
Covariance between and if , , , is
A.
B.
C.
D.None of these
Answer
421.2k+ views
Hint: In this question, we have to calculate the value of covariance between and . We will use the formula for calculation of covariance. We simply put the required values into the formula and solve to get the desired result.
Formula used:
Complete step-by-step answer:
This question is based on covariance. Covariance in statistics is the measurement of the relationship between two variables. For example, we know that when demand rises and as a result production of goods rises. Thus we can say demand and production have some relationship. This measurement of relationship is called covariance.
When we are given the summation of some terms, then the covariance between and , is given by the formula Where is the number of terms.
Consider the given question,
We are given, , , ,
We know that the covariance between two variable say and is given by the formula
, Where is the number of terms.
Putting the values, we get
Using the BODMAS Rule, we will first divide.
On dividing by we get , by we get and by we get . Hence we have
On multiplying, we get
On solving, we get
Hence Option is correct.
So, the correct answer is “Option C”.
Note: The general formula of covariance between two number is given by formula where is the data values of , is the data values of , is the mean of data and is the mean of the data .
Covariance of the variable with is the same as the covariance of with . i.e.
Covariance of the variable with itself is zero. i.e.
Covariance may be positive, negative and zero also.
Formula used:
Complete step-by-step answer:
This question is based on covariance. Covariance in statistics is the measurement of the relationship between two variables. For example, we know that when demand rises and as a result production of goods rises. Thus we can say demand and production have some relationship. This measurement of relationship is called covariance.
When we are given the summation of some terms, then the covariance between
Consider the given question,
We are given,
We know that the covariance between two variable say
Putting the values, we get
Using the BODMAS Rule, we will first divide.
On dividing
On multiplying, we get
On solving, we get
Hence Option
So, the correct answer is “Option C”.
Note: The general formula of covariance between two number is given by formula
Covariance of the variable
Covariance of the variable with itself is zero. i.e.
Covariance may be positive, negative and zero also.
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