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What is the uncertainty in the time if we have 5 different time value: 57.91s, 57.89s,...

What is the uncertainty in the time if we have 5 different time value: 57.91s, 57.89s, 58.12s, 58.68s, and 58.87s?

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Answer #1

We can measure the uncertainty in given observations by calculating Standard deviation.

If we suppose that these value are a sample.Then standard deviation can be calculated by :

where, xi's are the value

Xbar is the mean of the values

Xbar = ( 57.91s + 57.89s + 58.12s + 58.68s + 58.87s) / 5 = 58.294

Standard deviation = SD = ( ( ( 57.91 - 58.294)2 + ( 57.89 - 58.294)2 + ( 58.12 - 58.294)2 + ( 58.68 - 58.294)2 + ( 58.87 - 58.294)2) ) / 5 )0.5

= 0.4054 s

There is uncertainty 0.4054s in the time.

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