Statistics And Probability Question 429
Question: The quartile deviation of daily wages (in Rs.) of 7 persons given below 12, 7, 15, 10, 17, 19, 25 is
[Pb. CET 1991, 96; Kurukshetra CEE 1997]
Options:
A) 14.5
B) 5
C) 9
D) 4.5
Show Answer
Answer:
Correct Answer: D
Solution:
The given data in ascending order of magnitude is 7, 10, 12, 15, 17, 19, 25 Here $ Q_1=\text{size of }{{( \frac{n+1}{4} )}^{th}} $ item = size of 2nd item = 10 $ Q_3=\text{size of }{{( \frac{3(n+1)}{4} )}^{th}} $ item = size of 6th item = 19 Then Q.D. $ =\frac{Q_3-Q_1}{2}=\frac{19-10}{2}=4.5 $ .
BETA
