Question

# If the mean of the following data is $$20.6$$. Find the value of $$p$$.$$x$$$$10$$$$15$$$$p$$$$25$$$$35$$$$f$$$$3$$$$10$$$$25$$$$7$$$$5$$

Solution

## Mean =$$\dfrac {\sum x_{i} f_{i}} {\sum f_{i}}$$$$\Rightarrow$$mean =$$\dfrac {(10\times 3)+(15\times 10)+(p \times 25)+(25 \times 7)+(35 \times 5)}{3+10+25+7+5}$$$$\Rightarrow$$mean =$$\dfrac {30+150+25p+175+175}{3+10+25+7+5}=20.6$$$$\Rightarrow 20.6=\dfrac {1030+25p}{50}$$$$\Rightarrow 25p=500$$$$\Rightarrow p=20$$Maths

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