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Answer :
Final answer:
The mean (average) is calculated by adding all the numbers and dividing by the quantity of numbers, whereas, the standard deviation is found by subtracting the mean from each number, squaring the result, averaging these squares, and taking the square root. The mean of the given data set is 100.97. The standard deviation would be calculated following the described process.
Explanation:
To calculate the mean (average), you add up all the numbers and then divide by the quantity of numbers. To calculate the standard deviation, you subtract the mean from each number, square the result, find the average of these squares, and then take the square root. Following these steps:
Low Concentration Cu-EDTA Samples:
- \(98.2, 105.4, 102.7, 99.8, 101.5, 100.3, 97.6, 103.2, 99.1, 100.9\)
Mean for the low concentration Cu-EDTA samples:
- \[\text{Mean} = \frac{98.2 + 105.4 + 102.7 + 99.8 + 101.5 + 100.3 + 97.6 + 103.2 + 99.1 + 100.9}{10} = \frac{1009.7}{10} = 100.97\]
Now, calculate the standard deviation for the low concentration Cu-EDTA samples:
1. Calculate the squared differences from the mean for each value:
- \[(98.2 - 100.97)^2, (105.4 - 100.97)^2, (102.7 - 100.97)^2, (99.8 - 100.97)^2, (101.5 - 100.97)^2, (100.3 - 100.97)^2, (97.6 - 100.97)^2, (103.2 - 100.97)^2, (99.1 - 100.97)^2, (100.9 - 100.97)^2\]
2. Find the average of these squared differences:
- \[\text{Average of squared differences} = \frac{(98.2 - 100.97)^2 + (105.4 - 100.97)^2 + (102.7 - 100.97)^2 + (99.8 - 100.97)^2 + (101.5 - 100.97)^2 + (100.3 - 100.97)^2 + (97.6 - 100.97)^2 + (103.2 - 100.97)^2 + (99.1 - 100.97)^2 + (100.9 - 100.97)^2}{10}\]
3. Calculate the square root of the average of squared differences to get the standard deviation:
- \[\text{Standard Deviation for low concentration Cu-EDTA samples} ≈ \sqrt{\text{Average of squared differences}}\]
So, the mean for the low concentration Cu-EDTA samples is approximately 100.97, and the standard deviation can be calculated as described above.
Learn more about Mean and Standard Deviation here: https://brainly.com/question/35095365
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