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Home > Statistical Methods calculators > Mean deviation, Quartile deviation, Decile deviation, Percentile deviation for ungrouped data example
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Mean deviation, Coefficient of Mean deviation Example for ungrouped data
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- Mean deviation, Coefficient of Mean deviation Example
- Quartile deviation, Coefficient of Quartile deviation Example
- Decile deviation, Coefficient of Decile deviation Example
- Percentile deviation, Coefficient of Percentile deviation Example
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Other related methods
- Mean, Median and Mode
- Quartile, Decile, Percentile, Octile, Quintile
- Population Variance, Standard deviation and coefficient of variation
- Sample Variance, Standard deviation and coefficient of variation
- Population Skewness, Kurtosis
- Sample Skewness, Kurtosis
- Geometric mean, Harmonic mean
- Mean deviation, Quartile deviation, Decile deviation, Percentile deviation
- Five number summary
- Box and Whisker Plots
- Construct an ungrouped frequency distribution table
- Construct a grouped frequency distribution table
- Maximum, Minimum
- Sum, Length
- Range, Mid Range
- Stem and leaf plot
- Ascending order, Descending order
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1. Mean deviation, Coefficient of Mean deviation Example
1. 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`
2. Calculate Mean deviation from the following data
`85,96,76,108,85,80,100,85,70,95`
Solution:
Mean deviation :
Mean `bar x=(sum x)/n`
`=(85+96+76+108+85+80+100+85+70+95)/10`
`=880/10`
`=88`
| `x` | `|x - bar x| = |x - 88|` | | 85 | 3 | | 96 | 8 | | 76 | 12 | | 108 | 20 | | 85 | 3 | | 80 | 8 | | 100 | 12 | | 85 | 3 | | 70 | 18 | | 95 | 7 | | --- | --- | | 880 | 94 |
Mean deviation of Mean
`delta bar x = (sum |x - bar x|)/n`
`delta bar x = 94/10`
`delta bar x = 9.4`
Coefficient of Mean deviation `=(delta bar x)/(bar x)`
`=9.4/88`
`=0.1068`
3. Calculate Mean deviation from the following data
`73,70,71,73,68,67,69,72,76,71`
Solution:
Mean deviation :
Mean `bar x=(sum x)/n`
`=(73+70+71+73+68+67+69+72+76+71)/10`
`=710/10`
`=71`
| `x` | `|x - bar x| = |x - 71|` | | 73 | 2 | | 70 | 1 | | 71 | 0 | | 73 | 2 | | 68 | 3 | | 67 | 4 | | 69 | 2 | | 72 | 1 | | 76 | 5 | | 71 | 0 | | --- | --- | | 710 | 20 |
Mean deviation of Mean
`delta bar x = (sum |x - bar x|)/n`
`delta bar x = 20/10`
`delta bar x = 2`
Coefficient of Mean deviation `=(delta bar x)/(bar x)`
`=2/71`
`=0.0282`
This material is intended as a summary. Use your textbook for detail explanation.
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