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

anonymous · Answer

I am going with "the range of data set X is less than the range of data set Y".

The standard deviation is larger when the data set is more spread out.

anonymous · Answer

Here's an example of two curves where some of those answer choices aren't true.

anonymous · Answer

The ranges must be the same, since the range of any normal curve (for a truly continuously distributed random variable) is all real numbers.

Standard deviation appears to be the obvious choice, as it has to do with how far you would find data points from the mean.