Cuartiles

CUARTILES

Q= LRI + [(fan-fa)/fcuartil] c = 117.5 + ((20-18)/7) 89 = 142.92

fQn= 80/4 = 20

fQ₂= 2n/4 = (2 (80))/4= 40 Q= 295.5+ ((40-39)/8) 89 = 306.62

fQ₃= 3n/4 = (3 (80))/4=60 Q= 384.5+ ((60-47)/21) 89= 439.59

DECILES

D= LRI + ((fan-fa)/fdecil)c

D₃=3n/10 = (3 (80))/10 = 24 D= 117.5 + ((24-18)/7) 89 = 193.78

D₆=6n/(10 )=(6(80))/10=48 D= 384.5 + ((48-47)/21) 89 =388.73

PERCILES

P₂₀= 20n/100= (20 (80))/100=16 P= 28.5 + ((16- 0)/18) 89=107.61

P₄₀ =(40 n)/100= (40 (80))/100=32 P= 206.5 + ((32-25)/14) 89=251

P₆₀=60n/100= (60 (80))/100=48 P= 384.5 + ((48-47)/21) 89=388.73

DESVIACIÓN MEDIA

DM= (∑_(i=1)^k▒〖fi |xi-xmedia|〗)/n

DM= 11906/80=148.825

RANGOS INTERCUARTÍLICO Y SEMIINTERCUARTÍLICO

Rintercuartílico= Q₃ - Q₁

= 439.5 -142-92

Rintercuartílico= 296.58

Rsemiintercuartílico= (Q3-Q1)/2

= (439.5 – 142.92)/2

Rsemiintercuartílico= 368.04

RANGO ENTRE PERCILES

Rpercentil 10-90 = P₉₀ - P₁₀

P₉₀ = 90n/100=(90 (80))/100=72 P= 473.5+((72-68)/6)89=532.83

P₁₀= 10n/100= (10 (80))/100=8 P= 206.5+((8-7)/14) 89=212.85

Rpercentil 10-90 = 532.83 – 212.85

Rpercentil 10-90 = 31CUARTILES

Q= LRI + [(fan-fa)/fcuartil] c = 117.5 + ((20-18)/7) 89 = 142.92

fQn= 80/4 = 20

fQ₂= 2n/4 = (2 (80))/4= 40 Q= 295.5+ ((40-39)/8) 89 = 306.62

fQ₃= 3n/4 = (3 (80))/4=60 Q= 384.5+ ((60-47)/21) 89= 439.59

DECILES

D= LRI + ((fan-fa)/fdecil)c

D₃=3n/10 = (3 (80))/10 = 24 D= 117.5 + ((24-18)/7) 89 = 193.78

D₆=6n/(10 )=(6(80))/10=48 D= 384.5 + ((48-47)/21) 89 =388.73

PERCILES

P₂₀= 20n/100= (20 (80))/100=16 P= 28.5 + ((16- 0)/18) 89=107.61

P₄₀ =(40 n)/100= (40 (80))/100=32 P= 206.5 + ((32-25)/14) 89=251

P₆₀=60n/100= (60 (80))/100=48 P= 384.5 + ((48-47)/21) 89=388.73

DESVIACIÓN MEDIA

DM= (∑_(i=1)^k▒〖fi |xi-xmedia|〗)/n

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