Mr. Garcia teaches French class. He has 14 students in his class, and the mean grade on his midterm was 72. After the midterm, one of his students, who had scored a 37 on the midterm, dropped out of the class. Mr. Garcia's recalculates the mean midterm grade, excluding the score from the student who dropped out.

What is the recalculated mean midterm grade? Round your answer to the nearest tenth.

Question

Mr. Garcia teaches French class. He has 14 students in his class, and the mean grade on his midterm was 72. After the midterm, one of his students, who had scored a 37 on the midterm, dropped out of the class. Mr. Garcia's recalculates the mean midterm grade, excluding the score from the student who dropped out.

What is the recalculated mean midterm grade? Round your answer to the nearest tenth.

mathmale · Answer

We need to put the definition of "mean" and the formula for "mean" to use here.

The mean score of 14 students was 72:  $$\frac{ \sum~of~14~scores }{ 14 }=72$$

mathmale · Answer

If you'd multiply 14 by 72, you'd get the sum of the original 14 scores.  Do that, please.

anonymous · Answer

1008

mathmale · Answer

Good.  Now we're going to delete the score of 37 earned by 1 student.

Subtract 37 from 1008.  Divide the result by 13 (not by 14).  What do you get and what does it signify?

anonymous · Answer

74.6 and the mean?

mathmale · Answer

Great.  Nice work.  Any questions?