Maria is incorrect in her computation of the mean. Let's go through the steps to find the mean correctly:
### Step-by-Step Solution:
1. List the Scores: The given scores are 7, 8, 3, 0, and 2.
2. Sum the Scores:
[tex]\[
\text{Sum} = 7 + 8 + 3 + 0 + 2 = 20
\][/tex]
3. Count the Number of Scores:
There are 5 scores provided: 7, 8, 3, 0, and 2.
4. Calculate the Mean:
The mean (average) is found by dividing the sum of the scores by the number of scores.
[tex]\[
\text{Mean} = \frac{\text{Sum of Scores}}{\text{Number of Scores}} = \frac{20}{5} = 4
\][/tex]
### Explanation of the Error:
- Maria computed the sum correctly as 20.
- However, she divided the sum by 4 instead of 5.
To illustrate Maria's mistake:
[tex]\[
\text{Maria's mean} = \frac{\text{Sum of Scores}}{4} = \frac{20}{4} = 5
\][/tex]
By dividing by 4 instead of 5, she improperly calculated a mean of 5. The correct number of scores should always be used to find the mean. Since there are 5 scores, the correct mean is:
[tex]\[
\frac{20}{5} = 4
\][/tex]
### Conclusion:
Maria is not correct because she divided the sum of the scores by 4 instead of 5. The correct mean of the scores 7, 8, 3, 0, and 2 is 4.
