Find quartile deviation for the following:
391 384 591 407 672 522 777 733 1490 2488
Answers
Here is the solution for the Quartile deviation for the following data:
391, 384, 591, 407, 672, 522, 777, 733, 1490, 2488.
Step-by-step explanation:
Formula : Quartile deviation = (Q3-Q1/ 2)
Coefficient of quartile deviation = (Q3-Q1/Q3+Q1)
Q1= Size of (N+1/4th) term
Q3=Size of 3(N+1/4th) term
Method:
Numbers in order:
384,391,407,522,591,672,773,777,1490,2488
n= number of terms
n = 10 (even)
n/2 = (591+671)/2
= 1263/2
= 927
Q1= (N+1/4)
= 11/4
=2.3th term
Q3 = 3(N+1/4)
= 3(2.3)
= 6.9th term
Q1 = 2nd term
Q3 = 7th term
Quartile deviation = (672 - 391)/2
= 281/2
Q.D = 140.5
Co efficient of quartile deviation = (773 - 391)/ (773 + 391)
= 382/1164
CO-EFFICIENT OF Q.D = 0.328178
The quartile deviation of the given data is 140.5