If on a test three people answered 90% of the questions correctly and two people answered 80% correctly, then the average for the group is not 85% but rather.
`(3cdot 90 + 2 cdot 80)/(5)`

Answer

To solve the problem step by step, we can follow these calculations:

### Step 1: Understand the Problem
We have three people who answered 90% of the questions correctly and two people who answered 80% correctly. We need to find the average percentage of correct answers for the entire group.

### Step 2: Calculate the Total Correct Answers
- For the three people who answered 90% correctly:
\[ \text{Total correct answers from these three} = 3 \times 90 = 270 \]

- For the two people who answered 80% correctly:
\[ \text{Total correct answers from these two} = 2 \times 80 = 160 \]

### Step 3: Sum the Total Correct Answers
Now we add the total correct answers from both groups:
\[ \text{Total correct answers} = 270 + 160 = 430 \]

### Step 4: Calculate the Total Number of People
The total number of people in the group is:
\[ \text{Total number of people} = 3 + 2 = 5 \]

### Step 5: Calculate the Average Percentage
Now, we can find the average percentage of correct answers for the group:
\[ \text{Average} = \frac{\text{Total correct answers}}{\text{Total number of people}} = \frac{430}{5} = 86 \]

### Conclusion
Thus, the average percentage of correct answers for the group is **86%**.

---