If mean of following frequency, distribution is $2.6$ , then value of
$x_{i}$ $1$ $2$ $3$ $4$ $5$
$f_{i}$ $5$ $4$ $f$ $2$ $3$

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Solution

Mean $= \frac{\sum x_{i} f_{i}}{\sum x_{i}}$
$2.6 = \frac{(1 \times 5) + (2 \times 4) + (3 \times f) + (4 \times 2) + (5_{2} \times 3)}{1 + 2 + 3 + 4 + 5}$
$f = 1$ .

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