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normal distribution MCQs

Practise focused normal distribution questions with marked answers for exam preparation and subject revision.

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