The marks of five students in a mathematics test were 27, 31, 35, 47, 50. (a) Calculate

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The marks of five students in a mathematics test were 27, 31, 35, 47, 50.

(a) Calculate the mean mark and the standard deviation.

(b) The marks are scaled so that the mean and standard deviation become 50 and 20 respectively. Calculate, to the nearest whole number, the new marks corresponding to the original marks of 31 and 50. (C Additional)

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