A scientist is weighing each of 30 fishes.

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:

Accepted Answer

If each observation is increased by a constant, the mean shifts by that constant but S.D. is unchanged.

$$\text{Correct mean} = 30+2=32, \qquad \text{Correct S.D.} = 2$$

Solutions · 1