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The mean and standard deviation of some ...

The mean and standard deviation of some data for the time taken to complete a test are calculated with the Number of observations = 25, mean=18.2s, standard deviation = 3.25s. Further, another set of 15 observations `x_1, x_2, ...x_15,` also in seconds, is now available and we have `sum_(i=1)^15 x_i = 279 and sum_(i=1)^15 (x_i)^2 = 5524,` then the standard deviation based on all 40 observations is

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