The set of life spans of an appliance is normally distributed with a mean mc012-1.jpg = 48 months and a standard deviation mc012-2.jpg = 8 months. What is the z-score of an appliance that stopped working at 64 months? –2 –1 1 2

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D.2 is the correct answer just took the test
Mean is the sum of all the scores in the sample and dividing it by the number of samples involved. The standard deviation shows how the data is scattered and distant from the mean and other scores. And z-scores are the standard scores that places a number and examine where it lies in the distribution.

In this case, the z-score formula is the difference of the score (x) and the mean (M) then divided by the standard deviation (SD)

Z = X - M / SD

X = 64 months
M = 48 months
SD = 8 months

Z = 2 months