Math, asked by niteshshaw723, 2 months ago

please answer this question​

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Answered by divyagrover39
4

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hope my answer helps you..

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Answered by AestheticSky
23

 \bigstar \purple {\underline{ \pmb{ \bf required \: answer }}} \bigstar

❍ We are going to use direct method for the sake of simplicity and to avoid complications.

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Formula for Direct method is as follows:-

 \rightarrow \underline{ \boxed{ \pink{{ \frak{mean =  \dfrac{Σfixi}{Σfi}}}}}} \bigstar

(fi) symbolises frequency

(xi) symbolises class mark which is calculated as:-

\rightarrow \underline{ \boxed{ \pink{{ \frak{class \: mark =  \dfrac{upper \: limit + lower \: limit}{2}}}}}} \bigstar

Σ is the symbol of summation which means sum.

Σfi is the sum of all the entire frequency

Σfixi is the addition of fixi category which involves addition of class mark and frequency

Now, The required table is as follows:-

\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\boxed{\begin{array}{cccc}\sf \pink{ literacy \: rate} &\sf \purple{frequency_{(fi)}} &\sf \red{class \: mark_{\:(xi)}} &\sf \blue{fixi}\\\frac{\qquad \qquad \qquad \qquad}{}&\frac{\qquad \qquad \qquad \qquad}{}&\frac{\qquad \qquad \qquad \qquad\qquad}{}&\frac{\qquad \qquad \qquad \qquad\qquad}{}\\\sf 45 - 55 &\sf 4&\sf 50&\sf 200  \\ \\\sf 55 - 65 &\sf 11&\sf 60&\sf 660\\\\\sf 65 - 75 &\sf 12&\sf 70&\sf 840\\\\\sf 75 - 85&\sf 9&\sf 80&\sf  720 \\\\\sf 85 - 95 \: &\sf 4 \: &\sf 40 \: &\sf 360\\\\\sf &\sf Σfi = 40 &\sf & \sf Σfixi =2780 \end{array}}\end{gathered}\end{gathered}\end{gathered}\end{gathered}

  \:  \:  \:  \:  \:  \:  \:  \:  \dag \underline \frak{substituting \: the \: required \: value \: in \: the \: formula :  - }

 :  \implies \sf mean =  \dfrac{278 0}{40}

 :  \implies \sf mean =  \dfrac{278 \cancel0}{4 \cancel0}

 :  \implies {\boxed{ \pink{ {\frak{ mean = 69.5\%}}}}} \bigstar

 \therefore \underline{ \sf 69.5\% \: is \: our \: required \: answer}

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I hope it's beneficial :D

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