find out the interquartile range, quartile deviation and coefficient of quartile deviation from the following data. 7, 10, 12, 15, 16, 18, 21, 25, 30, 35

Dear student 
 
X 7 10 12 15 16 18 21 25 30 35


Q1 =Size of N+14th item     =Size of 10 + 14thitem = 2.75 thitem =2ndvalue + 0.75 (3rdvalue - 2ndvalue)  = 10 + 0.75 (2 - 10)   = 10 + 0.75 ×2 = 11.5Q3 =Size of 3N+14th item     =Size of 310 + 14thitem = 8.25 thitem =8thvalue + 0.25 (9thvalue - 8thvalue)  = 25 + 0.25 (30- 25)   = 25 + 0.25 ×5 = 26.25a. Interquartile Range  = Q3 - Q1                         = 26.25 - 11.5= 14.75b. Quartile Deviation =  Q3 - Q12= 26.25 -11.52 = 7.375c.Coefficient of Quartile Deviation =  Q3 - Q1Q3 + Q1=14.7526.25 + 11.5=0.39
Regards

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