Mean Score of Female Students in Class of 30: 78

[coreyB]

Suppose that the mean score of a class of 30 students was 78. The 19 male students in the class had a mean score of 68. What was the mean score for the 11 female students?

advice? thanks.

 

[dacruick]

19/30 students got 68%. 11/30 students got ___%. What percentage does that blank have to be so that the average of the two percentages are 78%. keep in mind one percentage is weighed heavier because 19/30 is larger than 11/30

 

[coreyB]

i got it. i set it up as:

.78 = (19/30)*.68 + (11/30)*x

then solved for x. is this how you would have done it?

 

[dacruick]

yup.