In a sample of size 40,the sample mean is 15.In this case,the sum of all observations in the sample is Xᵢ = 600.

Name: In a sample of size 40,the sample mean is 15.In this case,the sum of all observations in the sample is Xᵢ = 600.
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Question

In a sample of size 40,the sample mean is 15.In this case,the sum of all observations in the sample is  Xᵢ = 600.

Quizplus · Accepted Answer

True.

The sum of all observations in a sample (denoted by ΣX) can be calculated by multiplying the sample mean (denoted by x̄) by the sample size (denoted by n).

ΣX = x̄ * n

In this case, x̄ = 15 and n = 40, therefore:

ΣX = 15 * 40 = 600

So the statement is true.

In a Sample of Size 40,the Sample Mean Is 15