Question

Are the following statistical statements sometimes, always or never true? If they are only sometimes true, give examples of conditions under which they are true and under which they are false. Is there some meaningful sense in which they might be 'usually' true or false? Be sure to be clear about your statistical assumptions in each case, especially in those which have a real-life basis.
1. Half of the students taking a test score less than the average mark.

Answer 1

Sometimes true.

Half of the students taking a test score less than the median mark.

But sometimes median and average are equal.