normal distribution Mcqs
1. In Normal distribution, the parameter which controls the flatness of the curve is____________?
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A. ,?

B. None

C. , MD

D. 2??,e

2. Which of the following parameter control the relative flatness of normal distribution?
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A. Standard Deviation

B. Mean

C. None

D. Mode

3. We use normal distribution when n is________________?
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A. Large

B. None

C. Small

D. Fixed

4. The shape of normal curve depends upon ?
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A. Mean Deviation

B. Standard Deviation

C. None

D. Mean

E. Quartile

5. For +ve and -ve skewed, check the sign of _______?
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A. ?2

B. ?1

C. 3

D. 2

6. Area Under the normal curve on either side of mean is _____________?
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A. -1

B. Mean value

C. 2

D. 0.5

E. 1

7. The lower and upper quartile of standard normal variation are respectively ?
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A. -0.7979 and 0.7979

B. -0.7979? and 0.7979?

C. +0.6745? and -0.6745?

D. -0.6745 and 0.6745
8. In a normal distribution E(X-)2 is________________?
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A. Quartile Deviation

B. Variance

C. Mean Deviation

D. Standard Deviation

9. Area to the right of (z=0) is the area for ____ values of z?
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A. Positive

B. None of these

C. Zero

D. Negative

10. In a certain normal distribution having = 35 and variance = 16, then mode will be_______________?
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A. 16

B. 3.5

C. 4

D. None of these

11. In case of symmetrical distribution?
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A. 1=2

B. ?1=?4

C. Mean=Mode=Median

D. 1=4

12. Every distribution tends to ____ distribution?
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A. ?

B. Small

C. Large

D. Finite

13. If n ? 30 and _____ then binomial approaches to normal distribution?
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A. p = n

B. pq

C. p = q

D. q/p

14. Standard normal variable Z is___________?
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A. ? x/

B. - x /?

C. x ?/

D. x /?
15. In a normal distribution, what is the z score associated with the mode ?
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A. -1

B. 0

C. 1

D. None of these

16. Total area under the normal curve is________?
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A. 50%

B. 100

C. 1%

D. 1
17. Total Area under the normal curve is_______________?
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A. 1

B. Less than 1

C. None

D. Greater than 1

E. 0

18. The median of normal distribution corresponds to the value of Z equal to_________________?
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A. 1

B. 0

C. 0.5

D.
19. If X N(55,49) then ? ?
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A. 55

B. 7

C. 104

D. 49

20. If X is normally distribution with >= 8 and S.D. 4, then P(6?X?10) may be______________?
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A. -0.32

B. 0

C. 1.2

D. 0.2684
21. Normal distribution is _____ distribution?
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A. #NAME?

B. #NAME?

C. Symmetrical

D. non-symmetrical

22. The Normal Curve is asymptotic to the?
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A. Along Y=X

B. Y-axis

C. None

D. X-axis
23. If X N (, ?2) then Z __________?
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A. N(0, 1)

B. N(1, 1)

C. N(0, ?2)

D. N(1, ?2)

24. In normal distribution, mean ______= Mode?
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A. S.D.

B. Mean deviation

C. Median

D. Quartile

25. The standardized normal variate z means_________ away from the mean?
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A. Mean

B. S.D.

C. Variance

D. None of these

26. Normal distribution is the distribution of _______________?
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A. Continuous r.v.

B. Discrete r.v.

C. Quantitative variable

D. Qualitative variable

27. The _____ order moments about mean are all zero?
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A. None

B. Even

C. Four

D. Add
28. If Y=5X + 10 and X is N(10,25), then mean of Y is ?
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A. 70

B. 60

C. 50

D. 135

29. If X N(16,49), the mean is___________?
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A. 49

B. 7

C. 16

D. 4

30. In a normal distribution quartile deviation is _______ (S.D.)?
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A. 0.2745

B. 0.79079

C. 0.3789

D. .6745
31. Normal Distribution ?
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A. Tri Modal

B. Multi Modal

C. have no Mode

D. Bi Modal

E. Uni Modal
32. The value maximum ordinate of a standard normal curve at Z = 0 is:________?
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A. 0.3989

B. 1

C. 0.5

D. None of these

33. In normal distribution Q1=_________?
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A. u + .6745 (S.D.)

B. u .6745 (S.D.)

C. u + .6745 (S.D.)

D. u .7979 (S.D.)

34. Area of normal distribution total is equal to _______?
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A. Four

B. Two

C. One

D. Three

35. Shape of normal curve can be related to_______________?
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A. L

B. J

C. Rectangle

D. Bell

E. Circle

36. In normal distribution ?1 = 0 and ?2 is equal to _____________?
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A. 0.5

B. 1

C. 2

D. 3
37. Normal distribution has ____shaped?
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A. Normal shaped

B. Bell shaped

C. T-shaped

D. u-shaped

38. The equation of standard normal distribution is f(z)=________?
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A. 1/??2?e 1/22

B. 1/??2?e -1/22

C. 1/?2?

D. 1/??2?

39. In normal distribution u2 = S2 and u4 =___________?
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A. 4S2/x

B. 3S4

C. 3S

D. 3S2

40. P( ??x? + ?)=_________?
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A. 0.2345

B. 0.6743

C. 0.6745

D. .6826
41. Mean deviation of Normal Distribution is_____________?
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A. 45?

B. 23?

C. 34?

D. 78?

42. 100% of values lies in the limits are equal to ______________?
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A. 40 and 60

B. 20 and 70

C. 20 and 80

D. 20 and 30

43. P95 means _____?
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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)

44. In normal distribution Q.D. ( quartile deviation)is equal to________?
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A. 0.6745 ?

B. ?

C. None of these

D. 0.7979 ?

45. Normal distribution has ___________?
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A. 4 parameter

B. 1 parameter

C. 2 parameter

D. 3 parameter

46. N(, 2?) means normally distribution with mean u and variance2? then (3?, 4) means _____________?
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A. 36

B. 76

C. 46

D. 47

47. The maximum of function is at_______________?
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A. X = 0

B. X = + ?

C. X = ?2

D. X =
48. The shape of normal distribution does depend upon _____ and variance?
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A. S/?2

B. u

C. x

D. 2 2

49. As the normal distribution is symmetrical, its mean, median and mode are:____________?
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A. Coincide

B. Different

C. Not equal

50. Normal distribution has ______ parameter?
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A. Two

B. Four

C. One

D. Three