If each of the observation x1, x2, ...,xn is increased by 'a', where a is a negative or positive number, show that the variance remains unchanged.

Question

TextVariance of Ungrouped Data

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Find the variance of the following data: 6, 8, 10, 12, 14, 16, 18, 20, 22, 24

Find the mean and variance for the data: 6, 7, 10, 12, 13, 4, 8, 12

Find the mean and variance for the data: First n natural numbers

TextVariance of Ungrouped Data

Find the mean and variance for the data: First 10 multiples of 3

The variance of 20 observations is 5. If each observation is multiplied by 2, find the new variance of the resulting observations.

The mean of 5 observations is 4.4 and their variance is 8.24. If three of the observations are 1, 2 and 6, find the other two observations.