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For a set of numbers in arithmetic sequence, which statement about the mean and median is true?
Answer & Solution
Correct answer: D.
1. In an arithmetic sequence the values are symmetric about the central term(s).
2. The mean averages the endpoints, which equals the centre by symmetry.
3. The median picks the central value(s), also the centre by symmetry.
4. So mean and median coincide for any arithmetic sequence.
5. The unit lists this as a result to prove (Question 3 on page 245).
_Source: SCERT Kerala Std X Mathematics Part-2, Chapter 9-11 (pp 227-246, 2019 ed.)._
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