/**** Output of this sas program is shown below ****** DATA auto ; INPUT make $ price mpg rep78 weight length foreign ; DATALINES; AMC 4099 22 3 2930 186 0 AMC 4749 17 3 3350 173 0 AMC 3799 22 3 2640 168 0 Audi 9690 17 5 2830 189 1 Audi 6295 23 3 2070 174 1 BMW 9735 25 4 2650 177 1 Buick 4816 20 3 3250 196 0 Buick 7827 15 4 4080 222 0 Buick 5788 18 3 3670 218 0 Buick 4453 26 3 2230 170 0 Buick 5189 20 3 3280 200 0 Buick 10372 16 3 3880 207 0 Buick 4082 19 3 3400 200 0 Cad. 11385 14 3 4330 221 0 Cad. 14500 14 2 3900 204 0 Cad. 15906 21 3 4290 204 0 Chev. 3299 29 3 2110 163 0 Chev. 5705 16 4 3690 212 0 Chev. 4504 22 3 3180 193 0 Chev. 5104 22 2 3220 200 0 Chev. 3667 24 2 2750 179 0 Chev. 3955 19 3 3430 197 0 Datsun 6229 23 4 2370 170 1 Datsun 4589 35 5 2020 165 1 Datsun 5079 24 4 2280 170 1 Datsun 8129 21 4 2750 184 1 ; RUN; PROC UNIVARIATE DATA=auto PLOT; by MAKE; VAR MPG; RUN; **** END of SAS Code *** */ The SAS System 20:29 Sunday, April 1, 2012 1 ------------------------------------------------------------- make=AMC ------------------------------------------------------------- The UNIVARIATE Procedure Variable: mpg Moments N 3 Sum Weights 3 Mean 20.3333333 Sum Observations 61 Std Deviation 2.88675135 Variance 8.33333333 Skewness -1.7320508 Kurtosis . Uncorrected SS 1257 Corrected SS 16.6666667 Coeff Variation 14.1971378 Std Error Mean 1.66666667 Basic Statistical Measures Location Variability Mean 20.33333 Std Deviation 2.88675 Median 22.00000 Variance 8.33333 Mode 22.00000 Range 5.00000 Interquartile Range 5.00000 Tests for Location: Mu0=0 Test -Statistic- -----p Value------ Student's t t 12.2 Pr > |t| 0.0067 Sign M 1.5 Pr >= |M| 0.2500 Signed Rank S 3 Pr >= |S| 0.2500 Quantiles (Definition 5) Quantile Estimate 100% Max 22 99% 22 95% 22 90% 22 75% Q3 22 50% Median 22 25% Q1 17 10% 17 5% 17 1% 17 0% Min 17 The SAS System 20:29 Sunday, April 1, 2012 2 ------------------------------------------------------------- make=AMC ------------------------------------------------------------- The UNIVARIATE Procedure Variable: mpg Extreme Observations ----Lowest---- ----Highest--- Value Obs Value Obs 17 2 17 2 22 3 22 1 22 1 22 3 Stem Leaf # Boxplot Normal Probability Plot 22 00 2 +-----+ 22.5+ * +++* 21 | | | +++ 20 | + | | ++++ 19 | | | +++ 18 | | | ++++ 17 0 1 +-----+ 17.5+ ++* ----+----+----+----+ +----+----+----+----+----+----+----+----+----+----+ -2 -1 0 +1 +2 The SAS System 20:29 Sunday, April 1, 2012 3 ------------------------------------------------------------ make=Audi ------------------------------------------------------------- The UNIVARIATE Procedure Variable: mpg Moments N 2 Sum Weights 2 Mean 20 Sum Observations 40 Std Deviation 4.24264069 Variance 18 Skewness . Kurtosis . Uncorrected SS 818 Corrected SS 18 Coeff Variation 21.2132034 Std Error Mean 3 Basic Statistical Measures Location Variability Mean 20.00000 Std Deviation 4.24264 Median 20.00000 Variance 18.00000 Mode . Range 6.00000 Interquartile Range 6.00000 Tests for Location: Mu0=0 Test -Statistic- -----p Value------ Student's t t 6.666667 Pr > |t| 0.0948 Sign M 1 Pr >= |M| 0.5000 Signed Rank S 1.5 Pr >= |S| 0.5000 Quantiles (Definition 5) Quantile Estimate 100% Max 23 99% 23 95% 23 90% 23 75% Q3 23 50% Median 20 25% Q1 17 10% 17 5% 17 1% 17 0% Min 17 The SAS System 20:29 Sunday, April 1, 2012 4 ------------------------------------------------------------ make=Audi ------------------------------------------------------------- The UNIVARIATE Procedure Variable: mpg Extreme Observations ----Lowest---- ----Highest--- Value Obs Value Obs 17 4 17 4 23 5 23 5 Stem Leaf # Boxplot Normal Probability Plot 23 0 1 +-----+ 23.5+ * ++ 22 | | | +++ 21 | | | ++ 20 *--+--* 20.5+ +++ 19 | | | ++ 18 | | | ++ 17 0 1 +-----+ 17.5+ +*+ ----+----+----+----+ +----+----+----+----+----+----+----+----+----+----+ -2 -1 0 +1 +2 The SAS System 20:29 Sunday, April 1, 2012 5 ------------------------------------------------------------- make=BMW ------------------------------------------------------------- The UNIVARIATE Procedure Variable: mpg Moments N 1 Sum Weights 1 Mean 25 Sum Observations 25 Std Deviation . Variance . Skewness . Kurtosis . Uncorrected SS 625 Corrected SS 0 Coeff Variation . Std Error Mean . Basic Statistical Measures Location Variability Mean 25.00000 Std Deviation . Median 25.00000 Variance . Mode 25.00000 Range 0 Interquartile Range 0 Tests for Location: Mu0=0 Test -Statistic- -----p Value------ Student's t t . Pr > |t| . Sign M 0.5 Pr >= |M| 1.0000 Signed Rank S 0.5 Pr >= |S| 1.0000 Quantiles (Definition 5) Quantile Estimate 100% Max 25 99% 25 95% 25 90% 25 75% Q3 25 50% Median 25 25% Q1 25 10% 25 5% 25 1% 25 0% Min 25 The SAS System 20:29 Sunday, April 1, 2012 6 ------------------------------------------------------------- make=BMW ------------------------------------------------------------- The UNIVARIATE Procedure Variable: mpg Extreme Observations ----Lowest---- ----Highest--- Value Obs Value Obs 25 6 25 6 The SAS System 20:29 Sunday, April 1, 2012 7 ------------------------------------------------------------ make=Buick ------------------------------------------------------------ The UNIVARIATE Procedure Variable: mpg Moments N 7 Sum Weights 7 Mean 19.1428571 Sum Observations 134 Std Deviation 3.57903951 Variance 12.8095238 Skewness 1.11990338 Kurtosis 2.01122428 Uncorrected SS 2642 Corrected SS 76.8571429 Coeff Variation 18.696475 Std Error Mean 1.35274978 Basic Statistical Measures Location Variability Mean 19.14286 Std Deviation 3.57904 Median 19.00000 Variance 12.80952 Mode 20.00000 Range 11.00000 Interquartile Range 4.00000 Tests for Location: Mu0=0 Test -Statistic- -----p Value------ Student's t t 14.15107 Pr > |t| <.0001 Sign M 3.5 Pr >= |M| 0.0156 Signed Rank S 14 Pr >= |S| 0.0156 Quantiles (Definition 5) Quantile Estimate 100% Max 26 99% 26 95% 26 90% 26 75% Q3 20 50% Median 19 25% Q1 16 10% 15 5% 15 1% 15 0% Min 15 The SAS System 20:29 Sunday, April 1, 2012 8 ------------------------------------------------------------ make=Buick ------------------------------------------------------------ The UNIVARIATE Procedure Variable: mpg Extreme Observations ----Lowest---- ----Highest--- Value Obs Value Obs 15 8 18 9 16 12 19 13 18 9 20 7 19 13 20 11 20 11 26 10 Stem Leaf # Boxplot Normal Probability Plot 26 0 1 | 27+ * +++++ 24 | | ++++++ 22 | | ++++++ 20 00 2 +-----+ 21+ +*+++* 18 00 2 *--+--* | *+++*++ 16 0 1 +-----+ | *++++ 14 0 1 | 15+ *+++++ ----+----+----+----+ +----+----+----+----+----+----+----+----+----+----+ -2 -1 0 +1 +2 The SAS System 20:29 Sunday, April 1, 2012 9 ------------------------------------------------------------ make=Cad. ------------------------------------------------------------- The UNIVARIATE Procedure Variable: mpg Moments N 3 Sum Weights 3 Mean 16.3333333 Sum Observations 49 Std Deviation 4.04145188 Variance 16.3333333 Skewness 1.73205081 Kurtosis . Uncorrected SS 833 Corrected SS 32.6666667 Coeff Variation 24.743583 Std Error Mean 2.33333333 Basic Statistical Measures Location Variability Mean 16.33333 Std Deviation 4.04145 Median 14.00000 Variance 16.33333 Mode 14.00000 Range 7.00000 Interquartile Range 7.00000 Tests for Location: Mu0=0 Test -Statistic- -----p Value------ Student's t t 7 Pr > |t| 0.0198 Sign M 1.5 Pr >= |M| 0.2500 Signed Rank S 3 Pr >= |S| 0.2500 Quantiles (Definition 5) Quantile Estimate 100% Max 21 99% 21 95% 21 90% 21 75% Q3 21 50% Median 14 25% Q1 14 10% 14 5% 14 1% 14 0% Min 14 The SAS System 20:29 Sunday, April 1, 2012 10 ------------------------------------------------------------ make=Cad. ------------------------------------------------------------- The UNIVARIATE Procedure Variable: mpg Extreme Observations ----Lowest---- ----Highest--- Value Obs Value Obs 14 15 14 14 14 14 14 15 21 16 21 16 Stem Leaf # Boxplot Normal Probability Plot 21 0 1 +-----+ 21.5+ * +++ 20 | | | ++ 19 | | | +++ 18 | | | ++ 17 | | | +++ 16 | + | | ++ 15 | | | +++ 14 00 2 *-----* 14.5+ * ++ * ----+----+----+----+ +----+----+----+----+----+----+----+----+----+----+ -2 -1 0 +1 +2 The SAS System 20:29 Sunday, April 1, 2012 11 ------------------------------------------------------------ make=Chev. ------------------------------------------------------------ The UNIVARIATE Procedure Variable: mpg Moments N 6 Sum Weights 6 Mean 22 Sum Observations 132 Std Deviation 4.42718872 Variance 19.6 Skewness 0.37338847 Kurtosis 0.66326531 Uncorrected SS 3002 Corrected SS 98 Coeff Variation 20.1235851 Std Error Mean 1.80739223 Basic Statistical Measures Location Variability Mean 22.00000 Std Deviation 4.42719 Median 22.00000 Variance 19.60000 Mode 22.00000 Range 13.00000 Interquartile Range 5.00000 Tests for Location: Mu0=0 Test -Statistic- -----p Value------ Student's t t 12.17223 Pr > |t| <.0001 Sign M 3 Pr >= |M| 0.0313 Signed Rank S 10.5 Pr >= |S| 0.0313 Quantiles (Definition 5) Quantile Estimate 100% Max 29 99% 29 95% 29 90% 29 75% Q3 24 50% Median 22 25% Q1 19 10% 16 5% 16 1% 16 0% Min 16 The SAS System 20:29 Sunday, April 1, 2012 12 ------------------------------------------------------------ make=Chev. ------------------------------------------------------------ The UNIVARIATE Procedure Variable: mpg Extreme Observations ----Lowest---- ----Highest--- Value Obs Value Obs 16 18 19 22 19 22 22 19 22 20 22 20 22 19 24 21 24 21 29 17 Stem Leaf # Boxplot Normal Probability Plot 28 0 1 | 29+ *+++++ 26 | | ++++ 24 0 1 +-----+ | +*+++ 22 00 2 *--+--* 23+ * ++*++ 20 | | | ++++ 18 0 1 +-----+ | +++*+ 16 0 1 | 17+ *+++ ----+----+----+----+ +----+----+----+----+----+----+----+----+----+----+ -2 -1 0 +1 +2 The SAS System 20:29 Sunday, April 1, 2012 13 ----------------------------------------------------------- make=Datsun ------------------------------------------------------------ The UNIVARIATE Procedure Variable: mpg Moments N 4 Sum Weights 4 Mean 25.75 Sum Observations 103 Std Deviation 6.2915287 Variance 39.5833333 Skewness 1.76176746 Kurtosis 3.29936842 Uncorrected SS 2771 Corrected SS 118.75 Coeff Variation 24.4331211 Std Error Mean 3.14576435 Basic Statistical Measures Location Variability Mean 25.75000 Std Deviation 6.29153 Median 23.50000 Variance 39.58333 Mode . Range 14.00000 Interquartile Range 7.50000 Tests for Location: Mu0=0 Test -Statistic- -----p Value------ Student's t t 8.18561 Pr > |t| 0.0038 Sign M 2 Pr >= |M| 0.1250 Signed Rank S 5 Pr >= |S| 0.1250 Quantiles (Definition 5) Quantile Estimate 100% Max 35.0 99% 35.0 95% 35.0 90% 35.0 75% Q3 29.5 50% Median 23.5 25% Q1 22.0 10% 21.0 5% 21.0 1% 21.0 0% Min 21.0 The SAS System 20:29 Sunday, April 1, 2012 14 ----------------------------------------------------------- make=Datsun ------------------------------------------------------------ The UNIVARIATE Procedure Variable: mpg Extreme Observations ----Lowest---- ----Highest--- Value Obs Value Obs 21 26 21 26 23 23 23 23 24 25 24 25 35 24 35 24 Stem Leaf # Boxplot Normal Probability Plot 34 0 1 | 35+ * +++ 32 | | ++++ 30 | | +++ 28 +-----+ | +++ 26 | | | +++ 24 0 1 | + | | +++ * 22 0 1 *-----* | ++* 20 0 1 | 21+ *++++ ----+----+----+----+ +----+----+----+----+----+----+----+----+----+----+ -2 -1 0 +1 +2 The SAS System 20:29 Sunday, April 1, 2012 15 The UNIVARIATE Procedure Variable: mpg Schematic Plots | 36 + | | | | | 34 + | | | | | | | 32 + | | | | | | | 30 + | | +-----+ | | | | | | | | 28 + | | | | | | | | | | | | | | | 26 + | | | + | | | | | | | *--+--* | | | | | | | | | 24 + | +-----+ | | | | | | *-----* | +-----+ | | | | | | | | | | | | | 22 + *-----* | | | *--+--* +-----+ | | | | | | | | | | | | | | | +-----+ | | | | | + | | | | | | | | 20 + | | *--+--* +-----+ | | | | | | | | | | | | | | | | | | | | *--+--* | | +-----+ | | | | | | | | | | 18 + | | | | | | | | | | | | | | | | | | | | +-----+ +-----+ | | | | | | | | | + | | 16 + +-----+ | | | | | | | | | | | | | | 14 + *-----* ------------+-----------+-----------+-----------+-----------+-----------+-----------+----------- make AMC Audi BMW Buick Cad. Chev. Datsun