Question

The distribution of Abhishek's high school grades by percentage of course credits is given in the circle graph. What is Abhishek's grade point average if each $A$ is worth $4$ points; each $B$, $3$ points; and each $C$, $2$ points?

• A. $3.0$
• B. $3.4$
• C. $3.6$
• D. $3.7$
• E. Cannot be determined from the given information

Answer 1

The correct option is C $3.6$

The require grade point average can be written as
$\sum {}_{i=1}^{i=3}{p}_i{n}_i$ where $p_i$ indicates the share/percentage and $n_i$ indicates the course credit.

Hence, the grade point average is
$=(0.7\times 4)+(0.2\times 3)+(0.1\times 2)$

$=2.8+0.6+0.2$

$=3.6$