Explore topic-wise MCQs in Statistics Mcqs.

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