If the values are all the same (so that there is no variation in the data),the range,interquartile range,variance and standard deviation will all equal zero.

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Quizplus · Accepted Answer

This is because these measures of spread and variability rely on the differences between values in the data set to calculate their value. If there is no variation, then there are no differences between values, resulting in all of these measures being zero.

If the Values Are All the Same (So That There