The mean of ungrouped frequency distribution is- xi 3 4 6 10 11- fi 6 5 7 8 6- -

[ x_i amp; f_i amp; f_ix_i; 3 amp; 6 amp; 18; 4 amp ...

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Standard IX

Mathematics

Mean

The mean of u...

Question

The mean of ungrouped frequency distribution is
$\begin{matrix} x_{i} & 3 & 4 & 6 & 10 & 11 f_{i} & 6 & 5 & 7 & 8 & 6 \end{matrix}$

7.0625

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9.025

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10.85

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8.0625

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Solution

The correct option is A 7.0625
$\begin{matrix} x_{i} & f_{i} & f_{i} x_{i} 3 & 6 & 18 4 & 5 & 20 6 & 7 & 42 10 & 8 & 80 11 & 6 & 66 \sum f_{i} = 32 & \sum f_{i} x_{i} = 226 \end{matrix}$

$∴ Mean = \frac{\sum_{i = 1}^{n} f_{i} x_{i}}{\sum_{i = 1}^{n} f_{i}}$
$= \frac{226}{32}$
= 7.0625
Hence, the correct answer is option (a).

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The mean of ungrouped frequency distribution is xi3461011fi65786

The correct option is A 7.0625xififixi3618452067421088011666∑fi=32∑fixi=226 ∴Mean=∑ni=1fixi∑ni=1fi =22632 = 7.0625 Hence, the correct answer is option (a).

The mean of ungrouped frequency distribution is
$\begin{matrix} x_{i} & 3 & 4 & 6 & 10 & 11 f_{i} & 6 & 5 & 7 & 8 & 6 \end{matrix}$