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If the mean deviation about the median of the numbers a, 2a, ....., 50a is 50, then |a|

If the mean deviation about the median of the numbers a, 2a, ....., 50a is 50, then |a|

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1 Answers

SHAIK AASIF AHAMED
askIITians Faculty 74 Points
8 years ago
The given numbers area, 2a, …, 50a.
since the numer of terms is even, hence the median is given by
(25 + 26)/ 2 . a = 25.5 a
hence, the mean deviation about median is gievn by
2 ( | 0.5 + 1.5 + 2.5 + ….. + 24.5 |) / 50 . |a| = 50.
Hence 625 |a| = 2500
This gives |a| = 2500/625 = 4
Hence, |a| = 4.
Thanks & Regards
Shaik Aasif
askIITians Faculty

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