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 Â Â Â Â | Â Â Â Â 0
2 Â Â Â Â | Â Â Â Â 3
3 Â Â Â Â | Â Â Â Â 4
4 Â Â Â Â | Â Â Â Â 16
5 Â Â Â Â | Â Â Â 22
Let's denote the score by [tex]x[/tex] and frequency by [tex]f[/tex].
The average formula is:
[tex]Average=\frac{\sum fx}{\sum f}[/tex]
          [tex]=\frac{(1\times0) + (2\times3)+(3\times4) +(4\times16) + (5\times22)}{0+3+4+16+22}[/tex]
          [tex]=\frac{0+6+12+64+110}{45}[/tex]
          [tex]=\frac{192}{45}=4.267[/tex]
Therefore, the average score was 4.267
Hence the option D) 4.266
