Mean MCQ3

Yes, age of death is a left-skewed distribution. The mean is lower than the median/mode due to the long tail of a small proportion dieing very young relative to the mode. The other name for left-skewed is “negatively skewed” (mean<median<mode).

In contrast adult heights are roughly “normally” distributed around the mean. Mean, median and mode are quite close.

For the other two examples… some people will have hardly any sunspots but a few will have a really large number, same for cor-blimey… most UK people don’t ever say this but a small number of people who have this phrase as part of their everyday speech. Both cases with have larger means than medians or modes.

One more questions about understanding how these three methods of describing the average relate to one another.

You are analysing a dataset with the following characteristics: Mean = 60, Median = 55, Mode = 50. What can you infer about the distribution?