The spread of data set X is greater than the spread of data set Y, and the data sets are normally distributed. Which statement is true? The mean of data set X is greater than the mean of data set Y. The median of data set X is less than the median of data set Y. The standard deviation of data set X is greater than the standard deviation of data set Y. The range of data set X is less than the range of data set Y. The mode of data set X is greater than the mode of data set Y.

Question

Answer:

The standard deviation is a measure of how far dispersed around the mean the individual parts of a distribution are. Therefore, because data set X has a greater spread, its standard deviation is going to be greater than that of data set Y. Items such as the mean, median, or mode are measures of central tendency and do not impact the standard deviation.

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general 10 months ago 1916