Home > Statistical Methods calculators > Mean deviation, Quartile deviation, Decile deviation, Percentile deviation for ungrouped data calculator

 Solve any problem (step by step solutions) Input table (Matrix, Statistics)
Mode :
SolutionHelp
Solution
 Problem: coefficient of decile deviation {1,2,3,2,3,6} [ Calculator, Method and examples ]Solution:Your problem -> coefficient of decile deviation {1,2,3,2,3,6}Decile deviation :Arranging Observations in the ascending order, We get :1, 2, 2, 3, 3, 6Here, n = 6D_1 = ((n+1)/10)^(th) value of the observation=(7/10)^(th) value of the observation=(0.7)^(th) value of the observation=0^(th) observation  + 0.7 [1^(st) - 0^(th)]=0 + 0.7 [1 - 0]=0 + 0.7 (1)=0 + 0.7=0.7D_9 = ((9(n+1))/10)^(th) value of the observation=((9*7)/10)^(th) value of the observation=(6.3)^(th) value of the observation=6^(th) observation  + 0.3 [7^(th) - 6^(th)]=6 + 0.3 [0 - 6]=6 + 0.3 (-6)=6 + -1.8=4.2Inter Decile range =D_9 - D_1=4.2-0.7=3.5Decile deviation =(D_9 - D_1)/2=(4.2-0.7)/2=3.5/2=1.75Coefficient of Decile deviation =(D_9 - D_1)/(D_9 + D_1)=(4.2-0.7)/(4.2+0.7)=3.5/4.9=0.7143

Solution provided by AtoZmath.com
Any wrong solution, solution improvement, feedback then Submit Here
Want to know about AtoZmath.com and me