the ave. score of boys in examination of school is 71 and that of girls is 73. the ave. score of school in the examination is 71.8 . find the ratio of numbers of boys to the number of girls who appeared in the examination
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we know for weighted mean;
X=nx1+mx2÷n+m
let n be the no. of boys & m be the no. of girls
therefore: 71.8=71n+73m/n+m
=> 71.8(n+m)=71n+ 73m
=>0.8n=1.2m
=>n/m=1.2/0.8=3/4
3/4 is the reqd ratio of no. of boys to no. of girls
X=nx1+mx2÷n+m
let n be the no. of boys & m be the no. of girls
therefore: 71.8=71n+73m/n+m
=> 71.8(n+m)=71n+ 73m
=>0.8n=1.2m
=>n/m=1.2/0.8=3/4
3/4 is the reqd ratio of no. of boys to no. of girls
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