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JEE Main Math Class 12 Statistics Part 1 Questions
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Question : 101
Total: 115
A scientist is weighing each of 30 fishes. Their mean weight worked out is 30 gm and a standarion 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 :
[2011 RS]
32, 2
32, 4
28, 2
28, 4
Validate
Solution:
We know that if each observation is increase by 2 then mean is increase by 2 but S.D. remains same.
Correct mean
=
observed mean
+
2
=
30
+
2
=
32
Correct
S
.
D.
=
observed
S
.
D
=
2
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