1. What is the Average Proportion?

The Average Proportion is the ratio of number of rejected units to number of inspected units, representing the proportion of non-conforming items in a sample.

2. How Does the Calculator Work?

The calculator uses the Average Proportion formula:

Where:

• \( p \) — Average Proportion
• \( R \) — Number of Rejected units
• \( I \) — Number of Inspected units

Explanation: This formula calculates the proportion of rejected items from the total inspected items, providing a measure of quality control performance.

3. Importance of Average Proportion Calculation

Details: Calculating the average proportion of non-conforming items is crucial for quality control, process improvement, and identifying areas that need attention in manufacturing or service delivery.

4. Using the Calculator

Tips: Enter the number of rejected units and the total number of inspected units. Both values must be valid (rejected ≥ 0, inspected > 0).

5. Frequently Asked Questions (FAQ)

Q1: What does the Average Proportion represent?
A: The Average Proportion represents the ratio of rejected items to total inspected items, indicating the quality level of a process or batch.

Q2: What are typical values for Average Proportion?
A: Values range from 0 (perfect quality) to 1 (all items rejected). Lower values indicate better quality control.

Q3: How is this different from defect rate?
A: Average Proportion and defect rate are similar concepts, both measuring the proportion of non-conforming items in a sample.

Q4: Can this be used for continuous improvement?
A: Yes, tracking Average Proportion over time helps identify trends and measure the effectiveness of quality improvement initiatives.

Q5: What if the number of inspected is zero?
A: The calculator requires at least one inspected unit to calculate a valid proportion. Division by zero is mathematically undefined.