Cuartiles

cuartilesCuartiles.
Q=li+iin4-faafm

xi | F | Fa |
o-5 | 11 | 11 |
6-11 | 8 | 19 |
11-16 | 14 | 33 |
16-21 | 32 | 65 |
21-26 | 20 | 85 |
26-31 | 15 | 100 |
| N=115 | |

*Orden1
Q1= in4 = 1(115)4 = 28.75
* Sustituyendo
Q1=115+(28.75-1914)= 11+5(9.7514 )= 3.48 11+3.48 = 14.48
* Orden 2

Q2= in4 = 21154 = 57.5
* Sustituyendo
Q2=16+557.5-332=16+524.532= 3.82 = 16+3.82= 19.82

* 0rden 3
Q3in4 = 3(115)4 = 86.25
* Sustituyendo
Q3=26+586.25-8515= 26+51.2515= 0.41 = 26+0.41= 26.41
Deciles:
D1=li+iin10-faafm
xi | F | Fa |
o-5 |11 | 11 |
6-11 | 8 | 19 |
11-16 | 14 | 33 |
16-21 | 32 | 65 |
21-26 | 20 | 85 |
26-31 | 15 | 100 |
| N=115 | |
Orden1:
1(n)10= 1(115)10=11.5
Sustituyendo:D1=6+511.5-118=6+50.58=0.3125 ≫6+0.3125=R/6.31
Orden2:
D2=2(115)10=23
Sustituyendo:
D2=11+523-1914=11+5414=1.42 ≫11+1.42=R/12.42
Orden: 3
3(n)10= 3(115)10=34.5
Sustituyendo:
D3=16+534.5-3332=16+51.532=0.23≫16+0.23=R/16.23
Orden 4:
4(n)10= 4(115)10=46
Sustituyendo:
D4=16+546-3332=16+51332=2.03 ≫16+2.03=R/18.03
Orden 5:
5(n)10= 5(115)10=57.5
Sustituyendo:
D5=16+557.5-3332=16+524.532=3.82 ≫16+3.82=R/19.82
Orden6:
6(n)10= 6(115)10=69
Sustituyendo:
D6=21+569-6520=21+5420=1 ≫21+1=R/22
Orden: 7
7(n)10= 7(115)10=80.5
Sustituyendo:
D7=21+580.5-6520=21+515.520=3.87 ≫21+3.87=R/24.87
Orden 8:
8(n)10=8(115)10=92
Sustituyendo:
D8=26+592-8515=26+5715=2.33 ≫26+2.33=R/28.33
Orden 9:
9(n)10= 9(115)10=103.5
Sustituyendo:
D9=31+5103.5-10015=31+53.515=1.16 ≫31+1.16=R/32.16
Percentiles:
xi | F | Fa |o-5 | 11 | 11 |
6-11 | 8 | 19 |
11-16 | 14 | 33 |
16-21 | 32 | 65 |
21-26 | 20 | 85 |
26-31 | 15 | 100 |
| N=115 | |

Orden 1:
1(n)100= 9(115)100=1.15
Sustituyendo:P1=0+51.15-011=0+51.1511=51.511=R/0.68
Orden 2:
2(n)100= 2(115)100=2.3
Sustituyendo:
P2=0+52.3-011=0+52.311=R/1.04
Orden 3:
3(n)100= 3(115)100=3.45
Sustituyendo:
P3=0+53.45-011=0+53.4511=R/1.56
Orden 4:...