The following table shows the number of patients of different age group who were discharged from the hospital in a…
CBSE Class 10 Maths PYQ · Statistics · Find Mean, median, mode · 5 Marks · March 2025 · Standard
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555 Marks · March 2025 · Standard
The following table shows the number of patients of different age group who were discharged from the hospital in a particular month : Find the 'mean' and the 'mode' of the above data.
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Age (in years) Number of patients ($f_i$) Class Mark ($x_i$) $f_i x_i$ $5-15$ $6$ $10$ $60$ $15-25$ $11$ $20$ $220$ $25-35$ $21$ $30$ $630$ $35-45$ $23$ $40$ $920$ $45-55$ $14$ $50$ $700$ $55-65$ $5$ $60$ $300$ Total $\Sigma f_i =80$ $\Sigma f_i x_i =2830$ $1\frac{1}{2}$ for correct table Mean = $\frac{2830}{80}$ $= \frac{283}{8}$ or $35.38$ years Modal class is $35 - 45$ Mode = $35 + \frac{23-21}{2\times23-21-14} \times 10$ $= \frac{405}{11}$ or $36.82$ years (approx.)
