Assertion and reason

Exercise and reference answers

Questions

1. Reason

   Two sets with the same average can be scattered quite differently.

   Verdict

   Both are true; the reason explains the assertion.

   Assertion

   An average should be quoted with a measure of spread.

2. Reason

   The mean is computed from the total of every observation.

   Verdict

   Both are true; the reason explains the assertion.

   Assertion

   One very large value pulls the mean upwards.

3. Reason

   Range is the largest value minus the smallest.

   Verdict

   The assertion is false and the reason is true.

   Assertion

   The range describes central tendency.

Explanation