Question

Find the mean from the following table.
xi
5
6.
7
8
4
fi
3
2
1
3
2​

Answer 1

★ Required Solution:-

Here, this is a question about finding mean of the given table. We have formula for mean as follows:-

$\boxed{\sf\displaystyle Mean(\overline X)=\dfrac{\sum F_iX_i}{\sum F_i}}\bigstar$

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Here the required values for formula of mean can be obtained by following table:

$\boxed{\begin{array}{c|c|c}\bf{X_I}&\bf{F_i}&\bf{F_iX_i}\\\cline{1-3}&&&\sf5&\sf 3 &\sf 15\\\sf 6&\sf2 &\sf 12\\\sf 7&\sf 1&\sf 7\\\sf 8&\sf 3&\sf 24\\\sf 4&\sf 2&\sf 8\\\cline{1-3}&&&\bf Total &\sf\sum F_i=11&\sf \sum F_iX_i=66\end{array}}$

Here $\sum$ (Sigma) refers to sum of the given terms.

So let's put the values in formula...!!

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$\displaystyle\sf{\implies Mean(\overline X)=\dfrac{\sum F_iX_i}{\sum F_i}$

$\displaystyle\sf{\implies Mean(\overline X)=\dfrac{66}{11}}$

$\displaystyle\sf{\implies Mean(\overline X)=6}$

So the mean of the given table is 6.

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