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				This section includes 56 Mcqs, each offering curated multiple-choice questions to sharpen your Statistics Mcqs knowledge and support exam preparation. Choose a topic below to get started.
| 1. | 
                                    The _____ order moments about mean are all zero? | 
                            
| A. | None | 
| B. | Four | 
| C. | Add | 
| D. | Even | 
| Answer» D. Even | |
| 2. | 
                                    100% of values lies in the limits are equal to ______________? | 
                            
| A. | 40 and 60 | 
| B. | 20 and 70 | 
| C. | 20 and 30 | 
| D. | 20 and 80 | 
| Answer» E. | |
| 3. | 
                                    In a normal distribution quartile deviation is _______ (S.D.)? | 
                            
| A. | .2745 | 
| B. | .3789 | 
| C. | .79079 | 
| D. | .6745 | 
| Answer» E. | |
| 4. | 
                                    The range of normal distribution lies between _________? | 
                            
| A. | -∞ to +∞ | 
| B. | 0 to ∞ | 
| C. | -∞ to 0 | 
| D. | None of these | 
| Answer» B. 0 to ∞ | |
| 5. | 
                                    The shape of normal distribution does depend upon _____ and variance? | 
                            
| A. | x | 
| B. | S/σ2 | 
| C. | u | 
| D. | 2 µ2 | 
| Answer» D. 2 µ2 | |
| 6. | 
                                    Area Under the normal curve on either side of mean is _____________? | 
                            
| A. | 1 | 
| B. | Mean value | 
| C. | 0.5 | 
| D. | 2 | 
| E. | -1 | 
| Answer» D. 2 | |
| 7. | 
                                    In normal distribution β1 = 0 and β2 is equal to _____________? | 
                            
| A. | 0.5 | 
| B. | 1 | 
| C. | 2 | 
| D. | 3 | 
| Answer» E. | |
| 8. | 
                                    In case of symmetrical distribution? | 
                            
| A. | β1=β4 | 
| B. | Mean=Mode=Median | 
| C. | µ1=µ4 | 
| D. | µ1=µ2 | 
| Answer» C. µ1=µ4 | |
| 9. | 
                                    Normal Distribution ? | 
                            
| A. | have no Mode | 
| B. | Multi Modal | 
| C. | Bi Modal | 
| D. | Tri Modal | 
| E. | Uni Modal | 
| Answer» F. | |
| 10. | 
                                    The Normal Curve is asymptotic to the? | 
                            
| A. | None | 
| B. | X-axis | 
| C. | Y-axis | 
| D. | Along Y=X | 
| Answer» C. Y-axis | |
| 11. | 
                                    If “X” is normally distribution with >µ= 8 and S.D. 4, then P(6≤X≤10) may be______________? | 
                            
| A. | 0 | 
| B. | -0.32 | 
| C. | 1.2 | 
| D. | 0.2684 | 
| Answer» E. | |
| 12. | 
                                    Total area under the normal curve is________? | 
                            
| A. | 100 | 
| B. | 1 | 
| C. | 50% | 
| D. | 1% | 
| Answer» C. 50% | |
| 13. | 
                                    For +ve and -ve skewed, check the sign of _______? | 
                            
| A. | β1 | 
| B. | µ2 | 
| C. | β2 | 
| D. | µ3 | 
| Answer» E. | |
| 14. | 
                                    Normal distribution is _____ distribution? | 
                            
| A. | Symmetrical | 
| B. | non-symmetrical | 
| C. | + vely skewed | 
| D. | -vely skewed | 
| Answer» B. non-symmetrical | |
| 15. | 
                                    The standardized normal variate z means_________ away from the mean? | 
                            
| A. | Mean | 
| B. | S.D. | 
| C. | Variance | 
| D. | None of these | 
| Answer» C. Variance | |
| 16. | 
                                    In a normal distribution, what is the z score associated with the mode ? | 
                            
| A. | -1 | 
| B. | 0 | 
| C. | +1 | 
| D. | None of these | 
| Answer» C. +1 | |
| 17. | 
                                    Area to the right of (z=0) is the area for ____ values of z? | 
                            
| A. | Zero | 
| B. | Negative | 
| C. | Positive | 
| D. | None of these | 
| Answer» D. None of these | |
| 18. | 
                                    Normal distribution is the distribution of _______________? | 
                            
| A. | Discrete r.v. | 
| B. | Continuous r.v. | 
| C. | Qualitative variable | 
| D. | Quantitative variable | 
| Answer» C. Qualitative variable | |
| 19. | 
                                    The shape of normal curve depends upon ? | 
                            
| A. | None | 
| B. | Mean | 
| C. | Quartile | 
| D. | Standard Deviation | 
| E. | Mean Deviation | 
| Answer» E. Mean Deviation | |
| 20. | 
                                    The value maximum ordinate of a standard normal curve at Z = 0 is:________? | 
                            
| A. | 1 | 
| B. | 0.5 | 
| C. | 0.3989 | 
| D. | None of these | 
| Answer» D. None of these | |
| 21. | 
                                    If X ˜ N (µ, σ2) then Z ˜__________? | 
                            
| A. | N(0, σ2) | 
| B. | N(1, σ2) | 
| C. | N(0, 1) | 
| D. | N(1, 1) | 
| Answer» D. N(1, 1) | |
| 22. | 
                                    If Y=5X + 10 and X is N(10,25), then mean of Y is ? | 
                            
| A. | 135 | 
| B. | 50 | 
| C. | 70 | 
| D. | 60 | 
| Answer» E. | |
| 23. | 
                                    If X ˜ N(16,49), the mean is___________? | 
                            
| A. | 49 | 
| B. | 16 | 
| C. | 7 | 
| D. | 4 | 
| Answer» C. 7 | |
| 24. | 
                                    Which of the following parameter control the relative flatness of normal distribution? | 
                            
| A. | None | 
| B. | Mode | 
| C. | Standard Deviation | 
| D. | Mean | 
| Answer» D. Mean | |
| 25. | 
                                    We use normal distribution when “n” is________________? | 
                            
| A. | Small | 
| B. | None | 
| C. | Fixed | 
| D. | Large | 
| Answer» E. | |
| 26. | 
                                    The lower and upper quartile of standard normal variation are respectively ? | 
                            
| A. | µ+0.6745σ and µ-0.6745σ | 
| B. | -0.6745 and 0.6745 | 
| C. | -0.7979 and 0.7979 | 
| D. | -0.7979σ and 0.7979σ | 
| Answer» C. -0.7979 and 0.7979 | |
| 27. | 
                                    Total Area under the normal curve is_______________? | 
                            
| A. | Greater than 1 | 
| B. | 1 | 
| C. | None | 
| D. | Less than 1 | 
| E. | 0 | 
| Answer» C. None | |
| 28. | 
                                    Shape of normal curve can be related to_______________? | 
                            
| A. | Bell | 
| B. | Circle | 
| C. | L | 
| D. | Rectangle | 
| E. | J | 
| Answer» B. Circle | |
| 29. | 
                                    The median of normal distribution corresponds to the value of Z equal to_________________? | 
                            
| A. | 0.5 | 
| B. | 1 | 
| C. | µ | 
| D. | 0 | 
| Answer» D. 0 | |
| 30. | 
                                    Area of normal distribution total is equal to _______? | 
                            
| A. | Two | 
| B. | One | 
| C. | Four | 
| D. | Three | 
| Answer» C. Four | |
| 31. | 
                                    The area under the normal distribution curve outside the interval of z=1 and z=3.09 is_____________? | 
                            
| A. | None of the above | 
| B. | 0.1477 | 
| C. | 0.1597 | 
| D. | 0.3413 | 
| E. | 0.4990 | 
| Answer» D. 0.3413 | |
| 32. | 
                                    If X N(55,49) then σ ? | 
                            
| A. | 7 | 
| B. | 55 | 
| C. | 104 | 
| D. | 49 | 
| Answer» B. 55 | |
| 33. | 
                                    Mean deviation of Normal Distribution is_____________? | 
                            
| A. | 45σ | 
| B. | 34σ | 
| C. | 78σ | 
| D. | 23σ | 
| Answer» B. 34σ | |
| 34. | 
                                    As the normal distribution is symmetrical, its mean, median and mode are:____________? | 
                            
| A. | Coincide | 
| B. | Not equal | 
| C. | Different | 
| Answer» B. Not equal | |
| 35. | 
                                    P95 means _____? | 
                            
| A. | The central 95% area | 
| B. | The point above above which95% area lies | 
| C. | The point above below which 95% area lies | 
| D. | Both (a) and (b) but not (c) | 
| Answer» D. Both (a) and (b) but not (c) | |
| 36. | 
                                    Every distribution tends to ____ distribution? | 
                            
| A. | Small | 
| B. | ∞ | 
| C. | Large | 
| D. | Finite | 
| Answer» D. Finite | |
| 37. | 
                                    The normal distribution is_________? | 
                            
| A. | Platykurtic | 
| B. | Leptokurtic | 
| C. | Mesoukurtic | 
| D. | None of these | 
| Answer» D. None of these | |
| 38. | 
                                    In normal distribution, mean ______= Mode? | 
                            
| A. | Quartile | 
| B. | Mean deviation | 
| C. | Median | 
| D. | S.D. | 
| Answer» D. S.D. | |
| 39. | 
                                    In normal distribution Q.D. ( quartile deviation)is equal to________? | 
                            
| A. | σ | 
| B. | 0.7979 σ | 
| C. | 0.6745 σ | 
| D. | None of these | 
| Answer» D. None of these | |
| 40. | 
                                    Standard normal variable Z is___________? | 
                            
| A. | x – µ /σ | 
| B. | µ- x /σ | 
| C. | σ – x/ µ | 
| D. | x – σ/ µ | 
| Answer» B. µ- x /σ | |
| 41. | 
                                    N(µ, 2σ) means normally distribution with mean u and variance2σ then (3σ, 4) means _____________? | 
                            
| A. | 46 | 
| B. | 76 | 
| C. | 76 | 
| D. | 47 | 
| Answer» D. 47 | |
| 42. | 
                                    In a standard normal distribution z = 0 corresponds to _____________? | 
                            
| A. | Mean | 
| B. | S.D. | 
| C. | S.D. | 
| D. | Q.D. | 
| Answer» B. S.D. | |
| 43. | 
                                    In normal distribution Q1=_________? | 
                            
| A. | u + .6745 (S.D.) | 
| B. | u – .7979 (S.D.) | 
| C. | u + .6745 (S.D.) | 
| D. | u – .6745 (S.D.) | 
| Answer» E. | |
| 44. | 
                                    If n ≥ 30 and _____ then binomial approaches to normal distribution? | 
                            
| A. | q/p | 
| B. | p = q | 
| C. | pq | 
| D. | p = n | 
| Answer» C. pq | |
| 45. | 
                                    The maximum of function is at_______________? | 
                            
| A. | X = σ2 | 
| B. | X = µ | 
| C. | X = µ + σ | 
| D. | X = 0 | 
| Answer» C. X = µ + σ | |
| 46. | 
                                    If β1 = 0 it means the distribution is _______________? | 
                            
| A. | Symmetrical | 
| B. | + vely skewed | 
| C. | -vely skewed | 
| D. | Non of these | 
| Answer» B. + vely skewed | |
| 47. | 
                                    Normal distribution has ___________? | 
                            
| A. | 1 parameter | 
| B. | 2 parameter | 
| C. | 3 parameter | 
| D. | 4 parameter | 
| Answer» C. 3 parameter | |
| 48. | 
                                    P(µ – σ≤x≤µ + σ)=_________? | 
                            
| A. | .6826 | 
| B. | .6743 | 
| C. | .6745 | 
| D. | .2345 | 
| Answer» B. .6743 | |
| 49. | 
                                    Normal distribution has ______ parameter? | 
                            
| A. | Three | 
| B. | Two | 
| C. | Four | 
| D. | One | 
| Answer» C. Four | |
| 50. | 
                                    Normal distribution has ____shaped? | 
                            
| A. | u-shaped | 
| B. | Bell shaped | 
| C. | T-shaped | 
| D. | Normal shaped | 
| Answer» C. T-shaped | |