1. What does skewness measure in a dataset?
Correct Answer: (B) The symmetry of data distribution.
2. A distribution with a right tail longer than the left is called:
Correct Answer: (B) Positively skewed.
3. When the mean is greater than the median in a dataset, the distribution is likely to be:
Correct Answer: (B) Positively skewed.
4. In a negatively skewed distribution, the tail is:
Correct Answer: (A) On the left side.
5. If a dataset has no skewness, it is referred to as:
Correct Answer: (A) Symmetrical.
6. A perfectly symmetrical distribution has a skewness value of:
Correct Answer: (C) 0.
7. Skewness is particularly important for analyzing:
Correct Answer: (B) Data symmetry and tail behavior.
8. Which of the following is an example of a negatively skewed distribution?
Correct Answer: (C) Distribution of exam scores where most students score above average.
9. The skewness of a normal distribution is:
Correct Answer: (B) 0.
10. A positively skewed distribution is often observed in:
Correct Answer: (A) Income distributions.
11. If the skewness of a distribution is -0.5, it is:
Correct Answer: (C) Negatively skewed.
12. The skewness coefficient is typically measured by:
Correct Answer: (A) Pearson’s coefficient of skewness.
13. Which statement is true about a symmetrical distribution?
Correct Answer: (B) The mean, median, and mode are equal.
14. In a positively skewed distribution, which is the correct order of the measures of central tendency?
Correct Answer: (A) Mean > Median > Mode.
15. Skewness is an indicator of:
Correct Answer: (B) The direction of data symmetry.
16. What is Karl Pearson's Coefficient of Skewness used to measure?
Correct Answer: (C) The asymmetry of a data distribution.
17. Karl Pearson's Coefficient of Skewness formula is:
Correct Answer: (A) Mean − Median / Standard Deviation.
18. Karl Pearson's Coefficient of Skewness helps in understanding:
Correct Answer: (A) Whether data is skewed to the left or right.
19. If Karl Pearson’s Coefficient of Skewness is positive, the distribution is:
Correct Answer: (B) Positively skewed.
20. When Karl Pearson's Coefficient of Skewness is negative, it indicates that the distribution has:
Correct Answer: (B) More values in the left tail.
21. What does it imply if Karl Pearson's Coefficient of Skewness equals 0?
Correct Answer: (C) The distribution is symmetrical.
22. In a positively skewed distribution, the order of mean, median, and mode is generally:
Correct Answer: (B) Mean > Median > Mode.
23. The value of Karl Pearson’s Coefficient of Skewness typically lies between:
Correct Answer: (A) -3 and +3.
24. If a dataset has a mean of 50, a median of 40, and a standard deviation of 10, what is the Pearson’s Coefficient of Skewness?
Correct Answer: (A) +1.0.
25. What does a large positive value of Pearson’s Coefficient of Skewness indicate?
Correct Answer: (B) Extreme right skew.
26. Pearson’s Coefficient of Skewness is sensitive to which of the following?
Correct Answer: (A) Outliers in the dataset.
27. For which types of distributions is Karl Pearson's Coefficient of Skewness most appropriate?
Correct Answer: (C) Moderately skewed distributions.
28. A coefficient of skewness close to -3 indicates:
Correct Answer: (A) A highly negatively skewed distribution.
29. Which measure of central tendency is most affected by extreme values in a distribution, causing skewness?
Correct Answer: (A) Mean.
30. If the mean and median of a dataset are equal, Karl Pearson’s Coefficient of Skewness will be:
Correct Answer: (C) Zero.
31. What does Bowley's Coefficient of Skewness measure?
Correct Answer: (B) The asymmetry of a data distribution.
32. Bowley’s Coefficient of Skewness is based on which of the following measures?
Correct Answer: (B) Median and quartiles.
33. The formula for Bowley’s Coefficient of Skewness is:
Correct Answer: (A) 𝑄₃ + 𝑄₁ − 2 × 𝑀𝑒𝑑𝑖𝑎𝑛 / 𝑄₃ − 𝑄₁.
34. A Bowley’s Coefficient of Skewness value greater than 0 indicates a distribution that is:
Correct Answer: (C) Positively skewed.
35. If Bowley’s Coefficient of Skewness equals 0, the distribution is:
Correct Answer: (C) Symmetrical.
36. A Bowley’s Coefficient of Skewness less than 0 indicates a distribution that is:
Correct Answer: (C) Negatively skewed.
37. In the context of Bowley's Coefficient, what do 𝑄₁ and 𝑄₃ represent?
Correct Answer: (B) First and third quartiles.
38. Which of the following distributions is most appropriate for calculating Bowley’s Coefficient of Skewness?
Correct Answer: (D) Any distribution with quartiles available.
39. Bowley’s Coefficient of Skewness is particularly useful because it:
Correct Answer: (A) Is less affected by outliers than the mean.
40. Which of the following values indicates a perfectly symmetrical distribution using Bowley's Coefficient?
Correct Answer: (B) 0.
41. Bowley’s Coefficient is particularly beneficial in the analysis of:
Correct Answer: (B) Skewed data.
42. Which scenario is best suited for the application of Bowley's Coefficient of Skewness?
Correct Answer: (B) Income distribution data.
43. In Bowley’s Coefficient of Skewness, which quartile is subtracted from 𝑄₃?
Correct Answer: (C) 𝑄₁.
44. What does a Bowley's Coefficient of Skewness close to +1 indicate?
Correct Answer: (A) Strong positive skewness.
45. The interpretation of Bowley’s Coefficient of Skewness allows analysts to:
Correct Answer: (C) Understand data symmetry and distribution characteristics.
46. What does kurtosis measure in a statistical distribution?
Correct Answer: (C) The peakedness of the distribution.
47. How many types of kurtosis are generally identified?
Correct Answer: (B) Three types.
48. Which of the following describes a distribution with positive kurtosis?
Correct Answer: (B) Less spread out with higher peaks.
49. What does a kurtosis value of zero indicate?
Correct Answer: (A) Normal distribution.
50. Which term is used to describe a distribution with a kurtosis greater than three?
Correct Answer: (C) Leptokurtic.
51. What is the kurtosis value associated with a platykurtic distribution?
Correct Answer: (A) Less than 3.
52. The excess kurtosis is calculated by subtracting which value from the kurtosis?
Correct Answer: (C) 3.
53. In statistical analysis, why is kurtosis important?
Correct Answer: (B) It aids in understanding the likelihood of extreme values.
54. Which of the following is NOT a characteristic of a leptokurtic distribution?
Correct Answer: (B) Thinner tails.
55. When analyzing financial returns, why is kurtosis particularly significant?
Correct Answer: (C) It measures risk of extreme losses or gains.
56. In the context of kurtosis, what does a high kurtosis value imply about the distribution?
Correct Answer: (B) It has a high probability of outliers.
57. Which statistical software can be used to calculate kurtosis?
Correct Answer: (B) Microsoft Excel.
58. How does kurtosis differ from skewness?
Correct Answer: (A) Kurtosis measures peak while skewness measures symmetry.
59. Which of the following distributions is an example of a platykurtic distribution?
Correct Answer: (B) Uniform distribution.
60. What is the implication of a low kurtosis value in data analysis?
Correct Answer: (C) The data has a flat peak with less variability.
