Question

A class of $25$ students took a spelling test. Two students scored $100$ on each test, nine students scored $95$ on each test, ten students scored $90$ on each test, three students scored $80$ on each test and one student scored $70$. What is the average score of the spelling test rounded to one decimal place?

Answer 1

Determine the average score of the spelling test rounded to one decimal place:

The total number of students in a class is $25$.

Since two students scored $100$ on each test, nine students scored $95$ on each test, ten students scored $90$ on each test, three students scored $80$ on each test, and one student scored $70$.

Thus,the total score:

$\begin{array}{rcl}\mathrm{Total}\mathrm{scored}& =& 2\times 100+9\times 95+10\times 90+3\times 80+1\times 70\\ & =& 2265\end{array}$

Average is calculated by adding up the scores and dividing the total by the number of scores as follows:

$\begin{array}{rcl}\mathrm{Average}& =& \frac{2265}{25}\\ & =& 90.6\end{array}$

Hence, the average score of the spelling test rounded to one decimal place is $\mathbf{90}\mathbf{.}\mathbf{6}$.