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Maths-

General

Easy

Question

If the mean of the distribution is 2.6, then the value of y is

24
13
8
3

The correct answer is: 8

We know that, Mean $equals fraction numerator not stretchy sum subscript i equals 1 end subscript superscript n end superscript f subscript i end subscript x subscript i end subscript over denominator not stretchy sum subscript i equals 1 end subscript superscript n end superscript f subscript i end subscript end fraction$
i.e., $2.6 equals fraction numerator 1 cross times 4 plus 2 cross times 5 plus 3 cross times y plus 4 cross times 1 plus 5 cross times 2 over denominator 4 plus 5 plus y plus 1 plus 2 end fraction$
or $31.2 plus 2.6 y equals 28 plus 3 y$ or $0.4 y equals 3.2$ Þ $y equals 8$ .

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