Question

Score Frequency

Answer 1

Scores on an AP Exam at a local high school are recorded in the table. What was the average score?

Answer: D) 4.266 is correct

Explanation:

We are given the below frequency table:

Score Frequency

1         |         0

2        |         3

3        |         4

4        |        16

5        |       22

Let's denote the score by $x$ and frequency by $f$.

The average formula is:

$Average=\frac{\sum fx}{\sum f}$

                    $=\frac{(1\times0) + (2\times3)+(3\times4) +(4\times16) + (5\times22)}{0+3+4+16+22}$

                    $=\frac{0+6+12+64+110}{45}$

                    $=\frac{192}{45}=4.267$

Therefore, the average score was 4.267

Hence the option D) 4.266