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Consider two distributions X and Y. For both distributions the mean, median, range, standard deviation, and variance are all greater than 1.

Which of the following is NOT possible?

X has a greater mean and Y has a greater standard deviation.

X has a greater range and Y has a greater standard deviation.

X has a greater variance and Y has a greater range.

X has a greater mean and Y has a greater median.

X has a greater standard deviation and Y has a greater variance.