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Home > Statistical Methods calculators > Mean deviation, Quartile deviation, Decile deviation, Percentile deviation for ungrouped data calculator
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Method and examples
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Method
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Find Mean deviation, Quartile deviation, Decile deviation, Percentile deviation for ungrouped data
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Enter Data
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Standard deviation using Direct method or Assumed mean method
Method
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- `85,96,76,108,85,80,100,85,70,95`
- `3,13,11,15,5,4,2`
- `3,23,13,11,15,5,4,2`
- `69,66,67,69,64,63,65,68,72`
- `4,14,12,16,6,3,1,2,3`
- `73,70,71,73,68,67,69,72,76,71`
- `10,50,30,20,10,20,70,30`
- `21,23,19,17,12,15,15,17,17,19,23,23,21,23,25,25,21,19,19,19`
- `2,3,7,8,8,5,5,3,7,3,1,8,6,7,4,5,6,3,2,4,3,4,9,8,3`
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Decimal Place =
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log(x)/ln(x) Option for Geometric mean =
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Solution
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Solution provided by AtoZmath.com
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Mean deviation, Quartile deviation, Decile deviation, Percentile deviation for ungrouped data calculator
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 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. Calculate Mean deviation from the following data
`10,50,30,20,10,20,70,30`Solution:Mean deviation :Mean `bar x=(sum x)/n` `=(10+50+30+20+10+20+70+30)/8` `=240/8` `=30` | `x` | `|x - bar x| = |x - 30|` | | 10 | 20 | | 50 | 20 | | 30 | 0 | | 20 | 10 | | 10 | 20 | | 20 | 10 | | 70 | 40 | | 30 | 0 | | --- | --- | | 240 | 120 |
Mean deviation of Mean `delta bar x = (sum |x - bar x|)/n` `delta bar x = 120/8` `delta bar x = 15` Coefficient of Mean deviation `=(delta bar x)/(bar x)` `=15/30` `=0.5`
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