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

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

3. Example-3
(Previous example)
13. Quartile deviation, Coefficient of QD, Interquartile range
(Next method)

4. Example-4





4. Calculate Mean deviation, Coefficient of M.D. from the following data
`3,23,13,11,15,5,4,2`


Solution:
Mean deviation :
Mean `bar x=(sum x)/n`

`=(3+23+13+11+15+5+4+2)/8`

`=76/8`

`=9.5`

`x``|x - bar x| = |x - 9.5|`
36.5
2313.5
133.5
111.5
155.5
54.5
45.5
27.5
------
`76``48`


Mean deviation of Mean
`delta bar x = (sum |x - bar x|)/n`

`delta bar x = 48/8`

`delta bar x = 6`


Coefficient of Mean deviation `=(delta bar x)/(bar x)`

`=6/9.5`

`=0.6316`








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3. Example-3
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13. Quartile deviation, Coefficient of QD, Interquartile range
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