The -160-average age of - 14- girls in a class is - 20- years and of - 18- boys is - 23- years- Find -160-average age of class- -160- 21 11-16- years- 21 9-16- years- 21 7-16- years- 21 13-16- years

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Standard XII

Mathematics

Mean

The #160;av...

Question

The average age of $14$ girls in a class is $20$ years and of $18$ boys is $23$ years. Find average age of class.

21 \frac{11}{16}

years

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21 \frac{9}{16}

years

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21 \frac{7}{16}

years

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21 \frac{13}{16}

years

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Solution

The correct option is A $21 \frac{11}{16}$ years
Given that,
Average age of $14$ girls = $20$ years
Average age of $18$ boys = $23$ years
Using the concept of weighted average,
Average age of the class = $\frac{14 \times 20 + 18 \times 23}{14 + 18}$
= $21 \frac{22}{32} = 21 \frac{11}{16}$ years

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The average age of 14 girls in a class is 20 years and of 18 boys is 23 years. Find average age of class.

The correct option is A 211116 yearsGiven that,Average age of 14 girls =20 yearsAverage age of 18 boys = 23 yearsUsing the concept of weighted average,Average age of the class = 14×20+18×2314+18= 212232=211116 years

The average age of $14$ girls in a class is $20$ years and of $18$ boys is $23$ years. Find average age of class.

The correct option is A $21 \frac{11}{16}$ years
Given that,
Average age of $14$ girls = $20$ years
Average age of $18$ boys = $23$ years
Using the concept of weighted average,
Average age of the class = $\frac{14 \times 20 + 18 \times 23}{14 + 18}$
= $21 \frac{22}{32} = 21 \frac{11}{16}$ years