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Find the arithmetic mean of the following date (correct to the nearest whole number) using the step-deviation method.

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answer is A.

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Detailed Solution

We know that the formula used to find the arithmetic mean for a data using step deviation is

\underset{̲}{x} = A + \frac{\sum_{}^{} d}{N}

where A is assumed mean, and d is (y-A) according to the above question, and N is the sum of all x. …
Let us assume that the assumed mean is 40 which implies A = 40.
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From the above table we can say that

N = (5 + 10 + 15 + 20 + 25 + 30 + 35 + 40 + 45 + 50) = 275

which implies

\underset{̲}{x} =

40 + (- 16 / 275) = 39.947

It is given that we should correct the answer to the nearest whole number so the mean will be 40.

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