This document contains information about measures of dispersion (medidas de dispersión) for a classroom assignment. It includes the names of students, the teacher, topic, grade and section. It also lists the data values, and calculates the range, mean, variance, standard deviation and coefficient of variation for several data sets.

7. -Acevedo, Sebastian PROFESOR: Roberto Vite
-Andrade, Tiana
-Castillo, Fabricio
-Chapoñan, Mauricio TEMA: Medidas de dispersión
-Garcia, Nataly
-Zuñiga, Ayelen GRADO Y SECCIÓN: 4to A
INTEGRANTES

8. TEMA:
Medidas De Dispersión
PROFESOR:
Roberto Vite
GRADO:
4To
SECCIÓN:
¨A¨

9. PROPÓSITO:
¨Determinar el rango, la varianza,
desviación estándar y coeficiente
variación¨

10. Medidas de
dispersión

11. 5,25
5,75
6,25
6,75
7,25
7.75
8,25
47.25
(fi)(xi)
5.25
11.5
18.75
27
58
7.75
41.25
169.5
RANGO: 8.5 - 5: 3.5
MEDIA: 169.5
_____ = 7.06
24

12. 2 2 2 2 2 2 2
VARIANZA: (5.25-7.06)+ (5.75-7.06)+ (6.25-7.06) +(6.75-7.06) +(7.25-7.06)+(7.75-7.06) +(8.25-
7.06)
24
3.28+1.72+0.66+0.09+0.03+0.47+1.41
24
= 0.32
DESVIACIÓN ESTÁNDAR: 0.565
COEFICIENTE DE VARIACIÓN: 0.565 = 0.0235 X 100 = 2.35
24

13. Rango : Max. valor-mín. valor
Rango : 94-55. Rango : 39
La media : 71,7
La varianza : (58,5 - 71,7)2 +
(66,5 - 71, 7)2 + (74,5 - 71,7)2 +
(82,5 - 71,7)2 + (90,5 - 71,7)2
(174.24 + 27,04 + 7,84 + 116,64
+ 353,44) / 40
16,98
Desviación : √16.98 = 4,12
Coeficiente de variación : (4,12/40)
100 = 10,3%

14. 38-49-50-50-60-60-63-65-69-70-
75-75-75-75-77-80-80-80-82-85-
88-90-90-95-95-100-100-100-100-
100
Ramgo: 100-38=62
Media: 2316 = 77.2
30
Varianza: (38-77.2)²+(49-77.2)²+(50-77.2)²+(50-
77.2)²+(60-77.2)²+(60-77.2)²+(63-77.2)²+(65-
77.2)²+(69-77.2)²+(70-77.2)²+(75-77.2)²+(75-
77.2)²+(75-77.2)²+(75-77.2)²+(77-77.2)²+(80-
77.2)²+(80-77.2)²+(80-77.2)²+(82-77.2)²+(85-
77.2)²+(88-77.2)²+(90-77.2)²+(90-77.2)²+(95-
77.2)²+(95-77.2)²+(100-77.2)²+(100-77.2)²+(100-
77.2)²+(100-77.2)²+(100-77.2)²
30
1536.64+795.24+739.84+739.84+295.84+295.84+2
01.64+148.84+67.24+51.84+4.84+4.84+4.84+4.84+0
.04+7.84+7.84+7.84+23.04+60.84+116.64+163.84+1
63.84+316.84+316.84+519.84+519.84+519.84+519.8
4+519.84=8676.8=289.226
30
Desviación estándar:√ 289.226=
17.00664576
Coeficiente de variación:
17.00664576/77.2=0.2202933389*100=
22.02933389

15. RANGO: 8,42-5,42=3
MEDIA: 169,9 = 7,079166...
24
VARIANZA: (5,42-7,07916)^2+(5,56-7,07916)^2+(5,90-
7,07916)^2+(6,12-7,07916)^2+(6,18-7,07916)^2+(6,22-
7,07916)^2+(6,44-7,07916)^2+(6,76-7,07916)^2+(6,84-
7,07916)^2+(6,87-7,07916)^2+(7,10-7,07916)^2+(7,12-
7,07916)^2+(7,16-7,07916)^2+(7,25-7,07916)^2+(7,32-
7,07916)^2+(7,34-7,07916)^2+(7,43-7,07916)^2+(7,45-
7,07916)^2+(7,54-7,07916)^2+(8,12-7,07916)^2+(8,13-
7,07916)^2+(8,21-7,07916)^2+(8,32-7,07916)^2+(8,42-7,07916)^2=
16,9698409344 =07070767056
24 ORDENADOS:
5,42-5,56-5,90-6,12-6,18-6,22-
6,44-6,76-6,84-6,87-7,10-7,12-
7,16-7,25-7,32-7,34-7,43-7,45-
7,54-8,12-8,13-8,21-8,32-8,42

16. THANKS!