The government rescued 100 people after a train accident. Their ages were recorded in the following table. Find their…
CBSE Class 10 Maths PYQ · Statistics · Find Mean, median, mode · 3 Marks · March 2024 · Standard
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333 Marks · March 2024 · Standard
The government rescued $100$ people after a train accident. Their ages were recorded in the following table. Find their mean age. Age (in years) Number of people rescued $10-20$ $9$ $20-30$ $14$ $30-40$ $15$ $40-50$ $21$ $50-60$ $23$ $60-70$ $12$ $70-80$ $6$
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Age (in years) Number of people rescued ($f_i$) $x_i$ $u_i$ $f_iu_i$ $10-20$ $9$ $15$ $-3$ $-27$ $20-30$ $14$ $25$ $-2$ $-28$ $30-40$ $15$ $35$ $-1$ $-15$ $40-50$ $21$ $45$ $0$ $0$ $50-60$ $23$ $55$ $1$ $23$ $60-70$ $12$ $65$ $2$ $24$ $70-80$ $6$ $75$ $3$ $18$ Total $100$ $-5$ Mean Age $= 45 + \frac{(-5)}{100} \times 10$ $= 44.5$ Hence, mean age is $44.5$ years
