ABC26GN1576 · Average

Subject: General Aptitude · Chapter: Average · Exam: 2006 · Marks: · Difficulty:

A school has 4 sections of Chemistry in Class X having 40, 35, 45 and 42 students. The mean marks obtained in Chemistry test are 50, 60, 55 and 45 respectively for the 4 sections. Determine the overall average of marks per student.
(a)50.25
(b)51.25
(c)52.25
(d)53.25
Answer
Answer (as printed): C
Explanation
$$\begin{aligned} \text { Average marks } & =\left(\frac{50 \times 40+60 \times 35+55 \times 45+45 \times 42}{40+35+45+42}\right) \\ & =\left(\frac{2000+2100+2475+1890}{162}\right) \\ & =\left(\frac{8465}{162}\right)=52.25 \end{aligned}$$

Explanation as extracted from the printed page; notation may be imperfect.

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