Question

the average height of 15 boys and 20 girls is 1.5 the average height of the girls is 1.45 what is the average height of boys?

Answer 1

Please see the attachment

Answer 2

The average height of boys is 2.05

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 1.5

$1.5 = \frac{\text{Sum of height of all boys and girls}}{20+15}$

$1.5 = \frac{\text{Sum of height of all boys and girls}}{35}$

$1.5 \times 35 =\text{Sum of height of all boys and girls}$

$52.5=\text{Sum of height of all boys and girls}$

The average height of the girls is 1.45

$1.45 = \frac{\text{Sum of height of all girls}}{15}$

$1.45 \times 15 =\text{Sum of height of all girls}$

$21.75=\text{Sum of height of all girls}$

Sum of height of 15 boys  = 52.5 - 21.75=30.75

Mean height of boys =$\frac{30.75}{15}=2.05$

Hence the average height of boys is 2.05

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