Statistics And Probability Question 443
Question: The upper quartile for the following distribution
Size of items | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
---|---|---|---|---|---|---|---|
Frequency | 2 | 4 | 5 | 8 | 7 | 3 | 2 |
is given by the size of
Options:
A) $ ( \frac{31+1}{4} ) $ th item
B) $ [ 2( \frac{31+1}{4} ) ] $ th item
C) $ [ 3( \frac{31+1}{4} ) ] $ th item
D) $ [ 4( \frac{31+1}{4} ) ] $ th item
Show Answer
Answer:
Correct Answer: C
Solution:
Upper Quartile = Size of $ {{[ 3\frac{(n+1)}{4} ]}^{th}} $ item = Size of $ {{[ 3( \frac{31+1}{4} ) ]}^{th}} $ item, $ [\because \Sigma f=31] $ .