The mean of observations is 43. Later, it was found that 59 was misread as 69. What would be the correct mean? (correct to two decimal places)

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The mean of the observations is given as 43, and there are 9 observations in total.  
- Sum of observations = $$ 	ext{Mean} 	imes 	ext{Number of Observations} = 43 	imes 9 = 387 $$.

It was later found that the value 59 was misread as 69. To correct the sum:  
- Correct Sum = $$ 	ext{Original Sum} + 	ext{Correct Value} - 	ext{Misread Value} $$  
$$ = 387 + 59 - 69 = 377 $$.

Now, calculate the correct mean:  
$$
	ext{Correct Mean} = \frac{	ext{Correct Sum}}{	ext{Number of Observations}} = \frac{377}{9} = 41.89.
$$

Thus, the correct mean is **41.89**, corresponding to option **(b)**.

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