Se
tomaron medidas a bananos que están a la venta al público en el supermercado.
DISTRIBUCION
ASCENDENTE
Las medidas fueron tomadas en cm.
19 19 19 19 19 20 20 20 20 20 20
20 20 20 20 20 20 20 20 20
20 21 21 21 21 21 21 21 21 21 21
21 21 21 21 21 21 21 22 22
22 22 22 22 22 22 22 22 22 22 22
23 23 23 23 23 23 23 23 23
23 23 23 23 23 23 23 23 24 24 24
24 24 24 24 24 24 24 24 24
24 24 24 24 24 24 24 24 24 25 25
25 25 25 25 25 25 25 25 25
25 25 26 26 26 26 26 26 26 26 27
27 27 27 27 27 27 27 27 27
·
Rango
R= 27 –
19 = 8.0
·
N°
de clases
k= 1 +
3,32 log (120)
k= 7,90 =
8
Ancho de
clases
A =
8/7.90 = 1.01
TABLA DE
FRECUENCIA
|
PLATANOS
|
|||||||
|
N°
|
CLASES
|
F
|
Fa ↑
|
Fa↓
|
Fr
|
Fra ↑
|
Fra ↓
|
|
1
|
19--20,01
|
21
|
21
|
120
|
0,175
|
0,175
|
1,000
|
|
2
|
20,01--21,02
|
17
|
38
|
99
|
0,142
|
0,317
|
0,825
|
|
3
|
21,02--22,03
|
13
|
51
|
82
|
0,108
|
0,425
|
0,683
|
|
4
|
22,03--23,04
|
17
|
68
|
69
|
0,142
|
0,567
|
0,575
|
|
5
|
23,04--24,05
|
21
|
89
|
52
|
0,175
|
0,742
|
0,433
|
|
6
|
24,05-25,06
|
13
|
102
|
31
|
0,108
|
0,850
|
0,258
|
HISTOGRAMA
DIAGRAMA
CIRCULAR
DIAGRAMA
DE OJIVA
TABLA DE
FRECUENCIA
|
PLATANOS
|
||||||||||||
|
N°
|
CLASES
|
F
|
Fa ↑
|
Fa↓
|
Fr
|
Fra ↑
|
Fra ↓
|
X
|
F*X
|
X-X ̅
|
(X-X ̅) 2
|
f(X-X ̅) 2
|
|
1
|
19--20,01
|
21
|
21
|
120
|
0,175
|
0,175
|
1,000
|
19,505
|
409,605
|
-3,038
|
9,229
|
193,809
|
|
2
|
20,01--21,02
|
17
|
38
|
99
|
0,142
|
0,317
|
0,825
|
20,515
|
348,755
|
-2,028
|
4,112
|
69,904
|
|
3
|
21,02--22,03
|
13
|
51
|
82
|
0,108
|
0,425
|
0,683
|
21,525
|
279,825
|
-1,018
|
1,036
|
13,468
|
|
4
|
22,03--23,04
|
17
|
68
|
69
|
0,142
|
0,567
|
0,575
|
22,535
|
383,095
|
-0,008
|
6,733E-05
|
0,001
|
|
5
|
23,04--24,05
|
21
|
89
|
52
|
0,175
|
0,742
|
0,433
|
23,545
|
494,445
|
1,002
|
1,004
|
21,084
|
|
6
|
24,05-25,06
|
13
|
102
|
31
|
0,108
|
0,850
|
0,258
|
24,555
|
319,215
|
2,012
|
4,048
|
52,624
|
|
7
|
25,06--26,07
|
8
|
110
|
18
|
0,067
|
0,917
|
0,150
|
25,565
|
204,520
|
3,022
|
9,132
|
73,056
|
|
8
|
26,07--27,08
|
10
|
120
|
10
|
0,083
|
1,000
|
0,083
|
26,575
|
265,750
|
4,032
|
16,257
|
162,570
|
|
|
|
|
|
|
|
|
|
|
2705,210
|
|
|
586,516
|
Media aritmética
= 
=22543.416.
MODA:
|
19--20,01
|
21
|
|
20,01--21,02
|
17
|
D1 = 21-
0 = 21
D2 =
21-17 = 4
Mo = 19 + (21/21+4)* 1.01= 19.8484
|
22,03--23,04
|
17
|
|
23,04--24,05
|
21
|
|
24,05-25,06
|
13
|
D1 =
21-17 =4
D2 =
21-13 = 8
Mo =
23.04 + (4/4+8)*1.01= 23.37
MEDIANA
120/2 = 60
|
21,02--22,03
|
13
|
51
|
|
22,03--23,04
|
17
|
68
|
Li = 22.03
Fa = 51
A= 1.01
Me = 22.03 + (60-51/17)*1.01= 22.56
VARIANZA
S= 
=
=
S= 
= varianza
= varianza
S= 69.911 = desviación estándar
COEFICIENTE
DE VARIACIÓN
Cv = 
* 100=
* 100=
Cv = (69.911/22543.416)*100=
Cv = 0.310 %.
DIAGRAMA
DE CAJA
Q1 = 120*1/4= 30 Q1
= 20,01+ 
* 1,01 = 20.54
* 1,01 = 20.54
Li = 20,01
Fa = 21
f n*p/q= 17
|
N°
|
CLASES
|
F
|
Fa ↑
|
|
1
|
19--20,01
|
21
|
21
|
|
2
|
20,01--21,02
|
17
|
38
|
|
3
|
21,02--22,03
|
13
|
51
|
|
4
|
22,03--23,04
|
17
|
68
|
|
5
|
23,04--24,05
|
21
|
89
|
|
6
|
24,05-25,06
|
13
|
102
|
|
7
|
25,06--26,07
|
8
|
110
|
|
8
|
26,07--27,08
|
10
|
120
|
|
|
|
|
|
Q2 = 120*2/4= 60
Li = 22,03
Fa= 51
f n*p/q= 17
Q2 = 22,03+ 
* 1,01 = 22.56
* 1,01 = 22.56
Q3 = 120*3/4= 90
Li = 24,05
Fa= 89
f n*p/q= 13
Q3 = 24,05+ 
* 1,01 = 24.12 =
24
* 1,01 = 24.12 =
24
Li = 20.54- 1.5 
)= 17.855
)= 17.855
Ls =
Ls = 24.12+ 1.5 )=26.805
)=26.805
Q1 = 20.25
Q2 =
22.56
Q3 = 24.12
Li = 17.855
Ls = 26.805
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