Home > Statistical Methods calculators > Decile deviation, Coefficient of decile deviation, Interdecile range, Semi-interdecile range for ungrouped data example

Decile deviation, Coefficient of decile deviation, Interdecile range, Semi-interdecile range for ungrouped data Formula & Example-1 ( 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

9. Quartile deviation, Coefficient of QD, Interquartile range
(Previous method)
2. Example-2
(Next example)

1. Formula & Example-1





1. Calculate Decile deviation, Coefficient of D.D., Interdecile range from the following data
`10,50,30,20,10,20,70,30`


Solution:
Decile deviation :
Arranging Observations in the ascending order, We get :
`10,10,20,20,30,30,50,70`

Here, `n=8`

`D_1 = ((n+1)/10)^(th)` value of the observation

`=(9/10)^(th)` value of the observation

`=(0.9)^(th)` value of the observation

`=0^(th)` observation `+0.9[1^(st)-0^(th)]`

`=0+0.9[10-0]`

`=0+0.9(10)`

`=0+9`

`=9`



`D_9 = ((9(n+1))/10)^(th)` value of the observation

`=((9*9)/10)^(th)` value of the observation

`=(8.1)^(th)` value of the observation

`=8^(th)` observation `+0.1[9^(th)-8^(th)]`

`=70+0.1[70-70]`

`=70+0.1(0)`

`=70+0`

`=70`



InterDecile range `=D_9 - D_1=70-9=61`

Decile deviation `=(D_9 - D_1)/2=(70-9)/2=61/2=30.5` (Semi-InterDecile range)

Coefficient of Decile deviation `=(D_9 - D_1)/(D_9 + D_1)=(70-9)/(70+9)=61/79=0.7722`





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9. Quartile deviation, Coefficient of QD, Interquartile range
(Previous method)
2. Example-2
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