Question

what percentage of the quality sample is outside tolerance?
quality sample
within tolerance 243 units
outside tolerance 8 units
percentage outside tolerance =?%
round to the nearest percent.

Explanation:

Step1: Calculate total sample units

Total units = Units within tolerance + Units outside tolerance.
Total units = \(243 + 8=251\) units.

Step2: Calculate percentage outside tolerance

Percentage formula is \(\frac{\text{Part}}{\text{Whole}}\times100\).
Here, part = 8 (units outside tolerance), whole = 251 (total units).
Percentage \(=\frac{8}{251}\times 100\).
\(\frac{8\times100}{251}=\frac{800}{251}\approx 3.19\).

Answer:

\(3\%\)