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INTEGRANTES:
- Nahil Querebalú
- Gian Casas
- Juan Barrientos
- Maria F Yaricahua
PROFESOR :
- Roberto Vite
CURSO :
ARITMÉTICA
4TO ¨B¨
5,25
5,75
6,25
6,75
7,25
7,75
8,25
8,5 - 5 = Rango
3,5 = Rango
Media = 169,5 = 7,06
24
______
3,28+1,72+0,66+0,09+0,04+0,48+1,42 = 7,69
24 24
__________________________________ ____
7.69 = 0,32
24
_____
√0,32 = 0,57 0,57 * 100 =8,07
7,06
_____
Rango = 94-55
Rango= 39
174.24+ 27.04 + 7.84 + 116.64 + 353.44
MEDIA : 2868 = 71.7
40
40
=16.98Variación =
Desviación
estándar =
16.98 = 4.12
Coeficiente de
variación =
4.12 x 100 = 5.75%
71.7
MEDIA :
88 + 77 + 49 + 38 + 100+ 95+
60+75+100+80+63+69+50+90+82+65+75+100+95
+50+80+70+60+100+75+80+100+90+85+75 =
2316
X = ____ = 77.2
30
RANGO:
Max - Min = 100 - 32 = 68
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+ (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
R2= 8609.56
30
=286.98
DESVIACIÓN ESTÁNDAR
286.98
R2=
R =
286.98
R= 16.94
COEFICIENTE VARIACIÓN
Cv= 286.98
77.2
X 100 = 371.73
RANGO
R = 8.42 - 5.42
R = 3
MEDIA(PROMEDIO)
5.42+6.22+8.42+7.54+6.44+6.76+5.90+6.18+7.16+
6.80+7.32+8.12+6.84+7.12+8.21+8.13+7.25+7.34+
5.56+8.32+7.45+7.43+6.87+7.10= 169.9
169.9
-------- = 7.079
24
DESVIACIÓN ESTÁNDAR COEFICIENTE VARIACIÓN
R² = 0.67
R = 0.67
R = 0.81
0.81
Cv = ---------- x 100 = 11.44%
7.079
VARIANZA(MEDIA)
(5.42-7.079)²+(6.22-7.079)²+(8.42-7.079)²+(7.54-7.079)²+(6.44-7.079)²+(6.76-7.079)²+(5.90-7.079)²+(6.18-
7.079)²+(7.16-7.079)²+(6.80-7.079)²+(7.32-7.079)²+(8.12-7.079)²+(6.84-7.079)²+(7.12-7.079)²+(8.21-7.079)²+(8.13-
7.079)²+(7.25-7.079)²+(7.34-7.079)²+(5.56-7.079)²+(8.32-7.079)²+(7.45-7.079)²+(7.43-7.079)²+(6.87-7.079)²+(7.10-
7.079)²
24
R² =
16.28
---------
24
R² = 0.67

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MEDIDAS DE DISPERSIÓN

  • 1.
  • 2.
  • 3.
  • 4.
  • 5.
  • 6.
  • 7. INTEGRANTES: - Nahil Querebalú - Gian Casas - Juan Barrientos - Maria F Yaricahua PROFESOR : - Roberto Vite CURSO : ARITMÉTICA 4TO ¨B¨
  • 8. 5,25 5,75 6,25 6,75 7,25 7,75 8,25 8,5 - 5 = Rango 3,5 = Rango Media = 169,5 = 7,06 24 ______ 3,28+1,72+0,66+0,09+0,04+0,48+1,42 = 7,69 24 24 __________________________________ ____ 7.69 = 0,32 24 _____ √0,32 = 0,57 0,57 * 100 =8,07 7,06 _____
  • 9. Rango = 94-55 Rango= 39 174.24+ 27.04 + 7.84 + 116.64 + 353.44 MEDIA : 2868 = 71.7 40 40 =16.98Variación = Desviación estándar = 16.98 = 4.12 Coeficiente de variación = 4.12 x 100 = 5.75% 71.7
  • 10. MEDIA : 88 + 77 + 49 + 38 + 100+ 95+ 60+75+100+80+63+69+50+90+82+65+75+100+95 +50+80+70+60+100+75+80+100+90+85+75 = 2316 X = ____ = 77.2 30 RANGO: Max - Min = 100 - 32 = 68 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+ (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 R2= 8609.56 30 =286.98
  • 11. DESVIACIÓN ESTÁNDAR 286.98 R2= R = 286.98 R= 16.94 COEFICIENTE VARIACIÓN Cv= 286.98 77.2 X 100 = 371.73
  • 12. RANGO R = 8.42 - 5.42 R = 3 MEDIA(PROMEDIO) 5.42+6.22+8.42+7.54+6.44+6.76+5.90+6.18+7.16+ 6.80+7.32+8.12+6.84+7.12+8.21+8.13+7.25+7.34+ 5.56+8.32+7.45+7.43+6.87+7.10= 169.9 169.9 -------- = 7.079 24
  • 13. DESVIACIÓN ESTÁNDAR COEFICIENTE VARIACIÓN R² = 0.67 R = 0.67 R = 0.81 0.81 Cv = ---------- x 100 = 11.44% 7.079 VARIANZA(MEDIA) (5.42-7.079)²+(6.22-7.079)²+(8.42-7.079)²+(7.54-7.079)²+(6.44-7.079)²+(6.76-7.079)²+(5.90-7.079)²+(6.18- 7.079)²+(7.16-7.079)²+(6.80-7.079)²+(7.32-7.079)²+(8.12-7.079)²+(6.84-7.079)²+(7.12-7.079)²+(8.21-7.079)²+(8.13- 7.079)²+(7.25-7.079)²+(7.34-7.079)²+(5.56-7.079)²+(8.32-7.079)²+(7.45-7.079)²+(7.43-7.079)²+(6.87-7.079)²+(7.10- 7.079)² 24 R² = 16.28 --------- 24 R² = 0.67