ACT Math · Statistics and data analysis

For the data set 3, 4, 5, 6, 50, how do the mean and median compare?

For the data set 3, 4, 5, 6, 50, how do the mean and median compare?

Answer and explanation

Answer: A: The mean is greater than the median.

The mean is 3+4+5+6+505=685=13.6\frac{3+4+5+6+50}{5}=\frac{68}{5}=13.6. The median is the middle value of the ordered list, which is 55. The mean is greater than the median, choice A. The extreme value 5050 pulls the mean upward, but it has no effect on the median because only its position at the end matters. Choice B reverses the comparison. Choice C would require a balanced data set. Choice D is false because the median of an odd number of values is simply the middle one. This is why a skewed data set has a mean pulled toward the long tail.

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