Q.In a positively skewed distribution, which of the following relationships between the averages is correct?

In a positively skewed distribution the long right tail pulls the mean up above the median, which lies above the mode.

In a positively (right) skewed distribution a few large values stretch the right tail. The mode stays at the peak where the data pile up (smallest of the three); the median, the middle value, lies above the mode; and the mean, being pulled towards the large extreme values, is dragged the furthest right and is therefore the largest. Hence $\text{Mean} > \text{Median} > \text{Mode},$ which is option (c). …

Confusing the direction of skewness with the direction of the inequality. 'Positive' skew has the tail on the right and the mean pulled to the right (largest); it is easy …