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January 1st, 2016, 07:49 AM   #1
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What can you say about the data?

Suppose that the variance for a set of data is zero. What can you say about the data?

Variance depends on the squared difference of the individual values and the mean. Variance is zero if and only if the difference of the individual values and the mean is zero. In other words, all values in the data set must equal the mean e.g. the data set 4, 4, 4, 4, 4 has zero variance.

Am I correct? Thanks.
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January 1st, 2016, 01:02 PM   #2
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yes
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January 1st, 2016, 01:14 PM   #3
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Yes, the only way a sum of squares (of real numbers) can be 0 is if each number is 0.
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