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Maths-

General

Easy

Question

Consider the frequency distribution of the given number

If the mean is known to be ' 3 , then the value of f is

3
7
10
14

hint Hint:

Use formula
$M e a n space equals space fraction numerator stack sum f subscript i x subscript i with blank below over denominator stack sum f subscript i with blank below end fraction$

The correct answer is: 14

Given :

Mean = 3
To find f, use formula
$M e a n space equals space fraction numerator stack sum f subscript i x subscript i with blank below over denominator stack sum f subscript i with blank below end fraction space equals space fraction numerator 1 cross times 5 space plus space 2 cross times 4 space plus space 3 cross times 6 space plus space 4 f over denominator 15 space plus space f end fraction 3 space equals space fraction numerator 31 space plus space 4 f over denominator 15 space plus space f end fraction 45 space plus space 3 f space equals space fraction numerator 31 space plus space 4 f over denominator blank end fraction f space equals space 14$

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