If the distribution is not symmetric, the mean will be different from the median.
A negatively skewed distribution will have a mean hat is smaller than the median, provided it is unimodal.
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definantly, yes Of course. 1, 2, 3, 40, 50, 60, 82 Mean = 34 Median = 40
The question is how do the mean and median affect the distribution shape. In a normal curve, the mean and median are both in the same point. ( as is the mode) If a distribution is skewed, its tail is either on the right or the left. If a distribution is skewed the median may be a better value to use than the mean since it has less effect on the shape. Also is there are large outliers, the median has less effect and is better to use. So the mean has a bigger effect on the shape many times than the median.
(1, 5, 97, 99, 100, 100) The mode is 100. The median is 98. The mean is 67.
When the distribution has outliers. They will skew the mean but will not affect the median.
can the median be less than the range