SEARCH HOME
 Math Central Quandaries & Queries
 Question from Joe: Dear Sir/Madam, How can I describe the following. My volume tolerance limit is 0.5%,regardless of quantity. Say , My total volume output is 344,714 Litres and benchmark volume is 348,194 Difference of 3480Litres, this would give me a percentage of 0.999. Which is above my tolerance. How can I explain this high tolerance limit even though volume difference is minimal. Regards Joe

Hi Joe,

Your benchmark volume is $348,194$ litres and 1% of $348,194$ is $\large \frac{348194}{100} \normalsize = 3,481.94$ litres and hence half a percent of $348,194$ is $\large \frac{3,481.94}{2} \normalsize = 1,740.97$ litres. The difference you have is $3480$ litres which is almost twice the tolerance of $1,740.97.$ You might think the volume difference is minimal but half a percent is quite a strict tolerance limit.

Penny

Math Central is supported by the University of Regina and the Imperial Oil Foundation.