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

To find the mean height of the 20 boys, we need to know the total height of all the boys combined.

Since we know the mean height of the 20 boys and 14 girls is 161 cm, we can determine the combined total height of all the boys and girls.

Mean is calculated by summing up all the values and dividing it by the number of values.

So, the formula to find the total height of the boys and girls is:

Total height = Mean height * Total number of people

Let's calculate the combined total height of all the boys and girls:

Total height of 20 boys and 14 girls = 161 cm * (20 + 14)

Now, let's calculate the combined total height of all the girls:

Total height of 14 girls = 151 cm * 14

To find the total height of the boys, subtract the total height of the girls from the combined total height of all the boys and girls:

Total height of 20 boys = Total height of 20 boys and 14 girls - Total height of 14 girls

Now, to find the mean height of the 20 boys, divide the total height of the boys by the number of boys:

Mean height of 20 boys = Total height of 20 boys / 20

By following these steps, you can find the mean height of the 20 boys.

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

14 x 151 = 2114 cm => ht of 20 boys = 3360 => mean ht of boys
= 168.