CBSE 2025 · Region 4 · Set 1 · Q35 · 5 marks
The following table shows the number of patients of different age group who were discharged from the hospital in a particular month : Age (in years) Number of Patients Discharged $\displaystyle 5$-$\displaystyle 15$ $\displaystyle 6$ $\displaystyle 15$-$\displaystyle 25$ $\displaystyle 11$ $\displaystyle 25$-$\displaystyle 35$ $\displaystyle 21$ $\displaystyle 35$-$\displaystyle 45$ $\displaystyle 23$ $\displaystyle 45$-$\displaystyle 55$ $\displaystyle 14$ $\displaystyle 55$-$\displaystyle 65$ $\displaystyle 5$ Total $\displaystyle 80$
Find the 'mean' and the 'mode' of the above data.
| Age (in years) | Number of Patients Discharged |
| $\displaystyle 5$-$\displaystyle 15$ | $\displaystyle 6$ |
| $\displaystyle 15$-$\displaystyle 25$ | $\displaystyle 11$ |
| $\displaystyle 25$-$\displaystyle 35$ | $\displaystyle 21$ |
| $\displaystyle 35$-$\displaystyle 45$ | $\displaystyle 23$ |
| $\displaystyle 45$-$\displaystyle 55$ | $\displaystyle 14$ |
| $\displaystyle 55$-$\displaystyle 65$ | $\displaystyle 5$ |
| Total | $\displaystyle 80$ |
Marking-scheme solution
| Age (in years) | Number of patients \(\displaystyle \left(f_{i}\right)\) | Class Mark \(\displaystyle \left(x_{i}\right)\) | \(\displaystyle f_{i} x_{i}\) |
| $\displaystyle 5$-$\displaystyle 15$ | $\displaystyle 6$ | $\displaystyle 10$ | $\displaystyle 60$ |
| $\displaystyle 15$-$\displaystyle 25$ | $\displaystyle 11$ | $\displaystyle 20$ | $\displaystyle 220$ |
| $\displaystyle 25$-$\displaystyle 35$ | $\displaystyle 21$ | $\displaystyle 30$ | $\displaystyle 630$ |
| $\displaystyle 35$-$\displaystyle 45$ | $\displaystyle 23$ | $\displaystyle 40$ | $\displaystyle 920$ |
| $\displaystyle 45$-$\displaystyle 55$ | $\displaystyle 14$ | $\displaystyle 50$ | $\displaystyle 700$ |
| $\displaystyle 55$-$\displaystyle 65$ | $\displaystyle 5$ | $\displaystyle 60$ | $\displaystyle 300$ |
| Total | \(\displaystyle \sum f_{i}=80\) | \(\displaystyle \sum f_{i} x_{i}=2830\) |
StatisticsMean of Grouped DataApplylong_answermedium
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CBSE Class 10 Mathematics past-paper question from the 2025board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.