Find the median of the following data: 41,43,127,99,61,92,71,58,57.If 58 is replaced by 85, what will be the new median?

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Solution

41,43,127,99,61,92,71,58,57

$A r r a n g i n g i n a s c e n d i n g o r d e r, 41, 43, 57, 58, 61, 71, 92, 99, 127 H e r e n = 9 w h i c h a n o d d n u m b e r . ∴ M e d i a n = \frac{n + 1}{2} t h t e r m = \frac{10}{2} t h t e r m = 5 t h t e r m = 61 B y c h a n g i n g 58 b y 85, w e g e t n e w o r d e r = 41, 43, 57, 61, 71, 85, 92, 99, 127 ∴ M e d i a n = 5 t h t e r m = 71$

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