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Consider the set of replicate measurements:

39.7 g, 40.2 g, 38.9 g, 40.8 g, 39.3 g, 39.9 g

For this data set, calculate the following:

- Mean: __ g
- Range: __ g
- Standard Deviation: __ g
- Percent Relative Standard Deviation: __ %

Answer :

Final answer:

The mean of the given data set is 39.8 g, the range is 1.9 g, the standard deviation is roughly 0.64 g and the percent relative standard deviation is 1.6%.

Explanation:

The mean of a data set is calculated by adding up all the numbers, and then dividing by the number of numbers. For this particular set, the mean is calculated as (39.7 g + 40.2 g + 38.9 g + 40.8 g + 39.3 g + 39.9 g)/6 = 39.8 g

The range is the difference between the highest and lowest values. In this set, the highest value is 40.8 g and the lowest is 38.9 g. Therefore, the range is 40.8 g - 38.9 g = 1.9 g

The standard deviation is a measure of how spread out the numbers are. It's more complicated to calculate, so you'll generally use a calculator. But with a calculator, for the given set the standard deviation roughly comes out to be 0.64 g.

The percent relative standard deviation is calculated by dividing the standard deviation by the mean and then multiplying by 100 to get a percentage. Therefore, the percent relative standard deviation for this set of data is (0.64 g / 39.8 g) * 100 = 1.6%

Learn more about Statistical Measures here:

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