1.

Prove that for a set of numbers arithmetic sequence, the mean and median are equal.

Answer»

Let a, a+d, a+3d, a+4d are the numbers of an arithmetic sequence, then median =

\(\cfrac{a+a+4d}{2}\) = \(\cfrac{2a+4d}{2}\)= a+2d

Median will be the term which is at center = a + 2d

\(\therefore\) A set of numbers in arithmetic sequence, the mean and median are equal.



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