How do I find a mean value that is consistent with the precision of the data? My

Question

How do I find a mean value that is consistent with the precision of the data? My mean ratio is 0.6581 and my standard deviation is 0.226. The individual values were 0.9377, 0.6194, 0.9252, 0.5998, 0.4294, and 0.4368. Each ratio was the mass of precipitate/mass of limiting reactant. I also need to calculate a mass for the precipate that is consistent with the precision of the data. It says to use the mean value of the ratio that you calculated in the above question (mean value that is consistent with the precision of the data?) and the mass of the limiting reactant. The mass of the limiting reactant is 1.3645 g.

Explanation / Answer

You haven’t provided the complete experiment; I will only work with the data you provided.

Mass of the precipitate = (mean ratio)*(mass of the limiting reactant) = (0.6581)*(1.3645 g) = 0.89797 g 0.8980 g (ans).

I do not know what you meant by being consistent with the precision of your data. Precision denotes the closeness of the individual readings to each other and looking at the data, it turns out that your data isn’t very precise, since the ratios vary vastly.

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