STATISTICS (CDS)Total Questions: 6341. Suppose xᵢ = λⁱ for 0 ≤ i ≤ 10 , where λ > 1. Which one of the following is correct?(a) AM < Median(b) GM < Median(c) GM = Median(d) AM = MedianCorrect Answer: (c) GM = MedianSolution:42. Suppose xᵢ = 1/i for 1, 2, 3 ,...,11. Which one of the following is not correct?(a) AM > 1/6(b) GM > 1/6(c) HM > 1/6(d) Median = HMCorrect Answer: (d) Median = HMSolution:43. If each of n numbers xᵢ = i ( i = 1, 2, 3 ,...,n) is replaced by (i + 1)xᵢ , then the new mean is(a)(b)(c)(d)Correct Answer: (d)Solution:44. The weighted arithmetic mean of first 10 natural numbers whose weights are equal to the corresponding numbers is equal to(a) 7(b) 14(c) 35(d) 38 5.Correct Answer: (d) 38 5.Solution:45. (Questions 45-48) Consider the following frequency distribution.What is the mean of the distribution?(a) 37.2(b) 38.1(c) 39.2(d) 40.1Correct Answer: (a) 37.2Solution:(Questions 45-48) 46. What is the median class?(a) 20-30(b) 30-40(c) 40-50(d) 50-60Correct Answer: (b) 30-40Solution: 47. What is the median of the distribution?(a) 37(b) 38(c) 39(d) 40Correct Answer: (c) 39Solution: 48. What is the mode of the distribution?(a) 38.33(b) 40.66(c) 42.66(d) 43.33Correct Answer: (d) 43.33Solution: 49. There are five parties A, B, C, D and E in an election. Out of total 100000 votes cast, 36000 were cast to party A, 24000 to to party B, 18000 to party C, 7000 to party D and rest to party E. What angle will be allocated for party E in the pie-chart?(a) 15°(b) 54°(c) 60°(d) 72°Correct Answer: (b) 54°Solution:50. The class which has maximum frequency is known as(a) median class(b) mean class(c) modal class(d) None of theseCorrect Answer: (c) modal classSolution:The class which has maximum frequency is known as modal class.Submit Quiz« Previous1234567Next »