JEE MATHEMATICS MCQ: STATISTICS

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Application +4 | -1

A scientist is weighing each of 30 fishes. Their mean weight worked out is

30 \mathrm{gm}

and a standarion deviation of

2 \mathrm{gm}

. Later, it was found that the measuring scale was misaligned and always under reported every fish weight by

2 \mathrm{gm}

. The correct mean and standard deviation (in gm) of fishes are respectively:

View answer and explanation

Correct option: A

32, 2

Option A (32, 2) is correct. Adding a constant to each observation increases the mean by that constant, but the standard deviation remains unchanged.

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