MCQOPTIONS
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MCQOPTIONS
This section includes 56 Mcqs, each offering curated multiple-choice questions to sharpen your Statistics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Which of the following parameter control the relative flatness of normal distribution? |
| A. | None |
| B. | Mode |
| C. | Standard Deviation |
| D. | Mean |
| Answer» D. Mean | |
| 2. |
We use normal distribution when “n” is________________? |
| A. | Small |
| B. | None |
| C. | Fixed |
| D. | Large |
| Answer» E. | |
| 3. |
Total area under the normal curve is________? |
| A. | 100 |
| B. | 1 |
| C. | 50% |
| D. | 1% |
| Answer» C. 50% | |
| 4. |
Total Area under the normal curve is_______________? |
| A. | Greater than 1 |
| B. | 1 |
| C. | None |
| D. | Less than 1 |
| E. | 0 |
| Answer» C. None | |
| 5. |
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 | |
| 6. |
The standardized normal variate z means_________ away from the mean? |
| A. | Mean |
| B. | S.D. |
| C. | Variance |
| D. | None of these |
| Answer» C. Variance | |
| 7. |
The shape of normal distribution does depend upon _____ and variance? |
| A. | x |
| B. | S/σ2 |
| C. | u |
| D. | 2 µ2 |
| Answer» D. 2 µ2 | |
| 8. |
The shape of normal curve depends upon ? |
| A. | None |
| B. | Mean |
| C. | Quartile |
| D. | Standard Deviation |
| E. | Mean Deviation |
| Answer» E. Mean Deviation | |
| 9. |
The range of normal distribution lies between _________? |
| A. | -∞ to +∞ |
| B. | 0 to ∞ |
| C. | -∞ to 0 |
| D. | None of these |
| Answer» B. 0 to ∞ | |
| 10. |
The quartile deviation is ____ (S.D.) is normal dist? |
| A. | .6734 |
| B. | .7879 |
| C. | .6745 |
| D. | .4567 |
| Answer» D. .4567 | |
| 11. |
The _____ order moments about mean are all zero? |
| A. | None |
| B. | Four |
| C. | Add |
| D. | Even |
| Answer» D. Even | |
| 12. |
The normal distribution is_________? |
| A. | Platykurtic |
| B. | Leptokurtic |
| C. | Mesoukurtic |
| D. | None of these |
| Answer» D. None of these | |
| 13. |
The Normal Curve is asymptotic to the? |
| A. | None |
| B. | X-axis |
| C. | Y-axis |
| D. | Along Y=X |
| Answer» C. Y-axis | |
| 14. |
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 | |
| 15. |
The maximum of function is at_______________? |
| A. | X = σ2 |
| B. | X = µ |
| C. | X = µ + σ |
| D. | X = 0 |
| Answer» C. X = µ + σ | |
| 16. |
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 | |
| 17. |
The equation of standard normal distribution is f(z)=________? |
| A. | 1/σ√2∏e 1/2×2 |
| B. | 1/σ√2∏e -1/2×2 |
| C. | 1/√2∏ |
| D. | 1/σ√2∏ |
| Answer» C. 1/√2∏ | |
| 18. |
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 | |
| 19. |
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) | |
| 20. |
P(µ – σ≤x≤µ + σ)=_________? |
| A. | .6826 |
| B. | .6743 |
| C. | .6745 |
| D. | .2345 |
| Answer» B. .6743 | |
| 21. |
Normal Distribution ? |
| A. | have no Mode |
| B. | Multi Modal |
| C. | Bi Modal |
| D. | Tri Modal |
| E. | Uni Modal |
| Answer» F. | |
| 22. |
Normal distribution is the distribution of _______________? |
| A. | Discrete r.v. |
| B. | Continuous r.v. |
| C. | Qualitative variable |
| D. | Quantitative variable |
| Answer» C. Qualitative variable | |
| 23. |
Normal distribution is _____ distribution? |
| A. | Symmetrical |
| B. | non-symmetrical |
| C. | + vely skewed |
| D. | -vely skewed |
| Answer» B. non-symmetrical | |
| 24. |
Normal distribution is a probability distribution of _____ random variable? |
| A. | Continuous |
| B. | Constant |
| C. | Discrete |
| D. | Normal |
| Answer» B. Constant | |
| 25. |
Normal distribution has ___________? |
| A. | 1 parameter |
| B. | 2 parameter |
| C. | 3 parameter |
| D. | 4 parameter |
| Answer» C. 3 parameter | |
| 26. |
Normal distribution has ____shaped? |
| A. | u-shaped |
| B. | Bell shaped |
| C. | T-shaped |
| D. | Normal shaped |
| Answer» C. T-shaped | |
| 27. |
Normal distribution has ______ parameter? |
| A. | Three |
| B. | Two |
| C. | Four |
| D. | One |
| Answer» C. Four | |
| 28. |
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 | |
| 29. |
Mean deviation of Normal Distribution is_____________? |
| A. | 45σ |
| B. | 34σ |
| C. | 78σ |
| D. | 23σ |
| Answer» B. 34σ | |
| 30. |
In normal distribution u2 = S2 and u4 =___________? |
| A. | 3S2 |
| B. | 3S |
| C. | 3S4 |
| D. | 4S2/x |
| Answer» D. 4S2/x | |
| 31. |
In Normal distribution, the parameter which controls the flatness of the curve is____________? |
| A. | µ,σ |
| B. | None |
| C. | µ, MD |
| D. | 2∏—√,e |
| Answer» B. None | |
| 32. |
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. | |
| 33. |
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 | |
| 34. |
In normal distribution, mean ______= Mode? |
| A. | Quartile |
| B. | Mean deviation |
| C. | Median |
| D. | S.D. |
| Answer» D. S.D. | |
| 35. |
In normal distribution β1 = 0 and β2 is equal to _____________? |
| A. | 0.5 |
| B. | 1 |
| C. | 2 |
| D. | 3 |
| Answer» E. | |
| 36. |
In case of symmetrical distribution? |
| A. | β1=β4 |
| B. | Mean=Mode=Median |
| C. | µ1=µ4 |
| D. | µ1=µ2 |
| Answer» C. µ1=µ4 | |
| 37. |
In a standard normal distribution z = 0 corresponds to _____________? |
| A. | Mean |
| B. | S.D. |
| C. | S.D. |
| D. | Q.D. |
| Answer» B. S.D. | |
| 38. |
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 | |
| 39. |
In a normal distribution quartile deviation is _______ (S.D.)? |
| A. | .2745 |
| B. | .3789 |
| C. | .79079 |
| D. | .6745 |
| Answer» E. | |
| 40. |
In a normal distribution E(X-µ)2 is________________? |
| A. | Variance |
| B. | Mean Deviation |
| C. | Standard Deviation |
| D. | Quartile Deviation |
| Answer» B. Mean Deviation | |
| 41. |
In a certain normal distribution having µ = 35 and variance = 16, then mode will be_______________? |
| A. | 3.5 |
| B. | 16 |
| C. | 4 |
| D. | None of these |
| Answer» B. 16 | |
| 42. |
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. | |
| 43. |
If X N(55,49) then σ ? |
| A. | 7 |
| B. | 55 |
| C. | 104 |
| D. | 49 |
| Answer» B. 55 | |
| 44. |
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) | |
| 45. |
If X ˜ N(16,49), the mean is___________? |
| A. | 49 |
| B. | 16 |
| C. | 7 |
| D. | 4 |
| Answer» C. 7 | |
| 46. |
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. | |
| 47. |
If n ≥ 30 and _____ then binomial approaches to normal distribution? |
| A. | q/p |
| B. | p = q |
| C. | pq |
| D. | p = n |
| Answer» C. pq | |
| 48. |
If β1 = 0 it means the distribution is _______________? |
| A. | Symmetrical |
| B. | + vely skewed |
| C. | -vely skewed |
| D. | Non of these |
| Answer» B. + vely skewed | |
| 49. |
For +ve and -ve skewed, check the sign of _______? |
| A. | β1 |
| B. | µ2 |
| C. | β2 |
| D. | µ3 |
| Answer» E. | |
| 50. |
For a normal distribution having µ = 241 and σ = 2 P (X≥235) is:_______? |
| A. | 0.9986 |
| B. | 0.5 |
| C. | 0.475 |
| D. | 0.235 |
| Answer» B. 0.5 | |