Question

In a class of 20 girls and 15 boys, the average weight of the class is 42kg. The average weight of the boys is 41.5kg.What is the average weight of the girls

Answer 1

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Answer 2

The average height of girls is 42.375

Step-by-step explanation:

$Average = \frac{\text{Sum of all observations}}{\text{No. of observations}}$

The average height of 15 boys and 20 girls is 42

$42 = \frac{\text{Sum of height of all boys and girls}}{20+15}$

$42 = \frac{\text{Sum of height of all boys and girls}}{35}$

$42 \times 35 =\text{Sum of height of all boys and girls}$

$1470=\text{Sum of height of all boys and girls}$

The average height of the boys is 41.5

$41.5 = \frac{\text{Sum of height of all boys}}{15}$

$41.5 \times 15 =\text{Sum of height of all boys}$

$622.5=\text{Sum of height of all boys}$

Sum of height of 20 girls  = 1470 - 622.5=847.5

Mean weight of the girls = $\frac{847.5}{20}=42.375$

Hence the average height of girls is 42.375

#Learn more:

Find the average of 12 number if first 8 numbers average is 21 find the average of last 4 numbers

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