(a) Mean is a measure of the central tendency of the distribution, and is equal

Question

(a)

Mean is a measure of the central tendency of the distribution, and is equal to the artihemetic average of the given data points.

Mean = (Sum of all data values)/(Total number of data values)

Deviation is a measure of spread of the data, that is, how much spread out or concentrated the data is around the mean.

Confidence interval is an interval which is most likely to contain the true population mean. If many samples of a fixed size are taken from a population and their means are calculated, then most of the times the mean values will fall in the range given by the confidence interval

(b)

For the data given, we have:

Mean = (70.24+70.22+70.10)/3 = 70.187

Standard deviation = ( ( (70.24-70.187)^2 + (70.22-70.187)^2 + (70.10-70.187)^2 )/3 )^0.5 = 0.0618

% SD = (Standard deviation/Mean)*100 = (0.0618/70.187)*100 = 0.088%

(c)

Error = True value-Sample estimated value = | 70.15-70.187 | = 0.037

Hope this helps !

Explanation / Answer

2. (a) Several statistical elements are used in reporting analytical data. Briefly explain the significance of the following statistical elements: (5 points) Mean Deviation Confidence interval. (b) An analysis of the sodium content of a soil sample produced the following replicate measurements: 70.24 mg, 70.22 mg, and 70.10 mg. Calculate: the mean, standard deviation, and % relative standard deviation of the data. (15 points) © If the true value of sodium in the sample is known to be 70.15 mg, determine the error and % relative error of the value obtained in the analysis. (5 points)

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