A scientist is weighing each of 30 fishes. Their mean weight worked out is 30 g and a standard deviation of 2 g. Later, it was found that the measuring scale was misaligned and always under reported every fish weight by 2 g. The correct mean and standard deviation in gram of fishes are respectively.

Solution :

Correct mean = old mean + 2 = 30 + 2 = 32

As standard deviation is independent of change of origin.

Hence, it remains same.

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