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
Step-by-step 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
and frequency by
.
The average formula is:
![Average=(\sum fx)/(\sum f)](https://img.qammunity.org/2019/formulas/mathematics/college/vln8ssmransbwjo9zfcr9js80i4l7so80m.png)
![=((1*0) + (2*3)+(3*4) +(4*16) + (5*22))/(0+3+4+16+22)](https://img.qammunity.org/2019/formulas/mathematics/college/qayh0e1fctpknzwzi2rs7tnrkzj32z89e0.png)
![=(0+6+12+64+110)/(45)](https://img.qammunity.org/2019/formulas/mathematics/college/epvkc34k4639cpl6czz03orhsyt98iusd7.png)
![=(192)/(45)=4.267](https://img.qammunity.org/2019/formulas/mathematics/college/k2513ys7hxr9o3g9hgz2bhnlhp57jl8vde.png)
Therefore, the average score was 4.267
Hence the option D) 4.266