Let's solve this problem step-by-step:
1. Identify Relevant Weeks: This problem asks us to evaluate the quality score over the last four weeks. Let's identify these weeks and their corresponding quality scores from the given table:
- Week 5: Quality score = 0.82
- Week 6: Quality score = 0.92
- Week 7: Quality score = 0.90
- Week 8: Quality score = 0.82
2. Calculate the Average Quality Score: To determine how the team is performing, we first need to find the average quality score over these four weeks. The quality scores for the last four weeks are [tex]\(0.82, 0.92, 0.90, 0.82\)[/tex].
The average quality score can be calculated as:
[tex]\[
\text{Average Quality Score} = \frac{0.82 + 0.92 + 0.90 + 0.82}{4} = \frac{3.46}{4} = 0.865
\][/tex]
3. Determine the Target Quality Score: The target quality score given in the problem statement is 0.97.
4. Calculate the Percentage Below the Target: We need to calculate by what percentage the average quality score is below the target quality score. This can be done using the following formula:
[tex]\[
\text{Percentage Below Target} = \left(\frac{\text{Target Quality Score} - \text{Average Quality Score}}{\text{Target Quality Score}}\right) \times 100
\][/tex]
Plugging in the values:
[tex]\[
\text{Percentage Below Target} = \left(\frac{0.97 - 0.865}{0.97}\right) \times 100 \approx \left(\frac{0.105}{0.97}\right) \times 100 \approx 10.825 \%
\][/tex]
Conclusion: The team's average quality score over the last four weeks is about [tex]\(0.865\)[/tex], which is approximately [tex]\(10.825\%\)[/tex] below the target quality score of [tex]\(0.97\)[/tex].
Thus, the correct option is:
- About [tex]\(11\% \)[/tex] below target.
