In this session we are going to discuss about the variance of discrete random variable and Discrete Variable .Variance is defined in the statistics that is define the deviation of the data value for the given set of values that is also define as how far value from its mean or average value .
When we talk about the random discrete variable in ICSE board question papers it mean the variable that are randomly chosen and not have the specific order of occurrence .So when we define the variance of discrete random variable it will be define for the variables that not have specific order that is define as follows :
Variance is define the measure of the fairness of the data for the data set. Variance is based on the mean value of the data set that is also called as the average value for the data set.
In a given data set for any discrete random variable v, mean value is define as m and it is denoted as
E | x | = m and where E denotes the average value or mean of random variable v . For more information click here
So the expression for the variance is defined as (s) 2 = E (x - m ) 2 .
It will be more explained through an examples as :
Example : If there are a given data set S that have the variable as :
variable (set s) : s1 s2 s3 s4 s5 s6
values : 3 4 4 5 6 8
then find the variance of the set values S ?
So , mean m = å 6i = 1 si / n = 30 / 6 = 5
variance as s2 = å (x - m) 2 / n = 2.67 .
By using formula we calculate the value of variance s2 = 2.67 for discrete random variables of the set S .
In upcoming posts we will discuss about Central limit theorem and Trigonometric values of standard angles. Visit our website for information on Probability worksheets
When we talk about the random discrete variable in ICSE board question papers it mean the variable that are randomly chosen and not have the specific order of occurrence .So when we define the variance of discrete random variable it will be define for the variables that not have specific order that is define as follows :
Variance is define the measure of the fairness of the data for the data set. Variance is based on the mean value of the data set that is also called as the average value for the data set.
In a given data set for any discrete random variable v, mean value is define as m and it is denoted as
E | x | = m and where E denotes the average value or mean of random variable v . For more information click here
So the expression for the variance is defined as (s) 2 = E (x - m ) 2 .
It will be more explained through an examples as :
Example : If there are a given data set S that have the variable as :
variable (set s) : s1 s2 s3 s4 s5 s6
values : 3 4 4 5 6 8
then find the variance of the set values S ?
So , mean m = å 6i = 1 si / n = 30 / 6 = 5
variance as s2 = å (x - m) 2 / n = 2.67 .
By using formula we calculate the value of variance s2 = 2.67 for discrete random variables of the set S .
In upcoming posts we will discuss about Central limit theorem and Trigonometric values of standard angles. Visit our website for information on Probability worksheets
No comments:
Post a Comment