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If for a distribution, ∑(x−5)=3,∑(x−5)²=43 and total number of observations is 18, find the mean and standard deviation.

User Ian Jones
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1 Answer

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Final answer:

The mean is 0.1667 and the standard deviation is 1.589.

Step-by-step explanation:

To find the mean, we use the formula:

mean = sum of all observations / total number of observations

In this case, the sum of (x-5) is 3 and the total number of observations is 18. Therefore,

mean = 3 / 18 = 1/6 = 0.1667

To find the standard deviation, we use the formula:

standard deviation = sqrt((sum of (x-5)^2) / (total number of observations - 1))

In this case, the sum of (x-5)^2 is 43 and the total number of observations is 18. Therefore,

standard deviation = sqrt(43 / 17) = sqrt(2.5294) = 1.589

User Rakesh KR
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