Home > Statistical Methods calculators > Mean deviation, Coefficient of Mean deviation for ungrouped data example

Mean deviation, Coefficient of Mean deviation for ungrouped data Example-3 ( Enter your problem )
  1. Formula & Example-1
  2. Example-2
  3. Example-3
  4. Example-3
Other related methods
  1. Mean, Median and Mode
  2. Quartile, Decile, Percentile, Octile, Quintile
  3. Population Variance, Standard deviation and coefficient of variation
  4. Sample Variance, Standard deviation and coefficient of variation
  5. Population Skewness, Kurtosis
  6. Sample Skewness, Kurtosis
  7. Geometric mean, Harmonic mean
  8. Mean deviation, Coefficient of Mean deviation
  9. Quartile deviation, Coefficient of QD, Interquartile range
  10. Decile deviation, Coefficient of DD, Interdecile range
  11. Percentile deviation, Coefficient of PD, Interpercentile range
  12. Five number summary
  13. Box and Whisker Plots
  14. Construct an ungrouped frequency distribution table
  15. Construct a grouped frequency distribution table
  16. Maximum, Minimum
  17. Sum, Length
  18. Range, Mid Range
  19. Stem and leaf plot
  20. Ascending order, Descending order

2. Example-2
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4. Example-3
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3. Example-3





3. Calculate Mean deviation, Coefficient of M.D. 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|`
732
701
710
732
683
674
692
721
765
710
------
`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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