Practice question
Question
A scientist is weighing each of 30 fishes. Their mean weight worked out is 30 gm and a standard deviation of 2 gm. Later, it was found that the measuring scale was misaligned and always under reported every fish weight by 2 gm. The correct mean and standard deviation (in gm) of fishes are respectively:
Explanation
Adding constant 2 gm to every measurement shifts location parameter but not dispersion. Mean increases by constant to 32 gm, while standard deviation which depends on differences from mean remains unchanged at 2 gm, because variance of X+c equals variance of X.
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