Why do uncertainties deviate away from the answer the larger the uncertainty is?

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If we were to take the formula mole (mol) = concentration (moldm-3) x volume (dm3)

2.00±0.5 moldm^(-3) x 2.00±0.5 dm³ = 4±50% which would be 4±2, the range would be 2-6. however if you multiply 2.5 x 2.5, you would get 6.25 mol which is out of the range.

As you make the uncertainty smaller, the answer gets closer and closer to the uncertainty.

Why is that?

In: Chemistry

3 Answers

Anonymous 0 Comments

Because half the time, the deviations will have opposite sign, so they will at least partially cancel out. Which makes the extremes less likely. This is related to the law of large numbers.

Anonymous 0 Comments

Why’d the chicken cross the road?

Anonymous 0 Comments

That looks like rounding to keep the numbers simple. The accurate solution would be 4.25±2.