispersion

Visualization of the normality of a distribution

Measure of skewness

Visualization of the shape of tails in a distribution

9. In a normal distribution, what percentage of data falls within one standard deviation of the mean?

50%

68%

95%

99.7%

10. How is the median absolute deviation calculated?

Mean of absolute differences between values and the median

Median of absolute differences between values and the mean

Sum of absolute differences between values and the median

Product of values and their weights divided by the sum of weights

11. How is the weighted mean calculated?

Sum of values divided by their count

Product of values and their weights divided by the sum of weights

Middle value of the sorted dataset

Most frequently occurring value

12. In a normal distribution, what percentage of data falls within two standard deviations of the mean?

50%

68%

95%

99.7%

13. What does the term 'central limit theorem' state?

The mean is normally distributed

The sample mean is normally distributed

The population mean is normally distributed

The sample distribution approaches normality as sample size increases

14. How is the mid-range calculated?

Sum of maximum and minimum values divided by 2

Average of the maximum and minimum values

Sum of values divided by their count

Product of values and their weights divided by the sum of weights

15. Which central tendency measure is less sensitive to extreme values?

Mean

Median

Mode

Range

16. When is the median a better measure of central tendency than the mean?

When the data is skewed

When the data is normally distributed

When there are outliers in the dataset

When the data is symmetrical

17. What is the mode of a dataset?

The most frequently occurring value

The average of the values

The middle value of the dataset

The sum of the values

18. Which central tendency measure is not affected by outliers?

Mean

Median

Mode

Range

19. How is the mode calculated for a grouped frequency distribution?

The most frequently occurring class

The midpoint of the class with the highest frequency

The class with the widest range

The class with the smallest range

20. What happens to the mean if an outlier is added to the dataset?

The mean increases

The mean decreases

The mean remains unchanged

The mean becomes undefined

21. How does the median behave in a skewed distribution?

Equals the mean

Moves towards the skew

Remains unchanged

Becomes undefined

22. Which measure of central tendency is least affected by outliers?

Mean

Median

Mode

Range

23. Which measure of central tendency is influenced by extreme values?

Mean

Median

Mode

Range

24. How does the weighted mean behave when weights are equal for all values?

Equals the arithmetic mean

Equals the harmonic mean

Equals the geometric mean

Equals the median

25. What is the formula for calculating the mean absolute deviation?

Sum of absolute differences between values and the mean, divided by the count

Sum of squared differences between values and the mean, divided by the count

Sum of values divided by their count

Product of values and their weights divided by the sum of weights

26. How does the mean change when a new value significantly higher than the others is added to the dataset?

Increases

Decreases

Remains unchanged

Becomes undefined

27. In a negatively skewed distribution, where is the mode in relation to the median?

Equal to the median

Greater than the median

Less than the median

Not related to the median

28. What is the formula for calculating the sample kurtosis?

Fourth standardized moment

Mean divided by standard deviation

Median divided by interquartile range

Mode divided by range

29. What is the formula for calculating the mode in a discrete distribution?

The most frequently occurring value

The midpoint of the class with the highest frequency

The value with the highest probability density

The average of the values

30. In a positively skewed distribution, where is the mean in relation to the median?

Equal to the median

Greater than the median

Less than the median

Not related to the median

Stats Measures of Central Tendency MCQ Test 3