Question

If the shape of a histogram is right-skewed, which value is larger? Mean or median?

Answer 1

If the histogram is right skewed, it means that most of the values will be to the left and some of the values are higher and will be to the right, and therefore we get a tail to the right.

For eg, 11, 11, 12, 13 15, 17, 20, 25, 25

This is a simple example, where we see that the mean = 16.56 and the median = 5th value = 15

So in a right skewed distribution, Mean is always > Median

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(In a left skewed distribution, the exact opposite happens. Here, there a few values in the starting which causes a tail, and the bulk of the values are higher. The lower values pulls the mean value down, and therefore in a left skewed distribution or histogram, mean is < median)