Q.

Following are the marks obtained by 9 students in a Mathematics test 50, 69,20,33, 53, 39, 40,65,59 The mean deviation from the median is

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answer is 12.67.

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Detailed Solution

Firstly, given marks are arranged in ascending order 20, 33, 39, 40, 50, 53, 59, 65, 69∴  Median, Md=9+12 th term =5 th term =50∴ Mean deviation, MD=∑i=19 xi−Mdn|20−50|+|33−50|+|39−50|+|40−50|+∣50=−50|+|53−50|+|59−50|+|65−50|+|69−50∣9=30+17+11+10+0+3+9+15+199=1149=12.67
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