23 girls have a mean height of 153 cm.17 boys have a mean height of 165 cm. Work out the mean height of all 40 children.

Based on the mean height of all the boys and the mean height of the girls, their combined mean height is 158.10 cm

First find the total assumed height of all 23 girls:

= 23 girls x 153

= 3,519 cm

Total assumed height of all 17 boys:

= 17 boys x 165

= 2,805 cm

Mean of all their heights is:

= Total height of girls and boys / Number of children

= (3,519 + 2,805) / 40

= 158.10 cm

In conclusion, their mean height is 158.10 cm.

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The mean height of all the 40 children will be 158.1 cm.

Step-by-step explanation:

The mean height of 23 girls is given to be 153 cm.

So, the total height of 23 girls is (23 × 153) = 3519 cm.

Again, the mean height of 17 boys is given to be 165 cm.

So, the total height of 17 boys is (17 × 165) = 2805 cm.

Therefore, the mean height of all 40 children will be cm. (Answer)

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