Statistics And Probability Question 415
Question: The quartile deviation for the following data is
x : 2 3 4 5 6 f : 3 4 8 4 1 [AMU 1988; Kurukshetra CEE 1999]
Options:
A) 0
B) $ \frac{1}{4} $
C) $ \frac{1}{2} $
D) 1
Show Answer
Answer:
Correct Answer: D
Solution:
$ N=(\Sigma f)=20 $ $ Q_1=\frac{(N+1)}{4}th $ observation $ ={{( \frac{21}{4} )}^{th}} $ observation=3 Similarly, $ Q_3=3( \frac{N+1}{4} )\ th $ observation $ =( \frac{63}{4} )\ th $ observation = 5 Now Q.D. $ =\frac{1}{2}( Q_3-Q_1 )=\frac{1}{2}( Q_3-Q_1 ) $ $ =\frac{1}{2}(5-3)=1 $ .
BETA
