Answer:
The sum of the squares of observations is 160. None of the options is true.
Explanation:
The sum of squares of observations is denoted as SS and can be calculated using the following formula:
SS = Σ(x_i - x)^2
where:
x_i is the i-th observation
x is the mean of all observations
Σ is the summation symbol indicating that we need to sum over all observations
We are given that the mean (x) is 80 and the standard deviation is 4.
We can also assume that we have 10 observations (n = 10).
Since we don't have the actual observations (x_i), we can use the following relationship between the standard deviation (σ) and the sum of squares (SS):
σ^2 = SS / n
Solving for SS, we get:
SS = σ^2 * n
Substituting the given values:
SS = 4^2 * 10 = 16 * 10 = 160
Therefore, None of the option is true.