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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?

 Aug 28, 2019
 #1
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\(\dfrac{150 (63) + (500-150)h_b}{500} = 67.8\\ 9450 + 350h_b = 33900\\ 350h_b = 24450\\ h_b \approx 69.86~inches\)

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 Aug 28, 2019
 #2
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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 TotalE

 

Total inches for The Girls would be   (63.0)(150)           call this TotalG

 

Total inches for The Boys would be TotalE – TotalG        call this TotalB   

 

The individual height for the boys would be the

total for the boys divided by the number of boys             TotalB divided by 350

 

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 Aug 28, 2019

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