Quiznetik

Fundamentals of Business Statistics | Set 1

1. The necessary diagram to compare among the various components or between a part and the whole is:

Correct : C. Pie diagram

2. A random variable X can take the values -1, 0 and 1 with respective probabilities 0.2, 0.5 and 0.3. The expected value of X is:

Correct : D. 0.1

3. Consider the following data: Marks in 0 – 9 10 – 19 20 – 29 30 – 39 40 – 49 Total Mathematics No. of students (f) 10 8 12 15 5 50 Frequency density of the second class is

Correct : A. 0.8

4. The measure of central tendency of a statistical data which takes into account all the data

Correct : B. Mean

5. The A.M. of the numbers 1, 3, 5, ……. (2n – 1) is

Correct : C. n

6. The Harmonic Mean (H.M.) of the series 1, 2, 4 is

Correct : D. 12/7

7. For a symmetrical distribution first quartile and median are respectively 20 and 24. The third quartile of the distribution is

Correct : A. 28

8. Standard Deviation (S.D) for two observations 1 and 4 is

Correct : B. 1.5

9. If the two regression coefficients are byx = - 0.4 and bxy = - 0.9 then the value of correlation coefficient (r) is

Correct : C. - 0.6

10. For a frequency distribution coefficient of skewness = 0.6; mean = 172 and mode = 163. The value of the variance is

Correct : D. 225

11. For two mutually exclusive events A and B if P(A) = 3/4 and P(B) = 1/6, then P(A or B) is

Correct : A. 11/12

12. Two unbiased coins are tossed simultaneously. The problem of getting a head and a tail is

Correct : B. 1/2

13. The vertical axis of an ogive shows

Correct : A. Cumulative frequencies

14. The basis of classification according to differences in time is called

Correct : A. Ordinal classification

15. The frequencies of three class intervals 54 – 58, 59 – 63, 64 – 68 of a distribution are respectively 4, 8 and 12. The frequency density of the 2nd class is

Correct : D. 2

16. The variance of two observations 10 and 17 is

Correct : A. 12.25

17. If a variable x takes the values 12 and 24 with equal frequencies, then mean of x is

Correct : B. 18

18. The quartile deviation of the following data 12, 10, 17, 14, 19, 21, 27, 30, 32, 38, 34 is

Correct : C. 9

19. For a frequency distribution mean = 68.2; median = 69 and coefficient of skewness of the distribution is – 0.6. The variance of the distribution is

Correct : D. 16

20. If two regression equations x + 5y = 13 and 3x – 2y = 5, then the mean values of x and y are respectively.

Correct : B. (3, 2)

21. Two dice are thrown simultaneously, the probability of obtaining a total sum 8 is

Correct : B. 5/6

22. If the A.M of 14, 16, x, 25, 21 be 19, then the value of x is

Correct : B. 19

23. The G.M of 3 and 24 with weight 2 and 1 respectively is

Correct : C. 6

24. The mean deviation about median of 28, 7, 16, 14, 24, 15, 34, 30 is

Correct : A. 8

25. The A.M of first n natural numbers is 6. The value of n is

Correct : C. 11

26. The 1st and 3rd quartiles of a frequency distribution are respectively 25 and 45. If the coefficient of skewness be – 0.1, then the median is

Correct : A. 36

27. If A.M and the coefficient of variation of x are 6 and 50% respectively, then the variable of x is

Correct : C. 9

28. Given : Q3 – Q1 = 8, Q3 + Q1 = 22, Median (Q2) = 10.5. The coefficient of skewness is

Correct : A. 1/8

29. The correlation coefficient between two variables x and y is

Correct : D. Geometric Mean of two regression coefficients.

30. For two mutually exclusive events A and B, P (A U B) is equal:

Correct : B. P(A) + P(B)

31. Out of total outlay 40,000 (crore) during an annual plan of a country, the central angle represented by education of amount Rs. x crore is 720. The value of x (in crore) is

Correct : D. 8,000

32. Given a table: Value (greater than) 100 150 200 250 Frequency 50 32 9 0 The number of observations between 150 and 200 is

Correct : A. 23

33. Given the table: Class Interval 10 – 15 15 – 20 20 – 25 25 – 30 30 – 35 Frequency 5 7 4 6 8 The class mark for the second class is

Correct : B. 17.5

34. The Arithmetic Mean for the series 2, 6, 5, 7, 9, 4, 2 is

Correct : C. 5

35. The Geometric Mean (GM) for the series 1, 3, 9 is

Correct : A. 3

36. The Standard Deviation for two observations is

Correct : B. half of their absolute difference

37. The absolute deviations of the values of a variables from the mean are 10, 15, 19, 2, 14. The mean deviation is 15

Correct : C. 12

38. A.M of 40 observations of a variable is 25 and S.D is 4. The sum of squares of all observations is

Correct : A. 25640

39. If y + 2x = 10; 𝒙ഥ = 3 and Var (y) = 25, then C.V. of y is

Correct : C. 125%

40. The coefficient of skewness of a distribution is 0.4. Its S.D and mean are respectively 8 and 30. The mode of the distribution is

Correct : D. 26.8

41. If 𝝈𝒚 ൌ 𝟒, byx = 0.48, r = 0.6, then is 𝝈𝒙

Correct : A. 5

42. If A and B be two mutually exclusive events and P(A) = 3/4; P (A U B) = 5/6 then P(B) is

Correct : D. 1/12

43. The mode for the series 2, 5, 7, 6, 3, 7, 4, 7, 9, 2 is

Correct : C. 7

44. The median of the numbers 94, 33, 86, 68, 32, 80, 48 and 70 is

Correct : B. 69

45. The Geometric Mean (G.M) for the series 1, 2, 4 is

Correct : A. 2

46. The Standard Deviation (S.D) for 2 and 8 is 16

Correct : C. 3

47. The mean deviation of the observations 3, 5, 9, 1 and 2 about their median is

Correct : B. 2.2

48. If the sum of squares of the deviations of 10 observations taken from mean 50 is 250, then C.V is

Correct : A. 10%

49. If the relation between two variables x and y be 5x + 7y = 28 and median of y be 3, then the median of x is

Correct : A. 1.4

50. For a symmetric distribution, skewness is

Correct : A. 0

51. If cov (x, y) = 0.6, 𝝈𝒙 ൌ 𝟐, 𝝈𝒚 ൌ 𝟏, then rxy is

Correct : A. 0.1

52. The value of the correlation coefficient lies between

Correct : B. - 1 and 1

53. For two mutually exclusive events A and B, if P(A) = 0.4 and P(B) = 0.3, then P (A or B) is

Correct : C. 0.7

54. If the Harmonic Mean of 2, a, 8 be 24/7, the value of a is 17

Correct : A. 4

55. The variance of first 5 natural numbers is

Correct : D. 2

56. Two variables x and y are given by the relation y = 3x – 2. If the mode of x be 5, the mode of y will be

Correct : A. 13

57. If for a symmetrical distribution 1st and 3rd quartiles are respectively 16 and 22, then the Median of the distribution is

Correct : D. 19

58. If Mean = 50 cm and C.V. = 60%, then the S.D. is

Correct : B. 30 cm

59. For a given frequency distribution C.V = 30%, variance = 36 and Pearson’s Coefficient of Skewness = - 0.25, the mode of the distribution is

Correct : C. 21.5

60. The regression equation of y on x is 3x – 5y = - 12 and regression equation of x on y is 2x – y = 7. The value of y when x = 10 is

Correct : A. 8.4

61. If y = 3x + 30 and mean of x is 20, then the mean of y is

Correct : A. 90

62. If the events A and B are mutually exclusive then

Correct : A. P (A + B) = P (A) + P (B)

63. If 𝝈𝒙 ൌ 𝟏𝟎, 𝝈𝒚 ൌ 𝟏𝟐, and bxy = - 0.8, then the value of correlation coefficient (r) is

Correct : B. - 0.96

64. When Var (x) = 2.25, Var (y) = 1 and Cov (x, y) = 0.9, then correlation coefficient is

Correct : C. 0.6

65. If the odds against an event 3:5, the probability of that event is

Correct : B. 5/8