Basic Summary Statistics in R
Prof. Adam Loy
Data
Let’s again consider the AmesHousing data set, which provides information on the sales of individual residential properties in Ames, Iowa from 2006 to 2010. The data set contains 2930 observations, and a large number of explanatory variables involved in assessing home values. A full description of this data set can be found here.
AmesHousing <- read.csv("data/AmesHousing.csv")After we load any data set, it can be useful to see how big it is
dim(AmesHousing)## [1] 2930 82what variable types we have
str(AmesHousing)## 'data.frame': 2930 obs. of 82 variables:
## $ Order : int 1 2 3 4 5 6 7 8 9 10 ...
## $ PID : int 526301100 526350040 526351010 526353030 527105010 527105030 527127150 527145080 527146030 527162130 ...
## $ MS.SubClass : int 20 20 20 20 60 60 120 120 120 60 ...
## $ MS.Zoning : Factor w/ 7 levels "A (agr)","C (all)",..: 6 5 6 6 6 6 6 6 6 6 ...
## $ Lot.Frontage : int 141 80 81 93 74 78 41 43 39 60 ...
## $ Lot.Area : int 31770 11622 14267 11160 13830 9978 4920 5005 5389 7500 ...
## $ Street : Factor w/ 2 levels "Grvl","Pave": 2 2 2 2 2 2 2 2 2 2 ...
## $ Alley : Factor w/ 2 levels "Grvl","Pave": NA NA NA NA NA NA NA NA NA NA ...
## $ Lot.Shape : Factor w/ 4 levels "IR1","IR2","IR3",..: 1 4 1 4 1 1 4 1 1 4 ...
## $ Land.Contour : Factor w/ 4 levels "Bnk","HLS","Low",..: 4 4 4 4 4 4 4 2 4 4 ...
## $ Utilities : Factor w/ 3 levels "AllPub","NoSeWa",..: 1 1 1 1 1 1 1 1 1 1 ...
## $ Lot.Config : Factor w/ 5 levels "Corner","CulDSac",..: 1 5 1 1 5 5 5 5 5 5 ...
## $ Land.Slope : Factor w/ 3 levels "Gtl","Mod","Sev": 1 1 1 1 1 1 1 1 1 1 ...
## $ Neighborhood : Factor w/ 28 levels "Blmngtn","Blueste",..: 16 16 16 16 9 9 25 25 25 9 ...
## $ Condition.1 : Factor w/ 9 levels "Artery","Feedr",..: 3 2 3 3 3 3 3 3 3 3 ...
## $ Condition.2 : Factor w/ 8 levels "Artery","Feedr",..: 3 3 3 3 3 3 3 3 3 3 ...
## $ Bldg.Type : Factor w/ 5 levels "1Fam","2fmCon",..: 1 1 1 1 1 1 5 5 5 1 ...
## $ House.Style : Factor w/ 8 levels "1.5Fin","1.5Unf",..: 3 3 3 3 6 6 3 3 3 6 ...
## $ Overall.Qual : int 6 5 6 7 5 6 8 8 8 7 ...
## $ Overall.Cond : int 5 6 6 5 5 6 5 5 5 5 ...
## $ Year.Built : int 1960 1961 1958 1968 1997 1998 2001 1992 1995 1999 ...
## $ Year.Remod.Add : int 1960 1961 1958 1968 1998 1998 2001 1992 1996 1999 ...
## $ Roof.Style : Factor w/ 6 levels "Flat","Gable",..: 4 2 4 4 2 2 2 2 2 2 ...
## $ Roof.Matl : Factor w/ 8 levels "ClyTile","CompShg",..: 2 2 2 2 2 2 2 2 2 2 ...
## $ Exterior.1st : Factor w/ 16 levels "AsbShng","AsphShn",..: 4 14 15 4 14 14 6 7 6 14 ...
## $ Exterior.2nd : Factor w/ 17 levels "AsbShng","AsphShn",..: 11 15 16 4 15 15 6 7 6 15 ...
## $ Mas.Vnr.Type : Factor w/ 6 levels "","BrkCmn","BrkFace",..: 6 5 3 5 5 3 5 5 5 5 ...
## $ Mas.Vnr.Area : int 112 0 108 0 0 20 0 0 0 0 ...
## $ Exter.Qual : Factor w/ 4 levels "Ex","Fa","Gd",..: 4 4 4 3 4 4 3 3 3 4 ...
## $ Exter.Cond : Factor w/ 5 levels "Ex","Fa","Gd",..: 5 5 5 5 5 5 5 5 5 5 ...
## $ Foundation : Factor w/ 6 levels "BrkTil","CBlock",..: 2 2 2 2 3 3 3 3 3 3 ...
## $ Bsmt.Qual : Factor w/ 6 levels "","Ex","Fa","Gd",..: 6 6 6 6 4 6 4 4 4 6 ...
## $ Bsmt.Cond : Factor w/ 6 levels "","Ex","Fa","Gd",..: 4 6 6 6 6 6 6 6 6 6 ...
## $ Bsmt.Exposure : Factor w/ 5 levels "","Av","Gd","Mn",..: 3 5 5 5 5 5 4 5 5 5 ...
## $ BsmtFin.Type.1 : Factor w/ 7 levels "","ALQ","BLQ",..: 3 6 2 2 4 4 4 2 4 7 ...
## $ BsmtFin.SF.1 : int 639 468 923 1065 791 602 616 263 1180 0 ...
## $ BsmtFin.Type.2 : Factor w/ 7 levels "","ALQ","BLQ",..: 7 5 7 7 7 7 7 7 7 7 ...
## $ BsmtFin.SF.2 : int 0 144 0 0 0 0 0 0 0 0 ...
## $ Bsmt.Unf.SF : int 441 270 406 1045 137 324 722 1017 415 994 ...
## $ Total.Bsmt.SF : int 1080 882 1329 2110 928 926 1338 1280 1595 994 ...
## $ Heating : Factor w/ 6 levels "Floor","GasA",..: 2 2 2 2 2 2 2 2 2 2 ...
## $ Heating.QC : Factor w/ 5 levels "Ex","Fa","Gd",..: 2 5 5 1 3 1 1 1 1 3 ...
## $ Central.Air : Factor w/ 2 levels "N","Y": 2 2 2 2 2 2 2 2 2 2 ...
## $ Electrical : Factor w/ 6 levels "","FuseA","FuseF",..: 6 6 6 6 6 6 6 6 6 6 ...
## $ X1st.Flr.SF : int 1656 896 1329 2110 928 926 1338 1280 1616 1028 ...
## $ X2nd.Flr.SF : int 0 0 0 0 701 678 0 0 0 776 ...
## $ Low.Qual.Fin.SF: int 0 0 0 0 0 0 0 0 0 0 ...
## $ Gr.Liv.Area : int 1656 896 1329 2110 1629 1604 1338 1280 1616 1804 ...
## $ Bsmt.Full.Bath : int 1 0 0 1 0 0 1 0 1 0 ...
## $ Bsmt.Half.Bath : int 0 0 0 0 0 0 0 0 0 0 ...
## $ Full.Bath : int 1 1 1 2 2 2 2 2 2 2 ...
## $ Half.Bath : int 0 0 1 1 1 1 0 0 0 1 ...
## $ Bedroom.AbvGr : int 3 2 3 3 3 3 2 2 2 3 ...
## $ Kitchen.AbvGr : int 1 1 1 1 1 1 1 1 1 1 ...
## $ Kitchen.Qual : Factor w/ 5 levels "Ex","Fa","Gd",..: 5 5 3 1 5 3 3 3 3 3 ...
## $ TotRms.AbvGrd : int 7 5 6 8 6 7 6 5 5 7 ...
## $ Functional : Factor w/ 8 levels "Maj1","Maj2",..: 8 8 8 8 8 8 8 8 8 8 ...
## $ Fireplaces : int 2 0 0 2 1 1 0 0 1 1 ...
## $ Fireplace.Qu : Factor w/ 5 levels "Ex","Fa","Gd",..: 3 NA NA 5 5 3 NA NA 5 5 ...
## $ Garage.Type : Factor w/ 6 levels "2Types","Attchd",..: 2 2 2 2 2 2 2 2 2 2 ...
## $ Garage.Yr.Blt : int 1960 1961 1958 1968 1997 1998 2001 1992 1995 1999 ...
## $ Garage.Finish : Factor w/ 4 levels "","Fin","RFn",..: 2 4 4 2 2 2 2 3 3 2 ...
## $ Garage.Cars : int 2 1 1 2 2 2 2 2 2 2 ...
## $ Garage.Area : int 528 730 312 522 482 470 582 506 608 442 ...
## $ Garage.Qual : Factor w/ 6 levels "","Ex","Fa","Gd",..: 6 6 6 6 6 6 6 6 6 6 ...
## $ Garage.Cond : Factor w/ 6 levels "","Ex","Fa","Gd",..: 6 6 6 6 6 6 6 6 6 6 ...
## $ Paved.Drive : Factor w/ 3 levels "N","P","Y": 2 3 3 3 3 3 3 3 3 3 ...
## $ Wood.Deck.SF : int 210 140 393 0 212 360 0 0 237 140 ...
## $ Open.Porch.SF : int 62 0 36 0 34 36 0 82 152 60 ...
## $ Enclosed.Porch : int 0 0 0 0 0 0 170 0 0 0 ...
## $ X3Ssn.Porch : int 0 0 0 0 0 0 0 0 0 0 ...
## $ Screen.Porch : int 0 120 0 0 0 0 0 144 0 0 ...
## $ Pool.Area : int 0 0 0 0 0 0 0 0 0 0 ...
## $ Pool.QC : Factor w/ 4 levels "Ex","Fa","Gd",..: NA NA NA NA NA NA NA NA NA NA ...
## $ Fence : Factor w/ 4 levels "GdPrv","GdWo",..: NA 3 NA NA 3 NA NA NA NA NA ...
## $ Misc.Feature : Factor w/ 5 levels "Elev","Gar2",..: NA NA 2 NA NA NA NA NA NA NA ...
## $ Misc.Val : int 0 0 12500 0 0 0 0 0 0 0 ...
## $ Mo.Sold : int 5 6 6 4 3 6 4 1 3 6 ...
## $ Yr.Sold : int 2010 2010 2010 2010 2010 2010 2010 2010 2010 2010 ...
## $ Sale.Type : Factor w/ 10 levels "COD","Con","ConLD",..: 10 10 10 10 10 10 10 10 10 10 ...
## $ Sale.Condition : Factor w/ 6 levels "Abnorml","AdjLand",..: 5 5 5 5 5 5 5 5 5 5 ...
## $ SalePrice : int 215000 105000 172000 244000 189900 195500 213500 191500 236500 189000 ...and the first few rows
head(AmesHousing)| Order | PID | MS.SubClass | MS.Zoning | Lot.Frontage | Lot.Area | Street | Alley | Lot.Shape | Land.Contour | Utilities | Lot.Config | Land.Slope | Neighborhood | Condition.1 | Condition.2 | Bldg.Type | House.Style | Overall.Qual | Overall.Cond | Year.Built | Year.Remod.Add | Roof.Style | Roof.Matl | Exterior.1st | Exterior.2nd | Mas.Vnr.Type | Mas.Vnr.Area | Exter.Qual | Exter.Cond | Foundation | Bsmt.Qual | Bsmt.Cond | Bsmt.Exposure | BsmtFin.Type.1 | BsmtFin.SF.1 | BsmtFin.Type.2 | BsmtFin.SF.2 | Bsmt.Unf.SF | Total.Bsmt.SF | Heating | Heating.QC | Central.Air | Electrical | X1st.Flr.SF | X2nd.Flr.SF | Low.Qual.Fin.SF | Gr.Liv.Area | Bsmt.Full.Bath | Bsmt.Half.Bath | Full.Bath | Half.Bath | Bedroom.AbvGr | Kitchen.AbvGr | Kitchen.Qual | TotRms.AbvGrd | Functional | Fireplaces | Fireplace.Qu | Garage.Type | Garage.Yr.Blt | Garage.Finish | Garage.Cars | Garage.Area | Garage.Qual | Garage.Cond | Paved.Drive | Wood.Deck.SF | Open.Porch.SF | Enclosed.Porch | X3Ssn.Porch | Screen.Porch | Pool.Area | Pool.QC | Fence | Misc.Feature | Misc.Val | Mo.Sold | Yr.Sold | Sale.Type | Sale.Condition | SalePrice |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | 526301100 | 20 | RL | 141 | 31770 | Pave | NA | IR1 | Lvl | AllPub | Corner | Gtl | NAmes | Norm | Norm | 1Fam | 1Story | 6 | 5 | 1960 | 1960 | Hip | CompShg | BrkFace | Plywood | Stone | 112 | TA | TA | CBlock | TA | Gd | Gd | BLQ | 639 | Unf | 0 | 441 | 1080 | GasA | Fa | Y | SBrkr | 1656 | 0 | 0 | 1656 | 1 | 0 | 1 | 0 | 3 | 1 | TA | 7 | Typ | 2 | Gd | Attchd | 1960 | Fin | 2 | 528 | TA | TA | P | 210 | 62 | 0 | 0 | 0 | 0 | NA | NA | NA | 0 | 5 | 2010 | WD | Normal | 215000 |
| 2 | 526350040 | 20 | RH | 80 | 11622 | Pave | NA | Reg | Lvl | AllPub | Inside | Gtl | NAmes | Feedr | Norm | 1Fam | 1Story | 5 | 6 | 1961 | 1961 | Gable | CompShg | VinylSd | VinylSd | None | 0 | TA | TA | CBlock | TA | TA | No | Rec | 468 | LwQ | 144 | 270 | 882 | GasA | TA | Y | SBrkr | 896 | 0 | 0 | 896 | 0 | 0 | 1 | 0 | 2 | 1 | TA | 5 | Typ | 0 | NA | Attchd | 1961 | Unf | 1 | 730 | TA | TA | Y | 140 | 0 | 0 | 0 | 120 | 0 | NA | MnPrv | NA | 0 | 6 | 2010 | WD | Normal | 105000 |
| 3 | 526351010 | 20 | RL | 81 | 14267 | Pave | NA | IR1 | Lvl | AllPub | Corner | Gtl | NAmes | Norm | Norm | 1Fam | 1Story | 6 | 6 | 1958 | 1958 | Hip | CompShg | Wd Sdng | Wd Sdng | BrkFace | 108 | TA | TA | CBlock | TA | TA | No | ALQ | 923 | Unf | 0 | 406 | 1329 | GasA | TA | Y | SBrkr | 1329 | 0 | 0 | 1329 | 0 | 0 | 1 | 1 | 3 | 1 | Gd | 6 | Typ | 0 | NA | Attchd | 1958 | Unf | 1 | 312 | TA | TA | Y | 393 | 36 | 0 | 0 | 0 | 0 | NA | NA | Gar2 | 12500 | 6 | 2010 | WD | Normal | 172000 |
| 4 | 526353030 | 20 | RL | 93 | 11160 | Pave | NA | Reg | Lvl | AllPub | Corner | Gtl | NAmes | Norm | Norm | 1Fam | 1Story | 7 | 5 | 1968 | 1968 | Hip | CompShg | BrkFace | BrkFace | None | 0 | Gd | TA | CBlock | TA | TA | No | ALQ | 1065 | Unf | 0 | 1045 | 2110 | GasA | Ex | Y | SBrkr | 2110 | 0 | 0 | 2110 | 1 | 0 | 2 | 1 | 3 | 1 | Ex | 8 | Typ | 2 | TA | Attchd | 1968 | Fin | 2 | 522 | TA | TA | Y | 0 | 0 | 0 | 0 | 0 | 0 | NA | NA | NA | 0 | 4 | 2010 | WD | Normal | 244000 |
| 5 | 527105010 | 60 | RL | 74 | 13830 | Pave | NA | IR1 | Lvl | AllPub | Inside | Gtl | Gilbert | Norm | Norm | 1Fam | 2Story | 5 | 5 | 1997 | 1998 | Gable | CompShg | VinylSd | VinylSd | None | 0 | TA | TA | PConc | Gd | TA | No | GLQ | 791 | Unf | 0 | 137 | 928 | GasA | Gd | Y | SBrkr | 928 | 701 | 0 | 1629 | 0 | 0 | 2 | 1 | 3 | 1 | TA | 6 | Typ | 1 | TA | Attchd | 1997 | Fin | 2 | 482 | TA | TA | Y | 212 | 34 | 0 | 0 | 0 | 0 | NA | MnPrv | NA | 0 | 3 | 2010 | WD | Normal | 189900 |
| 6 | 527105030 | 60 | RL | 78 | 9978 | Pave | NA | IR1 | Lvl | AllPub | Inside | Gtl | Gilbert | Norm | Norm | 1Fam | 2Story | 6 | 6 | 1998 | 1998 | Gable | CompShg | VinylSd | VinylSd | BrkFace | 20 | TA | TA | PConc | TA | TA | No | GLQ | 602 | Unf | 0 | 324 | 926 | GasA | Ex | Y | SBrkr | 926 | 678 | 0 | 1604 | 0 | 0 | 2 | 1 | 3 | 1 | Gd | 7 | Typ | 1 | Gd | Attchd | 1998 | Fin | 2 | 470 | TA | TA | Y | 360 | 36 | 0 | 0 | 0 | 0 | NA | NA | NA | 0 | 6 | 2010 | WD | Normal | 195500 |
Displaying the distribution of sales price
In lab we saw how to display univariate and bivariate distributions. For example, we can easily create a histogram of the sale price:
ggplot(data = AmesHousing, mapping = aes(x = SalePrice)) +
geom_histogram(fill = "steelblue2", color = "black", binwidth = 10000) +
labs(x = "Sale price (in $)")
Summarizing distributions
How much is a typical home in Ames, IA? The median seems like a reasonable choice.
median(AmesHousing$SalePrice)## [1] 160000We can find out more information via the five-number summary:
quantile(AmesHousing$SalePrice)## 0% 25% 50% 75% 100%
## 12789 129500 160000 213500 755000If we need to calculate the IQR, we can do so by hand from the above table, or use the IQR function.
IQR(AmesHousing$SalePrice)## [1] 84000Another useful function is the summary function, which can be run a single variable, or an entire data set.
# example with single quantitative variable
summary(AmesHousing$SalePrice)## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 12790 129500 160000 180800 213500 755000# example with single categorical variable
summary(AmesHousing$Central.Air)## N Y
## 196 2734# example with entire data set
summary(AmesHousing)## Order PID MS.SubClass MS.Zoning
## Min. : 1.0 Min. :5.263e+08 Min. : 20.00 A (agr): 2
## 1st Qu.: 733.2 1st Qu.:5.285e+08 1st Qu.: 20.00 C (all): 25
## Median :1465.5 Median :5.355e+08 Median : 50.00 FV : 139
## Mean :1465.5 Mean :7.145e+08 Mean : 57.39 I (all): 2
## 3rd Qu.:2197.8 3rd Qu.:9.072e+08 3rd Qu.: 70.00 RH : 27
## Max. :2930.0 Max. :1.007e+09 Max. :190.00 RL :2273
## RM : 462
## Lot.Frontage Lot.Area Street Alley Lot.Shape
## Min. : 21.00 Min. : 1300 Grvl: 12 Grvl: 120 IR1: 979
## 1st Qu.: 58.00 1st Qu.: 7440 Pave:2918 Pave: 78 IR2: 76
## Median : 68.00 Median : 9436 NA's:2732 IR3: 16
## Mean : 69.22 Mean : 10148 Reg:1859
## 3rd Qu.: 80.00 3rd Qu.: 11555
## Max. :313.00 Max. :215245
## NA's :490
## Land.Contour Utilities Lot.Config Land.Slope Neighborhood
## Bnk: 117 AllPub:2927 Corner : 511 Gtl:2789 NAmes : 443
## HLS: 120 NoSeWa: 1 CulDSac: 180 Mod: 125 CollgCr: 267
## Low: 60 NoSewr: 2 FR2 : 85 Sev: 16 OldTown: 239
## Lvl:2633 FR3 : 14 Edwards: 194
## Inside :2140 Somerst: 182
## NridgHt: 166
## (Other):1439
## Condition.1 Condition.2 Bldg.Type House.Style
## Norm :2522 Norm :2900 1Fam :2425 1Story :1481
## Feedr : 164 Feedr : 13 2fmCon: 62 2Story : 873
## Artery : 92 Artery : 5 Duplex: 109 1.5Fin : 314
## RRAn : 50 PosA : 4 Twnhs : 101 SLvl : 128
## PosN : 39 PosN : 4 TwnhsE: 233 SFoyer : 83
## RRAe : 28 RRNn : 2 2.5Unf : 24
## (Other): 35 (Other): 2 (Other): 27
## Overall.Qual Overall.Cond Year.Built Year.Remod.Add
## Min. : 1.000 Min. :1.000 Min. :1872 Min. :1950
## 1st Qu.: 5.000 1st Qu.:5.000 1st Qu.:1954 1st Qu.:1965
## Median : 6.000 Median :5.000 Median :1973 Median :1993
## Mean : 6.095 Mean :5.563 Mean :1971 Mean :1984
## 3rd Qu.: 7.000 3rd Qu.:6.000 3rd Qu.:2001 3rd Qu.:2004
## Max. :10.000 Max. :9.000 Max. :2010 Max. :2010
##
## Roof.Style Roof.Matl Exterior.1st Exterior.2nd
## Flat : 20 CompShg:2887 VinylSd:1026 VinylSd:1015
## Gable :2321 Tar&Grv: 23 MetalSd: 450 MetalSd: 447
## Gambrel: 22 WdShake: 9 HdBoard: 442 HdBoard: 406
## Hip : 551 WdShngl: 7 Wd Sdng: 420 Wd Sdng: 397
## Mansard: 11 ClyTile: 1 Plywood: 221 Plywood: 274
## Shed : 5 Membran: 1 CemntBd: 126 CmentBd: 126
## (Other): 2 (Other): 245 (Other): 265
## Mas.Vnr.Type Mas.Vnr.Area Exter.Qual Exter.Cond Foundation
## : 23 Min. : 0.0 Ex: 107 Ex: 12 BrkTil: 311
## BrkCmn : 25 1st Qu.: 0.0 Fa: 35 Fa: 67 CBlock:1244
## BrkFace: 880 Median : 0.0 Gd: 989 Gd: 299 PConc :1310
## CBlock : 1 Mean : 101.9 TA:1799 Po: 3 Slab : 49
## None :1752 3rd Qu.: 164.0 TA:2549 Stone : 11
## Stone : 249 Max. :1600.0 Wood : 5
## NA's :23
## Bsmt.Qual Bsmt.Cond Bsmt.Exposure BsmtFin.Type.1 BsmtFin.SF.1
## : 1 : 1 : 4 GLQ :859 Min. : 0.0
## Ex : 258 Ex : 3 Av : 418 Unf :851 1st Qu.: 0.0
## Fa : 88 Fa : 104 Gd : 284 ALQ :429 Median : 370.0
## Gd :1219 Gd : 122 Mn : 239 Rec :288 Mean : 442.6
## Po : 2 Po : 5 No :1906 BLQ :269 3rd Qu.: 734.0
## TA :1283 TA :2616 NA's: 79 (Other):155 Max. :5644.0
## NA's: 79 NA's: 79 NA's : 79 NA's :1
## BsmtFin.Type.2 BsmtFin.SF.2 Bsmt.Unf.SF Total.Bsmt.SF
## Unf :2499 Min. : 0.00 Min. : 0.0 Min. : 0
## Rec : 106 1st Qu.: 0.00 1st Qu.: 219.0 1st Qu.: 793
## LwQ : 89 Median : 0.00 Median : 466.0 Median : 990
## BLQ : 68 Mean : 49.72 Mean : 559.3 Mean :1052
## ALQ : 53 3rd Qu.: 0.00 3rd Qu.: 802.0 3rd Qu.:1302
## (Other): 36 Max. :1526.00 Max. :2336.0 Max. :6110
## NA's : 79 NA's :1 NA's :1 NA's :1
## Heating Heating.QC Central.Air Electrical X1st.Flr.SF
## Floor: 1 Ex:1495 N: 196 : 1 Min. : 334.0
## GasA :2885 Fa: 92 Y:2734 FuseA: 188 1st Qu.: 876.2
## GasW : 27 Gd: 476 FuseF: 50 Median :1084.0
## Grav : 9 Po: 3 FuseP: 8 Mean :1159.6
## OthW : 2 TA: 864 Mix : 1 3rd Qu.:1384.0
## Wall : 6 SBrkr:2682 Max. :5095.0
##
## X2nd.Flr.SF Low.Qual.Fin.SF Gr.Liv.Area Bsmt.Full.Bath
## Min. : 0.0 Min. : 0.000 Min. : 334 Min. :0.0000
## 1st Qu.: 0.0 1st Qu.: 0.000 1st Qu.:1126 1st Qu.:0.0000
## Median : 0.0 Median : 0.000 Median :1442 Median :0.0000
## Mean : 335.5 Mean : 4.677 Mean :1500 Mean :0.4314
## 3rd Qu.: 703.8 3rd Qu.: 0.000 3rd Qu.:1743 3rd Qu.:1.0000
## Max. :2065.0 Max. :1064.000 Max. :5642 Max. :3.0000
## NA's :2
## Bsmt.Half.Bath Full.Bath Half.Bath Bedroom.AbvGr
## Min. :0.00000 Min. :0.000 Min. :0.0000 Min. :0.000
## 1st Qu.:0.00000 1st Qu.:1.000 1st Qu.:0.0000 1st Qu.:2.000
## Median :0.00000 Median :2.000 Median :0.0000 Median :3.000
## Mean :0.06113 Mean :1.567 Mean :0.3795 Mean :2.854
## 3rd Qu.:0.00000 3rd Qu.:2.000 3rd Qu.:1.0000 3rd Qu.:3.000
## Max. :2.00000 Max. :4.000 Max. :2.0000 Max. :8.000
## NA's :2
## Kitchen.AbvGr Kitchen.Qual TotRms.AbvGrd Functional
## Min. :0.000 Ex: 205 Min. : 2.000 Typ :2728
## 1st Qu.:1.000 Fa: 70 1st Qu.: 5.000 Min2 : 70
## Median :1.000 Gd:1160 Median : 6.000 Min1 : 65
## Mean :1.044 Po: 1 Mean : 6.443 Mod : 35
## 3rd Qu.:1.000 TA:1494 3rd Qu.: 7.000 Maj1 : 19
## Max. :3.000 Max. :15.000 Maj2 : 9
## (Other): 4
## Fireplaces Fireplace.Qu Garage.Type Garage.Yr.Blt Garage.Finish
## Min. :0.0000 Ex : 43 2Types : 23 Min. :1895 : 2
## 1st Qu.:0.0000 Fa : 75 Attchd :1731 1st Qu.:1960 Fin : 728
## Median :1.0000 Gd : 744 Basment: 36 Median :1979 RFn : 812
## Mean :0.5993 Po : 46 BuiltIn: 186 Mean :1978 Unf :1231
## 3rd Qu.:1.0000 TA : 600 CarPort: 15 3rd Qu.:2002 NA's: 157
## Max. :4.0000 NA's:1422 Detchd : 782 Max. :2207
## NA's : 157 NA's :159
## Garage.Cars Garage.Area Garage.Qual Garage.Cond Paved.Drive
## Min. :0.000 Min. : 0.0 : 1 : 1 N: 216
## 1st Qu.:1.000 1st Qu.: 320.0 Ex : 3 Ex : 3 P: 62
## Median :2.000 Median : 480.0 Fa : 124 Fa : 74 Y:2652
## Mean :1.767 Mean : 472.8 Gd : 24 Gd : 15
## 3rd Qu.:2.000 3rd Qu.: 576.0 Po : 5 Po : 14
## Max. :5.000 Max. :1488.0 TA :2615 TA :2665
## NA's :1 NA's :1 NA's: 158 NA's: 158
## Wood.Deck.SF Open.Porch.SF Enclosed.Porch X3Ssn.Porch
## Min. : 0.00 Min. : 0.00 Min. : 0.00 Min. : 0.000
## 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.000
## Median : 0.00 Median : 27.00 Median : 0.00 Median : 0.000
## Mean : 93.75 Mean : 47.53 Mean : 23.01 Mean : 2.592
## 3rd Qu.: 168.00 3rd Qu.: 70.00 3rd Qu.: 0.00 3rd Qu.: 0.000
## Max. :1424.00 Max. :742.00 Max. :1012.00 Max. :508.000
##
## Screen.Porch Pool.Area Pool.QC Fence Misc.Feature
## Min. : 0 Min. : 0.000 Ex : 4 GdPrv: 118 Elev: 1
## 1st Qu.: 0 1st Qu.: 0.000 Fa : 2 GdWo : 112 Gar2: 5
## Median : 0 Median : 0.000 Gd : 4 MnPrv: 330 Othr: 4
## Mean : 16 Mean : 2.243 TA : 3 MnWw : 12 Shed: 95
## 3rd Qu.: 0 3rd Qu.: 0.000 NA's:2917 NA's :2358 TenC: 1
## Max. :576 Max. :800.000 NA's:2824
##
## Misc.Val Mo.Sold Yr.Sold Sale.Type
## Min. : 0.00 Min. : 1.000 Min. :2006 WD :2536
## 1st Qu.: 0.00 1st Qu.: 4.000 1st Qu.:2007 New : 239
## Median : 0.00 Median : 6.000 Median :2008 COD : 87
## Mean : 50.63 Mean : 6.216 Mean :2008 ConLD : 26
## 3rd Qu.: 0.00 3rd Qu.: 8.000 3rd Qu.:2009 CWD : 12
## Max. :17000.00 Max. :12.000 Max. :2010 ConLI : 9
## (Other): 21
## Sale.Condition SalePrice
## Abnorml: 190 Min. : 12789
## AdjLand: 12 1st Qu.:129500
## Alloca : 24 Median :160000
## Family : 46 Mean :180796
## Normal :2413 3rd Qu.:213500
## Partial: 245 Max. :755000
## Other useful summary statistics functions
meansdminmax