The value of the mean times the number of observations equals the sum of all of the observations.

Question

Quizplus · Accepted Answer

This statement is correct and is known as the "sum of squares identity." It can be mathematically represented as Σ(x - μ)² = Σx² - n(μ)², where Σ represents the sum, x represents each individual observation, μ represents the mean, and n represents the number of observations. Rearranging this equation, we can see that n(μ) = Σx, which confirms that the value of the mean times the number of observations equals the sum of all observations.

The Value of the Mean Times the Number of Observations