Dispersion – range, quartile deviation, standard deviation - One Line Questions

1. The formula for Quartile Deviation is: — (Q3 - Q1) / 2
2. The Coefficient of Variation (CV) is calculated as: — (Standard Deviation / Mean) * 100
3. If a dataset has values 5, 5, 5, 5, 5, what is the standard deviation? — 0
4. If Q1 = 30, Q3 = 50, and the median (Q2) = 40, what is the Quartile Deviation? — 10
5. Calculate the Quartile Deviation for the dataset: 10, 20, 30, 40, 50, 60, 70, 80. — 15
6. What is Q1 for the dataset: 10, 20, 30, 40, 50, 60, 70, 80? — 25
7. For a dataset with values {2, 4, 6, 8, 10}, the mean is 6. Calculate the variance (population). — 8
8. If the interquartile range (IQR) is 15 and Q1 is 20, what is Q3? — 35
9. What is the median of the following dataset: 5, 10, 15, 20, 25? — 20
10. What is Q3 for the dataset: 10, 20, 30, 40, 50, 60, 70, 80? — 65
11. Approximately what percentage of data falls within one standard deviation of the mean in a normal distribution? — 68%
12. Approximately what percentage of data falls within two standard deviations of the mean in a normal distribution? — 95%
13. Approximately what percentage of data falls within three standard deviations of the mean in a normal distribution? — 99.7%
14. Q1 represents the 25th percentile, and Q3 represents the: — 75th percentile
15. In a dataset of scores: 10, 15, 12, 18, 20, what is the range? — 8
16. Which statistical concept is crucial for understanding the reliability and precision of measurements in biological studies? — Dispersion
17. A higher standard deviation indicates: — Data points are more spread out from the mean
18. In a symmetrical distribution, the mean, median, and mode are: — Equal
19. If all values in a dataset are increased by a constant, the standard deviation will: — Remain the same
20. For a sample, the formula for standard deviation uses (n-1) in the denominator to: — Provide a less biased estimate of the population standard deviation
21. Quartile Deviation (QD) is also known as: — Semi-Interquartile Range
22. What is a major limitation of using the range as a measure of dispersion? — It only considers the extreme values and ignores others
23. Compared to standard deviation, MAD is generally: — Smaller
24. A dataset with a larger Coefficient of Variation has: — More relative variability
25. In a negatively skewed distribution, which relationship generally holds true? — Mean < Median < Mode
26. In a positively skewed distribution, which relationship generally holds true? — Mean > Median > Mode
27. The variance is always: — Zero or positive
28. Standard deviation is the square root of: — Variance
29. Which of the following is NOT a measure of dispersion? — Mean
30. Which measure of dispersion is sensitive to every value in the dataset? — Standard Deviation
31. Which measure of dispersion is calculated using deviations from the mean? — Standard Deviation
32. Which measure of dispersion is robust against outliers? — Interquartile Range
33. Which of the following is a measure of relative dispersion? — Coefficient of Variation
34. If all values in a dataset are multiplied by a positive constant, the standard deviation will: — Be multiplied by that constant
35. Which measure of dispersion is the simplest to calculate? — Range
36. Which measure of dispersion is less affected by extreme values compared to the range? — Quartile Deviation
37. Which measure of dispersion is used to compare variability between datasets with different means? — Coefficient of Variation
38. Which measure of dispersion is most affected by a single extreme value? — Range
39. What does 'dispersion' measure in statistics? — The spread or variability of data points
40. If the standard deviation of a dataset is 0, what does it imply? — All data points are identical
41. The range of a dataset is defined as the difference between: — The smallest and the largest values
42. The sum of the squared deviations from the mean is minimized for: — The Mean
43. What is the unit of variance compared to the original data? — The unit squared
44. What is the primary purpose of standard deviation? — To measure the average distance of data points from the mean
45. Quartiles divide a dataset into how many equal parts? — Four
46. The empirical rule (68-95-99.7 rule) applies to which type of distribution? — Normal distribution
47. Which measure of dispersion is expressed in the same units as the original data? — All of the above
48. The formula for the population variance (σ²) is: — Σ(x - μ)² / N
49. The formula for the sample variance (s²) is: — Σ(x - x̄)² / (n-1)
50. The Mean Absolute Deviation (MAD) is calculated as: — Σ|x - mean| / n
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