if I have 1 defect in a batch of 54 widgets, what is my quality index?

To calculate the quality index, you need to know the total number of defective units and the total number of units in the batch. In this case, you have 1 defect in a batch of 54 widgets.

The quality index can be calculated using the following formula:

Quality Index = (1 - (Total Defects / Total Units)) * 100

Plugging in the values you provided, the calculation would be as follows:

Quality Index = (1 - (1 / 54)) * 100

Simplifying this equation:

Total Defects / Total Units = 1 / 54

Quality Index = (1 - 0.0185) * 100

Quality Index ≈ 98.15

Therefore, your quality index would be approximately 98.15.