Of 500 high school whose mean height is 67.8 inches, 150 were girls. If the mean height of the girls was 63.0 inches, what is the mean height of the boys?

There was also a hint that was: Think about how many total inches are present for the boys and girls.

Could someone please explain to me how this problem could be solved?

dom6547 Aug 28, 2019

#1**+2 **

\(\dfrac{150 (63) + (500-150)h_b}{500} = 67.8\\ 9450 + 350h_b = 33900\\ 350h_b = 24450\\ h_b \approx 69.86~inches\)

.Rom Aug 28, 2019

#2**+1 **

*Of 500 high school whose mean height is 67.8 inches, 150 were girls. If the mean height of the girls was 63.0 inches, what is the mean height of the boys?*

The hint says to think about the total inches, so let's do that.

Total inches for Everybody would be (67**.**8)(500) call this Total_{E}

Total inches for The Girls would be (63**.**0)(150) call this Total_{G}

Total inches for The Boys would be Total_{E} – Total_{G} call this Total_{B}

The individual height for the boys would be the

total for the boys divided by the number of boys Total_{B} divided by 350

.

Guest Aug 28, 2019