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Standard XIII

Mathematics

Mean

The mean of t...

Question

The mean of the marks obtained by $250$ students in mathematics was $50.$ The mean marks of the top $50$ students and the last $100$ students were $75$ and $25$ respectively. Then the mean mark of the remaining $100$ students is

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Solution

Overall mean $= 50$
Let mean marks of the remaining $100$ students be $x$ .
$∴ 50 = \frac{50 \times 75 + 100 \times 25 + 100 \times x}{250}$
$\Rightarrow 100 x = 6250 \Rightarrow x = 62.5$

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The mean of the marks obtained by 250 students in mathematics was 50. The mean marks of the top 50 students and the last 100 students were 75 and 25 respectively. Then the mean mark of the remaining 100 students is

Overall mean =50 Let mean marks of the remaining 100 students be x. ∴50=50×75+100×25+100×x250 ⇒100x=6250⇒x=62.5

The mean of the marks obtained by $250$ students in mathematics was $50.$ The mean marks of the top $50$ students and the last $100$ students were $75$ and $25$ respectively. Then the mean mark of the remaining $100$ students is

Overall mean $= 50$
Let mean marks of the remaining $100$ students be $x$ .
$∴ 50 = \frac{50 \times 75 + 100 \times 25 + 100 \times x}{250}$
$\Rightarrow 100 x = 6250 \Rightarrow x = 62.5$