12th class statistics chapter 10,Normal Distribution,important definitions and short questions,2nd year class statistics

 

 Here you will see important short   questions and important definitions of chapter 10 Normal Distribution.

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12th class statistics chapter 10,Normal Distribution,important definitions and short questions,2nd year class statistics

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Chapter 10: Normal Distribution

These are very important   question  according to paper pattern.

 Q.1 Define normal distribution.

Ans: Normal distribution is defined as a limiting form of binomial distribution when n  30 and p
q. It is a distribution of continuous random variable. The p.d.f. or equation of normal
distribution is:

 

Q.2 Give background of Normal Distribution.

Ans:Normal distribution is also called Gaussian distribution in honor of Karl F Gauss who derived
its equation. Karl Pearson named it normal distribution, in 1830.
Q.3 What is the range of normal variable?


Q.4 What are the parameters of Normal distribution?



Q.5 What is the shape of normal distribution?

Ans: It is uni-modal and bell shaped distribution.

Q.6 Define normal frequency distribution.

Ans: If normal distribution is multiplied by number of experiments "N" then resulting distribution
is known as normal frequency distribution.

Q.7 What is standard normal variable?



Q.8 What is standard normal distribution?

Ans: Probability distribution of standard normal variable "Z" is called standard normal
distribution. Its p.d.f. or equation is:





Q.9 What is the importance of Normal distribution?

Ans: It is used in applied Statistics. Many variables follow the normal distribution. Accurate
approximation to probability laws.
Q.10 How you define normal curve?

Ans:The graph of a normal probability density function is called a normal curve.

Q.11 When the shape of normal distribution remain same?

Ans: If “

µ” is held constant and “ σ ” is varied the shape of the density function remains the

same.

Q.12 What is the total area of normal curve?

 Ans:Total area of normal curve is unity(1).
Q.13 What is the median and mode of the normal distribution?

Ans: Median and Mode of the normal distribution is equal to mean( µ ).

Q.14 Normal distribution is mesokurtic, explain*

Ans: The normal curve is neither very peaked nor very flat-topped, and then it is called
mesokurtic.

Q.15 What are the points of inflexion in normal distribution?

Ans: These are two points equidistance from mean i,e  µ + σ and  µ - σ.

Q.16 Write the equation of maximum ordinate of normal distribution.

Q.17 Write the maximum ordinate of standard normal curve.

Ans: The maximum ordinate of standard normal curve is


Q.18 What is the relation between mean deviation and standard normal of curve?

Ans: The relation between mean deviation and standard normal of curve is M.D = 0.7979 

Q.19 What is the relation between Quartile deviation and standard normal of curve?

Ans: The relation between Quartile deviation and standard normal of curve is Q.D = 0.6745σ

 Q.20 What is the lower and upper quartile of standard normal distribution?

 Ans: The lower quartile is -0.6745 and upper quartile is 0.6745.

Q.21 What is the lower and upper quartile of normal distribution*



Q.22 What is the standard deviation of normal distribution*

Ans: The value of standard deviation is
Q.23 What is the value of quartile deviation of the normal distribution?

Ans: The value of quartile deviation of the normal distribution is



Q.24 What are the first 4 moments about mean of the normal distribution?

Q.25 Give co-efficient of skewness and kurtosis of the normal distribution.



Q.26 Give all odd order moment about mean of normal distribution?

Ans: All odd order moment about mean are