Question

A quantity x is measured six times with the following results: 3.4, 4.1, 4.3, 3.6, 4.1,...

A quantity x is measured six times with the following results: 3.4, 4.1, 4.3, 3.6, 4.1, 3.7.

(a) Compute the mean, ¯x, the variance, σ 2 , and the standard error of the mean, σx. A quantity w is defined to be w = 8πa/x¯ 3 where a = 1.9±0.1.

(b) Find w and its uncertainty, σw

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