The following numbers are on a data set for a new lot of QC material: 23, 25, 19, 27, 20, 22, 24, and 26.What are the mean and standard deviation?

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Quizplus · Accepted Answer

To calculate the mean, we add up all the numbers and divide by the total count: (23+25+19+27+20+22+24+26)/8 = 23.25. To calculate the standard deviation, we first need to find the variance by finding the average of the squared differences between each number and the mean. This gives us ((23-23.25)^2 + (25-23.25)^2 + (19-23.25)^2 + (27-23.25)^2 + (20-23.25)^2 + (22-23.25)^2 + (24-23.25)^2 + (26-23.25)^2)/8 = 7.93. The standard deviation is then the square root of the variance, which is approximately 2.82. Therefore, the correct answer is D.

The Following Numbers Are on a Data Set for a New