Given the following values              25,  7,  22,  33,  18,  15The population mean and population standard deviation are approximately:

To calculate the population mean (average), you add up all the numbers and then divide by the number of values.

Step 1: Add up all the numbers: 25 + 7 + 22 + 33 + 18 + 15 = 120

Step 2: Divide by the number of values: 120 ÷ 6 = 20

So, the population mean is 20.

To calculate the population standard deviation, you first subtract the mean from each number and square the result, then find the average of these squared differences, and finally take the square root of that average.

Step 1: Subtract the mean from each number and square the result: (25-20)² = 25 (7-20)² = 169 (22-20)² = 4 (33-20)² = 169 (18-20)² = 4 (15-20)² = 25

Step 2: Find the average of these squared differences: (25 + 169 + 4 + 169 + 4 + 25) ÷ 6 = 66

Step 3: Take the square root of that average: √66 = 8.12 (rounded to two decimal places)

So, the population standard deviation is approximately 8.12.