12th class statistics Chapter 10,Normal Distribution important MCQ's |Choice Questions,Objective questions,2nd year class statistics

  Important MCQ's for chapter # 10

 My dear students here are important MCQs of all the chapters.My  only request is that please don't ask  for guess paper II because no one know  what shall be written in your annual exam.This   is my effort to make important MCQs for 2nd year class. Do  you know all the chapters in your book are very important and exercises are very very difficult to seem you. Please My only request to subscribe this YouTube channel ‘Welcome Academy’. do you know complete   book exercises have been uploaded you can see on this channel.Please  go to the channel and subscribe for more videos. if you have any question you can  comment here, I shall be very happy to see your question for this behalf.

Thanks  

 

 

 

@WelcomeAcademy 

Multiple Choice Questions 

1. Total area under normal curve is
(a) 0

 (b) -1 

(c) >1

 (d) 1
2. Area under the normal curve on either side of mean is:
(a) 1 

(b) 2.0 

(c ) 0.5 

(d) none of these 

3 . Normal distribution is used when “n” is:
(a) small

 (b) large 

 (c) fixed 

(d) very small 

4 .The shape of normal curve depends upon:
(a) SD 

(b) mean 

(c) MD 

(d) QD
5 .Shape of normal curve is:
(a) circle 

(b) M 

(c) U

 (d) bell
6. Normal distribution is
(a) leptokurtic

 (b) platykurtic 

(c) mesokurtic

 (d) none
7.  Normal distribution is:
(a) multimodal 

(b) unimodal 

(c) bimodal 

(d) trimodal
8. The normal distribution has parameters:
(a) 2 

 (b) 3 

(c) 4 

(d) 1
9. The range of normal distribution is: 

(a) 0 to 1

 (b) -infinity to 0

 (c) 0 to infinity

(d) -infinity to infinity

 10 . In normal distribution
σ is always:
(a) one
(b) zero
(c) positive
(d) negative
11.
If X ~
(50,25)N
then mean is:,
(a) 25
(b) 50
(c) 5
(d) 2
12.
If X~(50,25) N ,then variance is :
(a) 25
(b) 50
(c) 5
(d) 2
13.
If Y=5X +10 and X (50,25) N ,then the mean of Y is:
(a) 60
(b) 50
(c) 250
(d) 260
14.
If in normal distribution
µ= 40 and

σ =25 ,then median is
(a) 65
(b) 5
(c) 40
(d) 25

 15.
If in normal distribution µ= 40 and σ =25 ,then mode is
(a) 65
(b) 40
(c) 25
(d) 5
16.
The median of standard normal distribution is:
(a) 0
(b) 3
(c) 2
(d) 1
17.
In normal distribution
E(X-µ)²

(a) QD
(b) MD
(c) SD
(d) variance
18.
If X
(100,144)N
,then standard deviation is :
(a) 244
(b) 100
(c) 12
(d) 144
19.
The value of mean deviation in normal distribution is:
(a) 1.6745σ 

(b) 0.7979σ 
(c) 0.6745σ 

(d) 0.50σ  

 

20.
The value of quartile deviation in normal distribution is:
(a) 0.6745 σ 

 (b) 1
(c) 0.7979 σ 

 (d) none
21..
The value of lower quartile in standard normal distribution is:
(a) +0.7979
(b) -0.7979
(c) +0.6745
(d) -0.6745

22.
The value of upper quartile in standard normal distribution is:
(a) +0.7979
(b) -0.7979
(c) +0.6745
(d) -0.6745
23.
Standard normal random variable has mean:
(a) 1
(b) 0
(c) σ

 (d) µ

 24.
Standard normal random variable has variance:
(a) 0
(b) 1
(c) σ 

(d) µ

25.
Q1 is equal to:
(a) X0.10
(b) X0.75
(c) X0.5
(d) X0.25
26.
Q3 is equal to:
(a) X0.10
(b) X0.05
(c) X0.75
(d) X0.25
27. P(µ-σ <X<µ+σ)is equal to
(a) 0.7979
(b) 0.6827
(c) 0.8627
(d) 0.2768
28.
P(µ-2σ <X<µ+2σ)is equal to
(a) 0.9545
(b) 0.6827
(c) 0.6445
(d) 0.8545
29.
P(µ-3σ <X<µ+3σ)is equal to
(a) 0.9973
(b) 0.6827
(c) 0.7973
(d) 0.7399
30. µ+σ and µ-σ are called:
(a) moment ratio
(b) point of inflexion
(c) maximum ordinate
(d) asymptotic curve

 31.
In standard normal distribution, P(Z≤a) is:
(a) 2Φ(a) 

(b) 1-Φ(a)

 (c) Φ(a)  

(d) 2Φ(a)-1

 32.
In standard normal distribution, P(Z≥a) is:
(a) 2Φ(a) 

(b) 1-Φ(a)

 (c) Φ(a)  

(d) 2Φ(a)-1

33.
P(a ≤ X ≤ b) is equal to
(a) Φ(a) -Φ(b)   

(b) Φ(a) +Φ(b) 

(c) Φ(b) -Φ(a)  

(d) Φ(b) +Φ(a)

34.P(|Z|≤ a)
is equal to:
(a) 2Φ(a)-1
(b) 2Φ(a)

(c) 1- 2Φ(a) 

(d) 1-Φ(a) 

35.P(|Z|≥ a)
is equal to:
(a) 2Φ(a)-1
(b) 2Φ(-a)

(c) 1- 2Φ(a) 

(d) 1-Φ(a) 

36.
In normal distribution second moment about mean is :
(a) 0
(b)σ² 

(c)2σ² 

(d) 1
37.
In normal distribution fourth moment about mean is :
(a) 0
(b) 3 σ² 

(c) 2 σ² 

(d) 3σ⁴ 

38.
In normal distribution σ² = 5 then
4th is:
(a) 25
(b) 75
(c) 125
(d) 625
39.
The probability that the value of standard normal variate exceeds 0 is
(a) 0.25
(b) 0.50
(c) 0.75
(d)1 

 

40.
In normal distribution
µ±0.6745σ
covers area:
(a) 50%
(b) 68.27%
(c) 95.45%
(d) 99.73%
41.
In a normal curve, ordinate is highest at:
(a) Mean
(b) variance
(c) Q1
(d) σ 

42.
Normal distribution has maximum ordinate at X is equal to :
(a) 0
(b )1
(c) µ 

(d) σ

 43.
The maximum ordinate of standard normal curve is at:

(a) 0
(b )1
(c) µ 

(d) σ

44.
Standard normal distribution has maximum ordinate at Z =
(a) 0
(b )1
(c) µ 

(d) σ

45.
If X~N(a,b)
, then the value of X is
(a) a+z√ b
(b) a – z√ b
(c) a+zb
(d) a – zb
46.
Φ(-∞)  is equal to:
(a) 0
(b) 1
(c) -1
(d) none
47 . Φ(+∞)  is equal to:

(a) 0
(b) 1
(c) -1
(d) none

48.
Which is correct regarding the normal distribution?
(a)β1 =3
(b)β2 =3
(c)mu1=1

(d)mu3=3σ⁴  

 

49.
Second mean moment is called:
(a) mean
(b) variance
(c) Standard deviation
(d) skewness
50.
The normal distribution is --------------- distribution
(a) discrete
(b) continuous
(c) a and b
(d) none