Descriptive statistics (z- scores)… - Princeton University
Descriptive statistics (z-scores)...
z-scores show how many standard deviations a single value is from the
mean. Having the mean is not enough.
z = xi - ?
Student A B C
xi 1842 1907 2279
Mean SAT score
sd
1849
275
1849
275
1849
275
z-score -0.03 0.21 1.56
% (below) 49.0% 58.4% 94.1%
%(above) 51.0% 41.6% 5.9%
Student A B C
xi 1842 1907 2279
Mean SAT score
sd
1849
162
1849
162
1849
162
z-score -0.04 0.36 2.65
% (below) 48.3% 64.0% 99.6%
%(above) 51.7% 36.0% 0.4%
Student A B C
xi 1855 1917 2221
Mean SAT score
sd
1858
162
1858
162
1858
162
z-score -0.02 0.36 2.24
% (below) 49.3% 64.2% 98.7%
%(above) 50.7% 35.8% 1.3%
NOTE: To get the %(below) you can use the tables at the end of any statistics book or in Excel use =normsdist(z-score). %(above) is just 1-%(below). In Stata type: egen z_var1=std(var1) gen below=normal(z_var1) gen above=1-below
PU/DSS/OTR
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