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The mean of the following distribution i...

The mean of the following distribution is 50.

Find the value of a and hence the frequencies of 30 and 70.

Text Solution

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The correct Answer is:
a=5, `f_(30)=28,f_(70) =24`
` (170+30(5a+3) +1600 +70 (7a -11) +1710)/(60 +12a) =50`
` Rightarrow = 64a +2800 = 3000 +600a Rightarrow 40a = 200 Rightarrow a=5`
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