Mean Score of Female Students in Class of 30: 78

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Homework Help Overview

The discussion revolves around calculating the mean score of female students in a class of 30, given the overall mean and the mean score of male students. The subject area pertains to basic statistics and averages.

Discussion Character

  • Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the relationship between the mean scores of different groups within the class and how to set up an equation to find the unknown mean score for female students.

Discussion Status

Some participants have shared their approaches to solving the problem, with one individual stating they set up an equation based on the given means. There appears to be a confirmation of this method by another participant, indicating a productive exchange.

Contextual Notes

The discussion includes considerations about the weights of the different groups based on their sizes, which may influence the calculations. There is also an implicit acknowledgment of the need to maintain clarity in the setup of the problem.

coreyB
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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.
 
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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
 
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?
 
yup.
 

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