The mean height of 20 boys and 14 girls is 161 cm. If the mean height of the 14 girls is 151 cm, calculate the mean height of the 20 boys.

The Total height of 34 children = 161 x 34 = 5474 cm. Height of 14 girls =

14 x 151 = 2114-5474 heightt of 20 boys = 3360/20 mean heightt of boys
= 168.

161*20+14=x

161*34= x. 5474cm=x
14*15=2114cm
5474-2114=3360
Height of boys = 168 cm

161×20+14=x

5474=x
14×15=2114
5474-2114=3360
Take mean of 3360
Answer=168cm.

To calculate the mean height of the 20 boys, we can use the concept of weighted averages.

First, let's calculate the total combined height of the boys and girls. We know the mean height of the 14 girls is 151 cm. Since there are 14 girls, their total combined height is 14 * 151 = 2114 cm.

Now, we need to find the total combined height of all 20 boys and 14 girls. We know that the mean height of all 20 boys and 14 girls is 161 cm. So, the total combined height of all 20 boys and 14 girls is 34 * 161 = 5474 cm.

Next, we can find the total combined height of just the 20 boys by subtracting the total combined height of the girls from the total combined height of all boys and girls.

Total combined height of 20 boys = Total combined height of all boys and girls - Total combined height of girls
Total combined height of 20 boys = 5474 cm - 2114 cm
Total combined height of 20 boys = 3360 cm

Finally, to find the mean height of the 20 boys, divide the total combined height of the 20 boys by the number of boys (20).

Mean height of 20 boys = Total combined height of 20 boys / Number of boys
Mean height of 20 boys = 3360 cm / 20
Mean height of 20 boys = 168 cm

Therefore, the mean height of the 20 boys is 168 cm.

TOTAL HEIGHT OF 34 childrens=