Explain the Standard Deviation
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Solution :-
Standard Deviation -
Standard Deviation of a data set is a calculated number that tells you how close, or how far, the values of the data set are in relation to the mean. It is important because it can give us more information about a data set than the mean itself will provide.
To find the Standard Deviation, you must first find the variance of the given data set. The variance is defined as the average of the sum of the squared differences for each value in the set. In other words, you find this difference between each point and the mean of the data set and then square that difference. You will do this for every number in the data set and then add all those squared values together.
Finally, you will divide the variance by either the number of items in the data set, which is usually referred to as 'n', or by one less than the number of items in the set, which is written as n - 1. What you divide by depends on whether you are calculating the variance of the whole population or just a sample. When you are calculating the variance for an entire population, divide by 'n'. For a sample of the entire population, divide by n - 1. Once you have found the variance for the data set, you can then find the Standard Deviation by taking the square root of the variance.