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] $ .