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In a statistics class of 30 students, the mean score on the midterm was 72. In another class of 40 students, the mean score was 79. What was the mean score of the two classes combined?

1 Answer

Feb 5, 2016

Mean score of combined glasses $= 76$ $= 76$

Explanation:

Total score for class with $30$ $30$ students and mean score of $72$ $72$
$XXX 30 \times 72 = 2160$ $color(white)("XXX")30xx72=2160$

Total score for class with $40$ $40$ students and mean score of $79$ $79$
$XXX 40 \times 79 = 3160$ $color(white)("XXX")40xx79=3160$

Total number of student in combined classes
$XXX 30 + 40 = 70$ $color(white)("XXX")30+40 = 70$

Total of total class scores
$XXX 2160 + 3160 = 5320$ $color(white)("XXX")2160+3160 = 5320$

Mean score for combine classes
$XXX 5320 \div 70 = 76$ $color(white)("XXX")5320 div 70 = 76$

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