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Mathematics · 2024 · 3 marks
CBSE 2024 · Region 2 · Set 2 · Q27
In a test, the marks obtained by 100 students (out of 50 ) are given below: Marks obtained: 0-10 10-20 20-30 30-40 40-50 Number of students: 12 23 34…
In a test, the marks obtained by $\displaystyle 100$ students (out of $\displaystyle 50$ ) are given below :
Marks obtained : $\displaystyle 0$-$\displaystyle 10$ $\displaystyle 10$-$\displaystyle 20$ $\displaystyle 20$-$\displaystyle 30$ $\displaystyle 30$-$\displaystyle 40$ $\displaystyle 40$-$\displaystyle 50$ Number of students : $\displaystyle 12$ $\displaystyle 23$ $\displaystyle 34$ $\displaystyle 25$ $\displaystyle 6$ Find the mean marks of the students.
| Marks obtained : | $\displaystyle 0$-$\displaystyle 10$ | $\displaystyle 10$-$\displaystyle 20$ | $\displaystyle 20$-$\displaystyle 30$ | $\displaystyle 30$-$\displaystyle 40$ | $\displaystyle 40$-$\displaystyle 50$ |
| Number of students : | $\displaystyle 12$ | $\displaystyle 23$ | $\displaystyle 34$ | $\displaystyle 25$ | $\displaystyle 6$ |
Marking-scheme solution
| Marks Obtained | Number of students \(\displaystyle \left(\mathbf{f}_{\mathbf{i}}\right)\) | \(\displaystyle \mathbf{x}_{\mathbf{i}}\) | \(\displaystyle \mathbf{f}_{\mathbf{i}} \mathbf{x}_{\mathbf{i}}\) |
| $\displaystyle 0$-$\displaystyle 10$ | $\displaystyle 12$ | $\displaystyle 5$ | $\displaystyle 60$ |
| $\displaystyle 10$-$\displaystyle 20$ | $\displaystyle 23$ | $\displaystyle 15$ | $\displaystyle 345$ |
| $\displaystyle 20$-$\displaystyle 30$ | $\displaystyle 34$ | $\displaystyle 25$ | $\displaystyle 850$ |
| $\displaystyle 30$-$\displaystyle 40$ | $\displaystyle 25$ | $\displaystyle 35$ | $\displaystyle 875$ |
| $\displaystyle 40$-$\displaystyle 50$ | $\displaystyle 6$ | $\displaystyle 45$ | $\displaystyle 270$ |
| Total | $\displaystyle 100$ | $\displaystyle 2400$ |
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CBSE Class 10 Mathematics past-paper question from the 2024 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.