Measures of central tendency mean median and mode for grouped and ungrouped data - One Line Questions

1. For grouped data, the class mark of a class interval is calculated as: — (Lower limit + Upper limit) / 2
2. A dataset has values: 5, 5, 5, 5. What is its mode? — 5
3. If a dataset has no repeating values, what is its mode? — It has no mode
4. What is the median of the ungrouped data set: 7, 1, 5, 3, 9? — 5
5. In a grouped data set, if N=100 and the cumulative frequency just before the median class is 40, and the frequency of the median class is 20, what is N/2 - CF? — 10
6. What is the median of the ungrouped data set: 10, 12, 14, 16, 18, 20? — 17
7. What is the mode of the ungrouped data set: 1, 2, 2, 3, 3, 4, 4, 4, 5? — 4
8. What is the median of the ungrouped data set: 1, 1, 2, 3, 3, 3, 4, 5? — 3.5
9. What is the median of the ungrouped data set: 10, 20, 30, 40? — 25
10. What is the mean of the ungrouped data set: 10, 20, 30, 40, 50? — 30
11. What is the mean of the ungrouped data set: 1, 2, 3, 4, 5, 6? — 3.5
12. What is the median of the ungrouped data set: 15, 25, 35, 45, 55, 65? — 40
13. What is the mode of the ungrouped data set: 3, 4, 4, 5, 6, 6, 6, 7? — 6
14. What is the mean of the ungrouped data set: 2, 4, 6, 8? — 5
15. The empirical relation for a moderately skewed distribution is often given as: Mean - Mode = 3 * (Mean - Median). This can be rearranged to find the Mode if Mean and Median are known. What is the Mode if Mean = 50 and Median = 45? — 40
16. What is the median of the ungrouped data set: 2, 5, 8, 10, 12? — 8
17. What is the mean of the ungrouped data set: 5, 10, 15? — 10
18. For the grouped data, if the lower limit of the median class is 50, N/2 is 60, the cumulative frequency of the preceding class is 45, and the frequency of the median class is 30, what is the median? — 58.33
19. The median of the ungrouped data set: 5, 8, 12, 15, 20 is: — 12
20. Which of the following is a disadvantage of using the mean? — It is affected by extreme values.
21. Which measure of central tendency represents the most frequent value in a dataset? — Mode
22. Which measure of central tendency is least affected by outliers in a dataset? — Median
23. Which measure of central tendency is most appropriate for nominal data? — Mode
24. Consider the ungrouped data: 1, 2, 3, 4, 5, 100. Which measure would be most representative of the central tendency? — Median
25. Which measure of central tendency is most suitable for ordinal data? — Median
26. Which measure is best suited when the data contains extreme values or outliers? — Median
27. Which measure of central tendency is a positional average? — Median
28. Which of the following is NOT a measure of central tendency? — Range
29. Which measure of central tendency is often used for discrete data where the most common category is important? — Mode
30. For a positively skewed distribution (right-skewed), the relationship between mean, median, and mode is typically: — Mean < Median < Mode
31. For a negatively skewed distribution (left-skewed), the relationship between mean, median, and mode is typically: — Mean < Median < Mode
32. For a symmetrical distribution of ungrouped data, which of the following is generally true? — Mean = Median = Mode
33. For a given set of ungrouped data, which measure of central tendency is most affected by extreme values? — Mean
34. Which measure of central tendency is calculated by summing all values and dividing by the number of values? — Mean
35. Which measure of central tendency is calculated using all the values in a dataset? — Mean
36. The median of a grouped frequency distribution requires knowledge of the: — Median class
37. If a dataset has multiple values that appear with the highest frequency, how many modes can it have? — More than one
38. The formula for calculating the mean of a grouped frequency distribution is: — Sum of (frequency * class mark) / Sum of frequencies
39. If the mean of a dataset is 25 and the median is 22, the distribution is likely: — Positively skewed
40. If the mean of a dataset is 30 and the median is 35, the distribution is likely: — Negatively skewed
41. In calculating the mean of grouped data using the assumed mean method, deviations are taken from: — An assumed mean
42. In a grouped frequency distribution, how is the median class determined? — The class where the cumulative frequency exceeds N/2.
43. For a grouped frequency distribution, the mode can be approximated by the formula: L + [(f1 - f0) / (2f1 - f0 - f2)] * h. Here, f1 represents: — The frequency of the modal class.
44. The modal class for a grouped frequency distribution is the class with: — The highest frequency.
45. In a grouped frequency distribution, the mode is often estimated using: — An empirical relation involving mean and median.
46. What does 'N' represent in the median formula for grouped data? — The total frequency (sum of all frequencies).
47. The formula for calculating the median of a grouped frequency distribution is L + [(N/2 - CF) / f] * h, where L is: — The lower boundary of the median class.
48. If all values in an ungrouped data set are the same, what is the mean, median, and mode? — The common value
49. If a dataset consists of only one value, what are its mean, median, and mode? — The value itself
50. If a dataset has two modes, it is called: — Bimodal
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