Mean, Variance and Coding - Statistics 1
Coding for the Mean
Whatever number you multiply, divide, subtract, or add to each of the values in your data set, the mean will be affected in the same way.
Coding for the Variance
The variance is not affected by adding or subtracting numbers to each value in the data set. It is only affected by multiplying or dividing each number in your data set. The variance multiplies by the square of the number that you multiply each value in the data set. E.g. if each value in the data set is multiplied by 4, the variance would multiply by 42 which is 16.
Coding for the Standard Deviation
The Standard Deviation is not affected by adding or subtracting numbers to each value in the data set. It is only affected by multiplying or dividing each number in your data set. The standard deviation multiples by the same number that you multiple each value in the data set. E.g. if each value in the data set is multiplied by 4, the standard deviation would also multiply by 4.
Whatever number you multiply, divide, subtract, or add to each of the values in your data set, the mean will be affected in the same way.
Coding for the Variance
The variance is not affected by adding or subtracting numbers to each value in the data set. It is only affected by multiplying or dividing each number in your data set. The variance multiplies by the square of the number that you multiply each value in the data set. E.g. if each value in the data set is multiplied by 4, the variance would multiply by 42 which is 16.
Coding for the Standard Deviation
The Standard Deviation is not affected by adding or subtracting numbers to each value in the data set. It is only affected by multiplying or dividing each number in your data set. The standard deviation multiples by the same number that you multiple each value in the data set. E.g. if each value in the data set is multiplied by 4, the standard deviation would also multiply by 4.