Question

State the likely relative positions of the mean, median, and mode for the following distributions:

Family income in large city

Scores on a very easy exam

Heights of a large group of 25-year old males

The number of classes skipped during the year for a large group of undergraduate

Answer 1

Family Income in a large city:

As we know that only a few of the peoples have very high income. And most of the people have an average income. As the income increases the number of persons in the income range will be less. It means that it will show the positively skewed or skewed to the right distribution. The positions of mean, median and mode will be:

Scores on a very easy exam:

It is certain that if an exam is easy the number of people who score good marks will be high, which will result in left skewed distribution. Hence the positions will be:

Heights of a large group of 25-year old males :

Very few people have a short height, also very few people have long height. Most of the persons have an average height. So it may be concluded that the distribution will be symmetric.

The number of classes skipped during the year for a large group of undergraduate:

We know that attendance is higher when the college opens. And it decreases slightly, So it may be concluded that it is right-skewed. But during the end exams, it is at its peak. If we consider this point. It may be concluded that it is bimodal.