600 candidates were appeared in an examination. The boys outnumbered g

Question

600 candidates were appeared in an examination. The boys outnumbered girls by 15% of all candidates. Number of passed exceeded the number of failed candidates by 300. Boys failing in the examination numbered 80. Determine the coefficient of association.

04 Feb 2023

Answer :

Word Count : 379

Let boys be denoted by A so girls are denoted by α

Let the success in examination be denoted by B so that failure in examination is denoted by β .

Data given are

(i) Boys outnumber girls by 16% of the total is

$= frac{15 imes 600}{100} = 90$

by condition we have (A) – ( α ) = 90

Also we have (A) + ( α ) = 600

$herefore$ 2 (A) = 600+90

$Rightarrow left ( A ight )=frac{690}{2}=345$

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Class:	Below 30	30-40	40-50	50-60	60-70	70-80	80 and above
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