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Class 11 Economics (Statistics For Economics) Chapter 6 Measures Of Dispersion Quiz 1 (60 MCQs)

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1. The interquartile range of a set of data is 18. Find the new interquartile range if each value in the set of data is multiplied by 4.
2. In a 100 item test, the passing mark is the 3rd quartile. What does it imply?
3. What is Scooby Doo's full name?
4. A set of of data has a minimum value of 15 and a maximum value of 40. Find the new range if two numbers, 8 and 35, are added to the set of the data.
5. Which of the following class interval has a midpoint 145.5?
6. ..... is equal to the value corresponding to cumulative frequency 3(N+1)/4 from simple frequency distribution.
7. Find the range of these numbers:15, 2, 3, 7, 8, 4, 3, 2, 16, 2, 4
8. What is the variance for the data given:{12, 13, 29, 18, 61, 35, 21}
9. Which of the following is not a measure of dispersion?
10. The measure of dispersion which is expressed in terms of the nits of observations .....
11. Between Virat and Rohit, who is a consistent batsmen
12. Four data sets are shown below. Set 1:{19, 19, 19, 19, 19} Set 2:{5, 10, 15, 20, 25} Set 3:{9, 10, 11, 12, 13} Set 4:{5, 20, 28, 36, 51} Which data set has the smallest standard deviation?
13. A set of data contains 20 numbers. The sum of the numbers is 284 and the sum of the squares of the numbers is 4 688. Calculate the standard deviation of the set of data.
14. Which of the following is NOT a measure of dispersion for grouped data? (a) Range (b) Mean (c) Interquartile Range (d) Standard Deviation
15. It is defined as the square root of the variance.
16. What is the standard deviation for the data given:5, 10, 7, 12, 0, 20, 15, 22, 8, 2
17. Sum of the frequency for a level and the others before it
18. The numerical value of the standard deviation can never be
19. Quartile deviation with Q1 = 25 and Q3 = 75 is equal to
20. How can you use the SUM function to add a range of cells in a spreadsheet?
21. What is the relationship between variance and standard deviation?
22. The range and the variance of a set of numbers y1, y2, ..... , y15 are 8 and 4.5 respectively.Calculate the range and the variance of the set of numbers $\frac{2y_1+15}{5}, \\frac{2y_2+1}{5}, \\frac{2y_3+1}{5}, \ ..... \, \\frac{2y_{15}+1}{5}.$
23. ..... in particular helps in finding the variability of the data
24. If the salary of 10 employees are identical i.e. $ 4000, then its mean deviation from Mean is
25. Explain the concept of interquartile range.
26. In a set of 100 data values, the mean is 29 with a standard deviation of 3, what is the range of data values within one standard deviation of the mean?
27. What does the range in statistics measure?
28. What is a demerit of the standard deviation?
29. What does the term 'coefficient of variation' refer to?
30. State the midpoint of the class interval (3.8-5.2).
31. If the variance of a data set is 30.25, what is the standard deviation?
32. Which of the following is NOT a measure of dispersement?
33. Coefficient of standard deviation is the ratio of .....
34. The mean of a set of numbers p, 2p, 3p, 4p and 5p is 6. Calculate the standard deviation of the set of numbers.
35. What does a low coefficient of variation indicate?
36. Chebyshev's Theorem states that regardless the shape of the distribution, at least $1-\frac{1}{k^2}$
37. Mean deviation is calculated based on which of the following?
38. Given the following scores, 15, 12, 2, 3, 5, 11, 23, 24, 45, 32, 33:What is the range?
39. If the dispersion is small, then the values in the distribution is close to the median.
40. The masses of six children are 34.5 kilograms, 42.6 kilograms, 39.8 kilograms, 40.1 kilograms, 53.4 kilograms, and 33.8 kilograms. Find the mean mass.
41. The ..... is the easiest measure of dispersion to calculate.
42. Which of the measures of dispersion only uses two values in the distribution?
43. What is the formula to calculate the range?
44. Quartile Deviation is based on ..... of the observation.
45. If each number in a set of data is added or substracted with a constant, the range, interquartile range, variance and standard deviation also will change.
46. QD is based on the ..... items
47. Difference between the max and min
48. What does a distribution with a high value of standard deviation imply?
49. The Empirical Rule says that 95% of the observations in a distribution will lie within plus and minus two standard deviations of the mean.
50. Define the first quartile in statistics.
51. Quartile Deviation for the data 1, 3, 4, 5, 6, 6, 10 is
52. All of the below sets have the same mean. Set 1-Standard Deviation=3.1 Set 2-Standard Deviation=4.9 Set 3-Standard Deviation=1.7 Set 4-Standard Deviation=3.2 Which set of data probably has the points farthest to the mean?
53. 6. The arithmetic average of the absolute deviation of a series known as the .....
54. If the variance of a distribution is 169, then what is the standard deviation of the same distribution?
55. Four data sets are shown below. Set 1:{19, 19, 19, 19, 19} Set 2:{5, 10, 15, 20, 25} Set 3:{9, 10, 11, 12, 13} Set 4:{5, 20, 28, 36, 51} Which data set has the largest standard deviation?
56. Find the Mean Absolute Deviation of the set:10, 5, 7, 14, 19, 32, 25
57. Explain quartile deviation.
58. Standard deviataion is usually used to compare two sets of data. If the value of the standard deviation is very small the data is more
59. 9, 9, 10, 12, 12, 15, 17, 19, 20, 26, 21, 24, 30Find the D$_{7 }$score.
60. In a population of five university students with GPAs of 2.5, 2.3, 1.7, 1.4, and 1.1, a sample of three students are considered. What would be a sample that would underestimate the population standard deviation?
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