Question

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

(a) 28, 4

(b) 32, 2

(c) 32, 4

(d) 28, 2

Answer 1

Correct mean = Old mean + 2 = 30+2 = 32

As standard deviation is independent of change of origin

It remains same.

standard deviation = 2.