The mean of 100 numbers observations is 50 and their standards deviation is 5. The sum of all squares of all the observations is (a)50,000 (b) 250,000 (c) 252500 (d) 255000

Explanation

To solve the problem, we need to find the sum of the squares of all observations given the mean, standard deviation, and the number of observations. Here’s the step-by-step solution:

### Step 1: Identify the given values
- Number of observations (n) = 100
- Mean (x̄) = 50
- Standard deviation (σ) = 5

### Step 2: Use the formula for standard deviation
...