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#### Most Latest Normal Distribution ( Statistics ) MCQs – Up To Date Statistics MCQs

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#### Latest Statistics MCQs

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**Normal Distribution ( Statistics )****Mcqs are given below:**

**Normal Distribution ( Statistics )****The Normal Curve is asymptotic to the?**

A. None**B. X-axis**

C. Along Y=X

D. Y-axis

**Normal Distribution ?**

A. Multi Modal

B. have no Mode

C. Bi Modal

D. Tri Modal**E. Uni Modal**

**In case of symmetrical distribution?**

A. µ1=µ4**B. Mean=Mode=Median**

C. β1=β4

D. µ1=µ2

**If X ˜ N(16,49), the mean is___________?**

A. 7**B. 16**

C. 49

D. 4

**If Y=5X + 10 and X is N(10,25), then mean of Y is ?**

A. 50

B. 135

C. 70**D. 60**

**Area Under the normal curve on either side of mean is _____________?**

A. 2

B. Mean value**C. 0.5**

D. 1

E. -1

**Which of the following parameter control the relative flatness of normal distribution?**

A. Mean

B. Mode**C. Standard Deviation**

D. None

**The shape of normal curve depends upon ?**

A. Mean

B. None

C. Quartile**D. Standard Deviation**

E. Mean Deviation

**The value maximum ordinate of a standard normal curve at Z = 0 is:________?**

A. 0.5

B. 1**C. 0.3989**

D. None of these

**In a certain normal distribution having µ = 35 and variance = 16, then mode will be_______________?**

**A. 3.5**

B. 4

C. 16

D. None of these

**If “X” is normally distribution with >µ= 8 and S.D. 4, then P(6≤X≤10) may be______________?**

A. -0.32

B. 0

C. 1.2**D. 0.2684**

#### Index Number MCQs

**In normal distribution β1 = 0 and β2 is equal to _____________**

A. 1

B. 0.5

C. 2**D. 3**

**For +ve and -ve skewed, check the sign of _______?**

A. µ2

B. β1

C. β2**D. µ3**

**Total area under the normal curve is________?**

A. 50%**B. 1**

C. 100

D. 1%

**Normal distribution is _____ distribution?**

**A. Symmetrical**

B. + vely skewed

C. non-symmetrical

D. -vely skewed

**Area to the right of (z=0) is the area for ____ values of z?**

A. Negative

B. Zero**C. Positive**

D. None of these

**The standardized normal variate z means_________ away from the mean?**

A. Variance**B. S.D.**

C. Mean

D. None of these

**In a normal distribution, what is the z score associated with the mode ?**

A. +1**B. 0**

C. -1

D. None of these

**If X ˜ N (µ, σ2) then Z ˜__________?**

A. N(1, σ2)

B. N(0, σ2)**C. N(0, 1)**

D. N(1, 1)

**Normal distribution is the distribution of _______________?**

A. Qualitative variable**B. Continuous r.v.**

C. Discrete r.v.

D. Quantitative variable

**In normal distribution, mean ______= Mode?**

A. Mean deviation

B. Quartile**C. Median**

D. S.D.

**Area of normal distribution total is equal to _______?**

A. Four**B. One**

C. Two

D. Three

**Standard normal variable Z is___________?**

**A. x – µ /σ**

B. σ – x/ µ

C. µ- x /σ

D. x – σ/ µ

**Every distribution tends to ____ distribution?**

A. ∞

B. Small**C. Large**

D. Finite

**In normal distribution Q1=_________?**

A. u – .7979 (S.D.)

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

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

**If n ≥ 30 and _____ then binomial approaches to normal distribution?**

A. pq**B. p = q**

C. q/p

D. p = n

**The _____ order moments about mean are all zero?**

A. Four

B. None**C. Add**

D. Even

**In a normal distribution quartile deviation is _______ (S.D.)?**

A. .3789

B. .2745

C. .79079**D. .6745**

**In Normal distribution, the parameter which controls the flatness of the curve is____________?**

**A. µ,σ**

B. µ, MD

C. None

D. 2∏—√,e

#### Statistical Interference MCQs

**In a normal distribution E(X-µ)2 is________________?**

**A. Variance**

B. Standard Deviation

C. Mean Deviation

D. Quartile Deviation

**Shape of normal curve can be related to_______________?**

**A. Bell**

B. L

C. Circle

D. Rectangle

E. J

**We use normal distribution when “n” is________________?**

A. None

B. Small

C. Fixed**D. Large**

**Total Area under the normal curve is_______________?**

A. None**B. 1**

C. Greater than 1

D. Less than 1

E. 0

**The lower and upper quartile of standard normal variation are respectively ?**

A. -0.7979 and 0.7979**B. -0.6745 and 0.6745**

C. µ+0.6745σ and µ-0.6745σ

D. -0.7979σ and 0.7979σ

**If X N(55,49) then σ ?**

**A. 7**

B. 104

C. 55

D. 49

**The median of normal distribution corresponds to the value of Z equal to_________________?**

A. 1

B. 0.5**C. µ**

D. 0

**Mean deviation of Normal Distribution is_____________?**

**A. 45σ**

B. 78σ

C. 34σ

D. 23σ

**The area under the normal distribution curve outside the interval of z=1 and z=3.09 is_____________?**

A. None of the above

B. 0.3413**C. 0.1597**

D. 0.1477

E. 0.4990

**The normal distribution is_________?**

A. Leptokurtic

B. Platykurtic**C. Mesoukurtic**

D. None of these

**In normal distribution Q.D. ( quartile deviation)is equal to________?**

A. 0.7979 σ

B. σ**C. 0.6745 σ**

D. None of these

**P95 means _____?**

A. The point above above which 95% area lies

B. The central 95% area**C. The point above below which 95% area lies**

D. Both (a) and (b) but not (c)

#### Linear Regression MCQs

**If β1 = 0 it means the distribution is _______________?**

**A. Symmetrical**

B. -vely skewed

C. + vely skewed

D. Non of these

**The maximum of function is at_______________?**

A. X = µ + σ**B. X = µ**

C. X = σ2

D. X = 0

**As the normal distribution is symmetrical, its mean, median and mode are:____________?**

**A. Coincide**

B. Different

C. Not equal

D. Equal

**In a standard normal distribution z = 0 corresponds to _____________?**

**A. Mean**

B. M.D.

C. S.D.

D. Q.D.

**N(µ, 2σ) means normally distribution with mean u and variance2σ then (3σ, 4) means _____________?**

A. 76

B. 46**C. 36**

D. 47

**The range of normal distribution lies between _________?**

**A. -∞ to +∞**

B. -∞ to 0

C. 0 to ∞

D. None of these

**100% of values lies in the limits are equal to ______________?**

A. 20 and 70

B. 40 and 60

C. 20 and 30**D. 20 and 80**

**Normal distribution has ___________?**

A. 3 parameter**B. 2 parameter**

C. 1 parameter

D. 4 parameter

**The shape of normal distribution does depend upon _____ and variance?**

A. S/σ2

B. x**C. u**

D. 2 µ2

**P(µ – σ≤x≤µ + σ)=_________?**

**A. .6826**

B. .6745

C. .6743

D. .2345

**For a normal distribution having µ = 241 and σ = 2 P (X≥235) is:_______?**

**A. 0.9986**

B. 0.475

C. 0.5

D. 0.235

**Normal distribution has ____shaped?**

A. T-shaped**B. Bell shaped**

C. u-shaped

D. Normal shaped

**The equation of standard normal distribution is f(z)=________?**

A. 1/√2∏**B. 1/σ√2∏e -1/2×2**

C. 1/σ√2∏e 1/2×2

D. 1/σ√2∏

**In normal distribution u2 = S2 and u4 =___________?**

A. 3S

B. 3S2**C. 3S4**

D. 4S2/x

**The quartile deviation is ____ (S.D.) is normal dist?**

A. .7879

B. .6734**C. .6745**

D. .4567

**Normal distribution has ______ parameter?**

A. Four**B. Two**

C. Three

D. One

**Normal distribution is a probability distribution of _____ random variable?**

**A. Continuous**

B. Discrete

C. Constant

D. Normal