Q. 44.2( 46 Votes )

# <span lang="EN-US

Answer :

Given, mean,

No of observations, n = 9

We know,

Arithmetic mean of x_{1}, x_{2}, x_{3}, …, x_{n} (n observations) is

⇒ sum of observations = x_{1} + x_{2} + …+ x_{9} = 342

As, 27 is mistaken for 72, therefore, actual sum of observations will increase by (72 - 27) = 45

⇒ Actual sum of observations = 342 + 45 = 387

Hence, new mean is 43.

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