For the data set 50, 50, 50, 50, 50 put the points into a graph. Set the lower l

Question

For the data set 50, 50, 50, 50, 50 put the points into a graph. Set the lower limit to 0 and the upper limit to 100.

Notice that the standard deviation is 0.
Explain why the standard deviation for this one is zero. Don’t show just the calculation. Explain in detailed words why the standard deviation is zero when all of the points are the same.
For the data set 50, 50, 50, 50, 50 put the points into a graph. Set the lower limit to 0 and the upper limit to 100.

Notice that the standard deviation is 0.
Explain why the standard deviation for this one is zero. Don’t show just the calculation. Explain in detailed words why the standard deviation is zero when all of the points are the same.

Explanation / Answer

The deviation of an entry x in a population data set is the difference between the entry and the mean of the data set. The above data set gives a mean of 50. So the deviation from each value is zero, which results in a standard deviation of zero. It means that there is no departure from mean at any point. It means that there is no departure from mean at any point.

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