Final answer:
The arithmetic mean of the numbers 128, 144, 146, 143, 136, 142, 138, 120, 140, 152, 144, 140, 150, 142, and 154 is approximately 142.33.
Step-by-step explanation:
The student has asked for the arithmetic mean of the following set of numbers: 128, 144, 146, 143, 136, 142, 138, 120, 140, 152, 144, 140, 150, 142, 154.
To calculate the arithmetic mean, you sum up all the given numbers and then divide by the total count of the numbers. Here's the step-by-step calculation:
- Add up all the numbers: 128 + 144 + 146 + 143 + 136 + 142 + 138 + 120 + 140 + 152 + 144 + 140 + 150 + 142 + 154 = 2135.
- Count how many numbers are there; in this case, there are 15 numbers.
- Divide the sum of the numbers by their count: 2135 / 15 = 142.333...
The arithmetic mean of the given set of numbers is approximately 142.33.