A quality control inspection reveals that 15 out of 200 installed electrical outlets fail to meet specifications. What is the defect rate percentage?
Correct Answer
A) 7.5%
Defect rate = (Number of defects / Total items inspected) × 100 = (15 / 200) × 100 = 7.5%. This calculation helps track quality performance and identify areas needing improvement.
Why This Is the Correct Answer
The defect rate is calculated by dividing the number of defective items by the total number of items inspected, then multiplying by 100 to get a percentage. With 15 defective outlets out of 200 total outlets inspected, the calculation is (15 ÷ 200) × 100 = 0.075 × 100 = 7.5%. This percentage represents the proportion of items that failed to meet quality specifications.
Why the Other Options Are Wrong
Option B: 13.3%
This would be the result if you incorrectly calculated 200 ÷ 15 instead of 15 ÷ 200, which reverses the formula and gives you an invalid percentage that doesn't represent the actual defect rate.
Option C: 15%
This represents the raw number of defects (15) as a percentage without proper calculation, ignoring the total sample size of 200 outlets that were inspected.
Option D: 75%
This percentage would result from calculating (15 × 100) ÷ 200 incorrectly or confusing the defect rate with a pass rate calculation, leading to an impossibly high defect rate.
Memory Technique
Remember 'D over T times 100' - Defects over Total times 100. Think of it as 'Defective parts Take the Top spot' in the fraction.
Reference Hint
Look up Quality Control and Quality Assurance sections in construction management chapters, typically found under Project Management or Construction Administration sections of Florida contractor reference materials.
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