McqMate
| 1. |
The necessary diagram to compare among the various components or between a part and the whole is: |
| A. | Bar diagram |
| B. | Step diagram |
| C. | Pie diagram |
| D. | Histogram |
| Answer» 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: |
| A. | 0.3 |
| B. | 0.5 |
| C. | 0.2 |
| D. | 0.1 |
| Answer» 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 |
| A. | 0.8 |
| B. | 8 |
| C. | 1.2 |
| D. | 1 |
| Answer» A. 0.8 | |
| 4. |
The measure of central tendency of a statistical data which takes into account all the data |
| A. | Median |
| B. | Mean |
| C. | Mode |
| D. | Range |
| Answer» B. Mean | |
| 5. |
The A.M. of the numbers 1, 3, 5, ……. (2n – 1) is |
| A. | n2 |
| B. | n + 1 |
| C. | n |
| D. | 2n |
| Answer» C. n | |
| 6. |
The Harmonic Mean (H.M.) of the series 1, 2, 4 is |
| A. | 5 |
| B. | 7 |
| C. | 7/5 |
| D. | 12/7 |
| Answer» D. 12/7 | |
| 7. |
For a symmetrical distribution first quartile and median are respectively 20 and 24. The third quartile of the distribution is |
| A. | 28 |
| B. | 26 |
| C. | 22 |
| D. | 32 |
| Answer» A. 28 | |
| 8. |
Standard Deviation (S.D) for two observations 1 and 4 is |
| A. | 1 |
| B. | 1.5 |
| C. | 2 |
| D. | 3 |
| Answer» 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 |
| A. | 0.6 |
| B. | 0.65 |
| C. | - 0.6 |
| D. | - 0.65 |
| Answer» C. - 0.6 | |
| 10. |
For a frequency distribution coefficient of skewness = 0.6; mean = 172 and mode = 163. The value of the variance is |
| A. | 169 |
| B. | 215 |
| C. | 196 |
| D. | 225 |
| Answer» 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 |
| A. | 11/12 |
| B. | 5/12 |
| C. | 7/8 |
| D. | 1/8 |
| Answer» A. 11/12 | |
| 12. |
Two unbiased coins are tossed simultaneously. The problem of getting a head and a tail is |
| A. | 1/4 |
| B. | 1/2 |
| C. | 1 |
| D. | ¾ |
| Answer» B. 1/2 | |
| 13. |
The vertical axis of an ogive shows |
| A. | Cumulative frequencies |
| B. | Absolute frequencies |
| C. | Frequency densities |
| D. | Class boundaries |
| Answer» A. Cumulative frequencies | |
| 14. |
The basis of classification according to differences in time is called |
| A. | Ordinal classification |
| B. | Temporal classification |
| C. | Spatial classification |
| D. | Qualitative classification |
| Answer» 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 |
| A. | 1 |
| B. | 1.2 |
| C. | 1.6 |
| D. | 2 |
| Answer» D. 2 | |
| 16. |
The variance of two observations 10 and 17 is |
| A. | 12.25 |
| B. | 12 |
| C. | 1.225 |
| D. | 13 |
| Answer» A. 12.25 | |
| 17. |
If a variable x takes the values 12 and 24 with equal frequencies, then mean of x is |
| A. | 36 |
| B. | 18 |
| C. | 22 |
| D. | 28 |
| Answer» B. 18 | |
| 18. |
The quartile deviation of the following data 12, 10, 17, 14, 19, 21, 27, 30, 32, 38, 34 is |
| A. | 11 |
| B. | 18 |
| C. | 9 |
| D. | 16 |
| Answer» 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 |
| A. | 9 |
| B. | 25 |
| C. | 36 |
| D. | 16 |
| Answer» D. 16 | |
| 20. |
If two regression equations x + 5y = 13 and 3x – 2y = 5, then the mean values of x and y are respectively. |
| A. | (2, 3) |
| B. | (3, 2) |
| C. | (4, 5) |
| D. | (5, 4) |
| Answer» B. (3, 2) | |
| 21. |
Two dice are thrown simultaneously, the probability of obtaining a total sum 8 is |
| A. | 1/6 |
| B. | 5/6 |
| C. | 5/36 |
| D. | 7/36 |
| Answer» B. 5/6 | |
| 22. |
If the A.M of 14, 16, x, 25, 21 be 19, then the value of x is |
| A. | 16 |
| B. | 19 |
| C. | 12 |
| D. | 21 |
| Answer» B. 19 | |
| 23. |
The G.M of 3 and 24 with weight 2 and 1 respectively is |
| A. | 8 |
| B. | 4 |
| C. | 6 |
| D. | 9 |
| Answer» C. 6 | |
| 24. |
The mean deviation about median of 28, 7, 16, 14, 24, 15, 34, 30 is |
| A. | 8 |
| B. | 6 |
| C. | 10.5 |
| D. | 12 |
| Answer» A. 8 | |
| 25. |
The A.M of first n natural numbers is 6. The value of n is |
| A. | 12 |
| B. | 9 |
| C. | 11 |
| D. | 16 |
| Answer» 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 |
| A. | 36 |
| B. | 32 |
| C. | 24 |
| D. | 28 |
| Answer» A. 36 | |
| 27. |
If A.M and the coefficient of variation of x are 6 and 50% respectively, then the variable of x is |
| A. | 3 |
| B. | 6 |
| C. | 9 |
| D. | 11 |
| Answer» C. 9 | |
| 28. |
Given : Q3 – Q1 = 8, Q3 + Q1 = 22, Median (Q2) = 10.5. The coefficient of skewness is |
| A. | 1/8 |
| B. | 1/7 |
| C. | 1/5 |
| D. | 1 |
| Answer» A. 1/8 | |
| 29. |
The correlation coefficient between two variables x and y is |
| A. | sum of two regression coefficients. |
| B. | Arithmetic Mean of two regression coefficients. |
| C. | Harmonic Mean of two regression coefficients. |
| D. | Geometric Mean of two regression coefficients. |
| Answer» D. Geometric Mean of two regression coefficients. | |
| 30. |
For two mutually exclusive events A and B, P (A U B) is equal: |
| A. | P(A) – P(B) |
| B. | P(A) + P(B) |
| C. | ½ [P(A) + P(B)] |
| D. | P(A) x P(B) |
| Answer» 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 |
| A. | 10,000 |
| B. | 9,000 |
| C. | 6,000 |
| D. | 8,000 |
| Answer» 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 |
| A. | 23 |
| B. | 15 |
| C. | 8 |
| D. | 18 |
| Answer» 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 |
| A. | 27.5 |
| B. | 17.5 |
| C. | 12.5 |
| D. | 32.5 |
| Answer» B. 17.5 | |
| 34. |
The Arithmetic Mean for the series 2, 6, 5, 7, 9, 4, 2 is |
| A. | 7 |
| B. | 4 |
| C. | 5 |
| D. | 6 |
| Answer» C. 5 | |
| 35. |
The Geometric Mean (GM) for the series 1, 3, 9 is |
| A. | 3 |
| B. | 2 |
| C. | 1/3 |
| D. | ½ |
| Answer» A. 3 | |
| 36. |
The Standard Deviation for two observations is |
| A. | square of their difference. |
| B. | half of their absolute difference |
| C. | their absolute difference |
| D. | twice of their absolute difference |
| Answer» 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 |
| A. | 16 |
| B. | 14 |
| C. | 12 |
| D. | 9 |
| Answer» 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 |
| A. | 25640 |
| B. | 26540 |
| C. | 24560 |
| D. | 26450 |
| Answer» A. 25640 | |
| 39. |
If y + 2x = 10; 𝒙ഥ = 3 and Var (y) = 25, then C.V. of y is |
| A. | 100% |
| B. | 150% |
| C. | 125% |
| D. | 50% |
| Answer» 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 |
| A. | 26 |
| B. | 26.2 |
| C. | 26.4 |
| D. | 26.8 |
| Answer» D. 26.8 | |
| 41. |
If 𝝈𝒚 ൌ 𝟒, byx = 0.48, r = 0.6, then is 𝝈𝒙 |
| A. | 5 |
| B. | 7 |
| C. | 9 |
| D. | 6.5 |
| Answer» 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 |
| A. | 2/3 |
| B. | 3/5 |
| C. | 5/12 |
| D. | 1/12 |
| Answer» D. 1/12 | |
| 43. |
The mode for the series 2, 5, 7, 6, 3, 7, 4, 7, 9, 2 is |
| A. | 6 |
| B. | 2 |
| C. | 7 |
| D. | 9 |
| Answer» C. 7 | |
| 44. |
The median of the numbers 94, 33, 86, 68, 32, 80, 48 and 70 is |
| A. | 68 |
| B. | 69 |
| C. | 64 |
| D. | 70 |
| Answer» B. 69 | |
| 45. |
The Geometric Mean (G.M) for the series 1, 2, 4 is |
| A. | 2 |
| B. | 7/3 |
| C. | 3/7 |
| D. | 2.5 |
| Answer» A. 2 | |
| 46. |
The Standard Deviation (S.D) for 2 and 8 is 16 |
| A. | 5 |
| B. | 4 |
| C. | 3 |
| D. | 6 |
| Answer» C. 3 | |
| 47. |
The mean deviation of the observations 3, 5, 9, 1 and 2 about their median is |
| A. | 2.4 |
| B. | 2.2 |
| C. | 3 |
| D. | 2.8 |
| Answer» 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 |
| A. | 10% |
| B. | 12% |
| C. | 20% |
| D. | 15% |
| Answer» 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 |
| A. | 1.4 |
| B. | - 4.2 |
| C. | 3 |
| D. | 13/7 |
| Answer» A. 1.4 | |
| 50. |
For a symmetric distribution, skewness is |
| A. | 0 |
| B. | 1 |
| C. | -1 |
| D. | 0.5 |
| Answer» A. 0 | |
| 51. |
If cov (x, y) = 0.6, 𝝈𝒙 ൌ 𝟐, 𝝈𝒚 ൌ 𝟏, then rxy is |
| A. | 0.1 |
| B. | 0.3 |
| C. | 0.2 |
| D. | 0 |
| Answer» A. 0.1 | |
| 52. |
The value of the correlation coefficient lies between |
| A. | 0 and 1 |
| B. | - 1 and 1 |
| C. | -1 and 0 |
| D. | - 0.5 and 0.5 |
| Answer» 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 |
| A. | 0.6 |
| B. | 0.58 |
| C. | 0.7 |
| D. | 0.75 |
| Answer» C. 0.7 | |
| 54. |
If the Harmonic Mean of 2, a, 8 be 24/7, the value of a is 17 |
| A. | 4 |
| B. | 6 |
| C. | 12 |
| D. | 9 |
| Answer» A. 4 | |
| 55. |
The variance of first 5 natural numbers is |
| A. | 3 |
| B. | 4 |
| C. | 8 |
| D. | 2 |
| Answer» 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 |
| A. | 13 |
| B. | 10 |
| C. | 15 |
| D. | 9 |
| Answer» A. 13 | |
| 57. |
If for a symmetrical distribution 1st and 3rd quartiles are respectively 16 and 22, then the Median of the distribution is |
| A. | 20 |
| B. | 18 |
| C. | 24 |
| D. | 19 |
| Answer» D. 19 | |
| 58. |
If Mean = 50 cm and C.V. = 60%, then the S.D. is |
| A. | 25 cm |
| B. | 30 cm |
| C. | 28 cm |
| D. | 20 cm |
| Answer» 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 |
| A. | 24 |
| B. | 20 |
| C. | 21.5 |
| D. | 24.5 |
| Answer» 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 |
| A. | 8.4 |
| B. | 6.5 |
| C. | 7 |
| D. | 9 |
| Answer» A. 8.4 | |
| 61. |
If y = 3x + 30 and mean of x is 20, then the mean of y is |
| A. | 90 |
| B. | 80 |
| C. | 70 |
| D. | 100 |
| Answer» A. 90 | |
| 62. |
If the events A and B are mutually exclusive then |
| A. | P (A + B) = P (A) + P (B) |
| B. | P (A + B) = P (A) – P (B) |
| C. | P (A + B) = P (A) P (B) |
| D. | P (A + B) = 0 18 |
| Answer» 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 |
| A. | - 0.84 |
| B. | - 0.96 |
| C. | - 0.75 |
| D. | 0.86 |
| Answer» B. - 0.96 | |
| 64. |
When Var (x) = 2.25, Var (y) = 1 and Cov (x, y) = 0.9, then correlation coefficient is |
| A. | 0.45 |
| B. | 0.8 |
| C. | 0.6 |
| D. | 0.75 |
| Answer» C. 0.6 | |
| 65. |
If the odds against an event 3:5, the probability of that event is |
| A. | 3/8 |
| B. | 5/8 |
| C. | 2/3 |
| D. | 1/3 |
| Answer» B. 5/8 | |
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