02. If the mean of the following di...
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02. If the mean of the following distribution is 54, Find the value of P Class 0-20 20-40 40-60 60-80 80-100 Frequency 7 P 10 9 13

JEE/Engineering Exams
Maths
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Mean ( =54 ) ( frac{10 times 7+30 times 10+50 times 10+70 times 1+90 times 13=54}{7+2+10+9+13} ) ( Rightarrow frac{2370+30 P}{39+p}=54 ) ( Rightarrow 2370+30 p=2106+54 mathrm{P} ) ( Rightarrow quad 054 p-30 p=2370-210.6 ) ( Rightarrow quad 24 p=264 ) ( Rightarrow quad P=frac{26 phi^{11}}{24}=11 ) [ therefore P=11 ]
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