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Solution
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Solution provided by AtoZmath.com
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Mean deviation about Mean for ungrouped data calculator
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Find Mean deviation about mean for of the following observations.
1. 85,96,76,108,85,80,100,85,70,95
2. 3,13,11,11,5,4,2
3. 3,23,13,11,15,3,5,4,2
4. 69,66,67,69,64,63,65,68,72
5. 4,14,12,16,6,3,1,2,3
6. 73,70,71,73,68,67,69,72,76,71
7. 10,50,30,20,10,20,70,30
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Example1. Find Mean deviation about Mode from the following ungrouped data `85,96,76,108,85,80,100,85,70,95`Solution:Mode : In the given data, the observation `85` occurs maximum number of times (`3`) `:. Z = 85` | `x` | `|x - Z| = |x - 85|` | | 85 | 0 | | 96 | 11 | | 76 | 9 | | 108 | 23 | | 85 | 0 | | 80 | 5 | | 100 | 15 | | 85 | 0 | | 70 | 15 | | 95 | 10 | | --- | --- | | `880` | `88` |
Mean deviation of Mode `delta bar x = (sum |x - Z|)/n` `delta bar x = 88/10` `delta bar x = 8.8` Coefficient of Mean deviation `=(delta bar x)/(bar x)` `=8.8/85` `=0.1035`
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