Question 621:
1Answer:
No answer provided yet.To convert each raw value to a zscore we need to first find the mean and standard deviation for this sample. The mean is the sum of the values divided by the total or 75/5 = 15. The standard deviation is the average distance to the mean for each value and can be found using the standard deviation calculator or the excel function =STDEV(). See also the Standard deviation tutorial. We get the result of 4. Now we can convert each raw score to a zscore or standardized score by subtracting it from the mean and dividing that result by the standard deviation.

(1015) /4 = 1.25

(2015) /4 = 1.25

(1215) /4 = 0.75

(1715) /4 = 0.5

(1615) /4 = 0.25
So each value is now in standardized form relative to the sample mean and standard deviation. We see the more extreme values, which are further from the mean of 15 have a higher zscore.