Question

The mean of 30 observations was found to be 38. Later, it was discovered that one observation 50 was misread as 30. Find the correct mean?

Answer 1

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Answer 2

Answer:

The correct mean = 38.66

Step-by-step explanation:

$mean = \frac{sum \ of \ all \ observations}{total \ number \ of \ observations}$

Let 'x' be the sum of 30 observations

Then, $38 = \frac{x}{30}$

x = 30× 38 = 1140

But the number 50 was misread as 30, the difference 50-30 = 20 is less in the sum of 30 observations

Then, actual sum of 30 numbers = 1140+20 = 1160

Mean = $\frac{1160}{30}$

Mean = 38.66

Thus, the correct mean = 38.66