JEE (Main) Mathematics - Statistics and Probability MCQs for Practice

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JEE (Main) Mathematics - Statistics and Probability MCQs

31. The standard deviation of the data set: 1, 3, 5, 7, 9 is:

a) 2
b) 2.58
c) 3
d) 4

Answer: b) 2.58

32. The variance of the data set: 6, 8, 10, 12 is:

a) 4
b) 6
c) 8
d) 10

Answer: a) 4

33. If the mean of the data set 12, 15, 20, 25 is 18, what is the sum of squares of deviations from the mean?

a) 80
b) 90
c) 100
d) 110

Answer: a) 80

34. For the data set 10, 12, 14, 16, 18, the mean deviation about the mean is:

a) 2
b) 3
c) 4
d) 5

Answer: b) 3

35. The mean deviation of the data set 10, 20, 30, 40, 50 about the median is:

a) 10
b) 20
c) 30
d) 40

Answer: a) 10

36. The variance of the data set: 5, 10, 15, 20, 25, 30 is:

a) 50
b) 60
c) 70
d) 80

Answer: b) 60

37. The standard deviation of a data set is calculated as:

a) \( \frac{\sum f(x - \bar{x})}{n} \)
b) \( \sqrt{\frac{\sum (x - \mu)^2}{n}} \)
c) \( \frac{\sum (x - \mu)}{n} \)
d) None of the above

Answer: b) \( \sqrt{\frac{\sum (x - \mu)^2}{n}} \)

38. The mean deviation of the data set 7, 8, 9, 10, 11 about the median is:

a) 0.5
b) 1
c) 1.5
d) 2

Answer: a) 0.5

39. For a grouped frequency distribution, the standard deviation is calculated using:

a) \( \sqrt{\frac{\sum f(x - \bar{x})^2}{\sum f}} \)
b) \( \sqrt{\frac{\sum f(x - \mu)^2}{n}} \)
c) \( \sum (x - \mu) \)
d) \( \frac{\sum f(x - \bar{x})}{\sum f} \)

Answer: a) \( \sqrt{\frac{\sum f(x - \bar{x})^2}{\sum f}} \)

40. If the variance of a data set is 16, then the standard deviation is:

a) 4
b) 8
c) 2
d) 16

Answer: a) 4

41. The mean deviation of the data set: 4, 6, 8, 10 about the mean is:

a) 2
b) 1.5
c) 3
d) 4

Answer: b) 1.5

42. The mean of the data set 20, 30, 40, 50, 60 is:

a) 30
b) 40
c) 35
d) 50

Answer: b) 40

43. The variance for a set of data 3, 5, 7, 9, 11 is:

a) 10
b) 8
c) 6
d) 4