R maksimum va minimum
Maksimum va minimum
Oldingi bobda mtcars ma’lumotlar to‘plami bilan tanishdik. Keyingi sahifalarda ham shu ma’lumotlar to‘plamidan foydalanishda davom etamiz.
R matematika bobidan R’da bir nechta o‘rnatilgan matematik funksiyalar borligini bilib oldingiz. Masalan, min() va max() funksiyalari to‘plamdagi eng kichik yoki eng katta qiymatni topish uchun ishlatilishi mumkin:
Misol
hp (ot kuchi) o‘zgaruvchisining eng katta va eng kichik qiymatini toping.
Data_Cars <- mtcars
max(Data_Cars$hp)
min(Data_Cars$hp)
Natija:
[1] 335
[1] 52
Endi to‘plamdagi eng katta ot kuchi qiymati 335, eng kichigi esa 52 ekanini bilamiz.
Bu ikki qiymat qaysi avtomobilga tegishli ekanini bilish uchun ma’lumotlar to‘plamini ko‘zdan kechirib chiqishimiz mumkin:
Avtomobillar kuzatuvi
mpg cyl disp hp drat wt qsec vs am gear carb Mazda RX4 21.0 6 160.0 110 3.90 2.620 16.46 0 1 4 4 Mazda RX4 Wag 21.0 6 160.0 110 3.90 2.875 17.02 0 1 4 4 Datsun 710 22.8 4 108.0 93 3.85 2.320 18.61 1 1 4 1 Hornet 4 Drive 21.4 6 258.0 110 3.08 3.215 19.44 1 0 3 1 Hornet Sportabout 18.7 8 360.0 175 3.15 3.440 17.02 0 0 3 2 Valiant 18.1 6 225.0 105 2.76 3.460 20.22 1 0 3 1 Duster 360 14.3 8 360.0 245 3.21 3.570 15.84 0 0 3 4 Merc 240D 24.4 4 146.7 62 3.69 3.190 20.00 1 0 4 2 Merc 230 22.8 4 140.8 95 3.92 3.150 22.90 1 0 4 2 Merc 280 19.2 6 167.6 123 3.92 3.440 18.30 1 0 4 4 Merc 280C 17.8 6 167.6 123 3.92 3.440 18.90 1 0 4 4 Merc 450SE 16.4 8 275.8 180 3.07 4.070 17.40 0 0 3 3 Merc 450SL 17.3 8 275.8 180 3.07 3.730 17.60 0 0 3 3 Merc 450SLC 15.2 8 275.8 180 3.07 3.780 18.00 0 0 3 3 Cadillac Fleetwood 10.4 8 472.0 205 2.93 5.250 17.98 0 0 3 4 Lincoln Continental 10.4 8 460.0 215 3.00 5.424 17.82 0 0 3 4 Chrysler Imperial 14.7 8 440.0 230 3.23 5.345 17.42 0 0 3 4 Fiat 128 32.4 4 78.7 66 4.08 2.200 19.47 1 1 4 1 Honda Civic 30.4 4 75.7 52 4.93 1.615 18.52 1 1 4 2 Toyota Corolla 33.9 4 71.1 65 4.22 1.835 19.90 1 1 4 1 Toyota Corona 21.5 4 120.1 97 3.70 2.465 20.01 1 0 3 1 Dodge Challenger 15.5 8 318.0 150 2.76 3.520 16.87 0 0 3 2 AMC Javelin 15.2 8 304.0 150 3.15 3.435 17.30 0 0 3 2 Camaro Z28 13.3 8 350.0 245 3.73 3.840 15.41 0 0 3 4 Pontiac Firebird 19.2 8 400.0 175 3.08 3.845 17.05 0 0 3 2 Fiat X1-9 27.3 4 79.0 66 4.08 1.935 18.90 1 1 4 1 Porsche 914-2 26.0 4 120.3 91 4.43 2.140 16.70 0 1 5 2 Lotus Europa 30.4 4 95.1 113 3.77 1.513 16.90 1 1 5 2 Ford Pantera L 15.8 8 351.0 264 4.22 3.170 14.50 0 1 5 4 Ferrari Dino 19.7 6 145.0 175 3.62 2.770 15.50 0 1 5 6 Maserati Bora 15.0 8 301.0 335 3.54 3.570 14.60 0 1 5 8 Volvo 142E 21.4 4 121.0 109 4.11 2.780 18.60 1 1 4 2
Jadvalni kuzatib, eng katta hp qiymati Maserati Bora’ga, eng kichigi esa Honda Civic’ga tegishli ekanini ko‘rish mumkin.
Biroq buni R’ning o‘ziga aniqlatish ancha oson (va ishonchliroq).
Masalan, jadvaldagi maksimal va minimal qiymatlarning indeks o‘rnini topish uchun which.max() va which.min() funksiyalaridan foydalanishimiz mumkin:
Misol
Data_Cars <- mtcars
which.max(Data_Cars$hp)
which.min(Data_Cars$hp)
Natija:
[1] 31
[1] 19
Yoki undan ham yaxshisi, eng katta va eng kichik ot kuchiga ega avtomobil nomini olish uchun which.max() va which.min() funksiyalarini rownames() funksiyasi bilan birlashtiring:
Misol
Data_Cars <- mtcars
rownames(Data_Cars)[which.max(Data_Cars$hp)]
rownames(Data_Cars)[which.min(Data_Cars$hp)]
Natija:
[1] "Maserati Bora"
[1] "Honda Civic"
Endi aniq bilamiz:
Maserati Bora — eng yuqori ot kuchiga ega avtomobil, Honda Civic esa eng past ot kuchiga ega avtomobil.
Chetga chiquvchi qiymatlar (outliers)
Max va min yordamida chetga chiquvchi qiymatlarni (outliers) ham aniqlash mumkin. Chetga chiquvchi qiymat — qolgan kuzatuvlardan farq qiladigan ma’lumot nuqtasi.
mtcars ma’lumotlar to‘plamida chetga chiquvchi qiymat bo‘lishi mumkin bo‘lgan ma’lumot nuqtalariga misollar:
- Agar avtomobildagi oldinga yurish uzatmalarining maksimal soni 11 ta bo‘lganida
- Agar avtomobilning minimal ot kuchi 0 bo‘lganida
- Agar avtomobilning maksimal og‘irligi 50 000 funt bo‘lganida
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