There are various different problems that can occur during any solution from one of them is a case where we are not able to easily sample each and every member of a population with the help of the above equation then at this condition we require some modification within the equation by which we will be able to easily measure the random sample of population which we are studying. So, here we analyze that the notation or symbol of summation is generally meaning that you are needed to complete different operation on every value through N, now as seen in the above-given data set complete value are 5, therefore, the value of N will be equal to the 5. You will see that below this symbol there is a value written as i = 1 which is showing the starting index that means if we are having any set of data like as 1, 3, 4, 7, 8 then the value of i = 1 is equal to the 1 respective to the data set, similarly the value for i = 2 is equal to the 3 because in this set of data at the second place the digit 3 is mentioned in this way we can find the value of I for different positions. Standard Deviation symbolДЄlthough it might be new for you it is not difficult to understand, the symbol of summation is used at those places where we need to add respective values in large numbers so to gather all of them we use the summation sign. Now, in the above standard deviation equation, we see a sign like reverse Z this sign is known as the summation sign, if you are not aware of it then you will find the above equation quite difficult to understand but this is not so it is very easy and simple to understand the meaning of this symbol. In such situation we will use the below provided equation for finding or calculating the standard deviation value of the entire population.

The standard definition for the standard deviation is also expressed by the population standard deviation which is being used when the complete population is required to be calculated and which is known as the square root of the variance for any given data set like there is any case where all members of a population are taken as a sample. The calculation of standard deviation allows you to calculate the population standard deviation, the confidence interval approximations, and the sample standard deviation. We can also use the concept of standard deviation for the measurement of statistical result which is also the expression for the variability in population like as margin of the error, at this point or set up another name which is also being used for the standard deviation is the standard error of mean or the standard error of estimation in respect of the mean.

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