Final answer:
Given the population variance s² of 4, the population standard deviation σ is 2, which is the square root of the variance. The value of σ(x − m) will vary depending on the specific x value, but if x = m (the mean), then σ(x − m) would be 0.
Step-by-step explanation:
The question concerns finding the value of σ(x − m) for a population, where σ is the population standard deviation and m is the population mean. Given that the sum of squares for the population (ss) is 100 and the population variance (s²) is 4, we can find the standard deviation σ. Since the population variance s² is the square of the population standard deviation σ, to find σ, we take the square root of the variance:
σ = √ s² = √ 4 = 2.
Since σ(x − m) simply represents a general term for the difference between any population value and the mean, scaled by the standard deviation, its value is dependent on the specific x value chosen. However, if x = m (the mean), then σ(x − m) = 0 because x and m will be the same, and any number minus itself is zero.