Same chapter3 marksDifficulty: Medium
Define the range of a set of observations and find the range of 14, 9, 22, 5 and 18.
Statistics
3 marksDifficulty: Medium
State one situation in which the median is a better measure of central tendency than the mean, and explain why.
Original Khojo Papers practice question — not from a past board paper.
Answer
The median is better when the data contain a few extreme values, as with incomes in a town where a small number of very large incomes pull the mean upwards. The median depends only on the position of the middle observation, so it is not distorted by those extremes.
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Explanation
The mean uses the size of every observation, which is a strength when the data are symmetric and a weakness when they are not.
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