Find the median of the following data:

12,17,3,14,5,8,7,15

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Solution

12,17,3,14,5,8,7,15

$A r r a n g i n g i n a s c e n d i n g o r d e r = 3, 5, 7, 8, 12, 14, 15, 17 H e r e n = 8 w h i c h a n e v e n n u m b e r ∴ M e d i a n = \frac{1}{2} [\frac{n}{2} t h t e r m + (\frac{n}{2} + 1) t h t e r m] = \frac{1}{2} [4 t h t e r m + 5 t h t e r m] = \frac{1}{2} (8 + 12) = \frac{1}{2} \times 20 = 10$

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