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Mean of 100 observations is 45. It was later found that two observations 19 and 31 were incorrectly recorded as 91 and 13. The correct mean
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As learnt in
ARITHMETIC Mean -
For the values x1, x2, ....xn of the variant x the arithmetic mean is given by
In case of discrete data.
-Given that,
But two numbers (19+31 = 50) were incorrect
So, net sum = 4500 - 50 = 4450
Add correct numbers (91+13 = 104)
⇒ 4450 +104 = 4554
⇒ new mean = 4554/100 = 45.54