2014 · Q99
Consider the following statements in respect of a discrete set of numbers:
- 1The arithmetic mean uses all the data and is always uniquely defined.
- 2The median uses only one or two numbers from the data and may not be unique.
Which of the above statements is/are correct?
Elementary MathematicsStatistics
- A1 only
- B2 only
- CBoth 1 and 2
- DNeither 1 nor 2
Explanation
The mean uses every observation and is unique; the median depends on just the middle one or two observations and need not be unique (e.g. any value between the two middle observations of an even-sized set satisfies the median property).