Home > Statistical Methods calculators > Percentile deviation, Coefficient of percentile deviation, Interpercentile range, Semi-interpercentile range for ungrouped data example

Percentile deviation, Coefficient of percentile deviation, Interpercentile range, Semi-interpercentile 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

10. Decile deviation, Coefficient of DD, Interdecile range
(Previous method)
2. Example-2
(Next example)

1. Formula & Example-1





1. Calculate Percentile deviation, Coefficient of P.D., Interpercentile range from the following data
`10,50,30,20,10,20,70,30`


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

Here, `n=8`

`P_10 = ((10(n+1))/100)^(th)` value of the observation

`=((10*9)/100)^(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`



`P_90 = ((90(n+1))/100)^(th)` value of the observation

`=((90*9)/100)^(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`



InterPercentile range `=P_90 - P_10=70-9=61`

Percentile deviation `=(P_90 - P_10)/2=(70-9)/2=61/2=30.5` (Semi-InterPercentile range)

Coefficient of Percentile deviation `=(P_90 - P_10)/(P_90 + P_10)=(70-9)/(70+9)=61/79=0.7722`





This material is intended as a summary. Use your textbook for detail explanation.
Any bug, improvement, feedback then Submit Here



10. Decile deviation, Coefficient of DD, Interdecile range
(Previous method)
2. Example-2
(Next example)





Share this solution or page with your friends.
 
 
Copyright © 2025. All rights reserved. Terms, Privacy
 
 

.