madalinfortmayer madalinfortmayer
  • 22-01-2022
  • Mathematics
contestada

Construct a sample (with at least two different values in the set) of 4 measurements whose variance is negative.

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jimthompson5910 jimthompson5910
  • 22-01-2022

Variance is never negative.

The standard deviation measures the spread of the data. The variance is the square of the standard deviation.

For instance, if we had a standard deviation of 5, then the variance is 25.

It's not possible to have a negative standard deviation value (because a negative spread makes no sense).

The smallest that both quantities can get is 0.

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