Find the median of the following data:

25,34,31,23,22,26,35,29,20,32

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Solution

25,34,31,23,22,26,35,29,20,32

$A r r a n g i n g i n a s c e n d i n g o r d e r, 20, 22, 23, 25, 26, 29, 31, 32, 34, 35 H e r e n = 10 w h i c h a n e v e n n u m b e r . ∴ M e d i a n = \frac{1}{2} [\frac{n}{2} t h t e r m + (\frac{n}{2} + 1) t h t e r m] = \frac{1}{2} [5 t h t e r m + 6 t h t e r m] = \frac{1}{2} (26 + 29) = \frac{1}{2} \times 55 = 27.5$

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