Mean and median The figure below displays two density curves, each with three points marked. At which of these points on each curve do the mean and

the median fall?

A density curve is the graph of a continuous distribution.

A is the mean, and A is also the median (the distribution is symmetric).

Because the peak lies in the Centre of the graph, we can conclude that it is symmetric. The mean and median of asymmetric distribution are both in the middle, and so at the distribution's peak. As a result, both the mean and the median must be at A. This then implies that the mean and median both have to occur at A.

A is the average, and B is the median (the left skew pulls the mean to the left ).

We can see that the given graph is skewed to the left since the distribution's peak is to the right and there is a tail of more odd numbers to the left.

A left-skewed distribution's mean and median will both be to the left of the distribution's peak.

The more unusual values to the left in the distribution will affect the mean more than the median, causing the mean to be smaller than the median.

As a result, the mean must be A and the median must be B.