Example of Quantiles and Measures of Location 1
The UNIVARIATE Procedure
Variable: X
Moments
N 1000 Sum Weights 1000
Mean 7.605 Sum Observations 7605
Std Deviation 7.38169794 Variance 54.4894645
Skewness 2.73038523 Kurtosis 11.1870588
Uncorrected SS 112271 Corrected SS 54434.975
Coeff Variation 97.0637467 Std Error Mean 0.23342978
Basic Statistical Measures
Location Variability
Mean 7.605000 Std Deviation 7.38170
Median 5.000000 Variance 54.48946
Mode 3.000000 Range 62.00000
Interquartile Range 6.00000
Tests for Location: Mu0=0
Test -Statistic- -----p Value------
Student's t t 32.57939 Pr > |t| <.0001
Sign M 494.5 Pr >= |M| <.0001
Signed Rank S 244777.5 Pr >= |S| <.0001
Quantiles (Definition 5)
Quantile Estimate
100% Max 62.0
99% 37.5
95% 21.5
90% 16.0
75% Q3 9.0
50% Median 5.0
25% Q1 3.0
10% 2.0
5% 1.0
1% 0.0
0% Min 0.0 |