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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When there is no variation in the data, all the values are the same. Therefore, the highest and lowest values are the same, as well as the upper and lower quartiles, making the range and interquartile range equal to zero. Additionally, the variance and standard deviation require variation in the data to be calculated, so if there is no variation, then both measures will also be zero.

If the Values Are All the Same (So That There