Este documento contiene un examen de matemáticas para estudiantes de segundo grado de primaria en España. Consiste en secciones de numeración, operaciones, problemas, geometría, medidas, y estadística, con ejercicios para practicar diferentes conceptos y habilidades matemáticas.
1 r batx unitat 3 trigono 2a part november 22 2012Toni Mendez
The document lists 16 entries documenting edits made to a trigonometry document for a class between October 2012 and November 2012, with timestamps showing the edits were made on various dates by different users.
1 r batx unitat 3 trigono 1a part october 22 2012Toni Mendez
The document is a log of activity on a trigonometry document called "1R BATX UNITAT 3 Trigono 1a part October 22 2012.gwb". The log shows the document was accessed on 15 separate occasions between October 22nd and November 6th, with various times and dates of access provided.
1 r batx unitat 2 polinomis 2a part october 01 2012Toni Mendez
The document is a 12-page lesson on polynomials from October 1, 2012. It discusses polynomials over 11 pages and is the second part of a unit on polynomials from a 1R BATX class. The lesson covers polynomials through page 11 and is dated Fri Oct 19 2012.
1 r batx unitat 2 polinomis 1a part october 01 2012Toni Mendez
The document appears to be a 25 page lesson on polynomials from a 1R BATX UNITAT 2 class from October 1, 2012. It covers polynomials in the first part and progresses through pages 1 through 25, discussing key concepts and examples related to polynomials over the multiple pages.
The document lists 19 entries with timestamps from September 24, 2012 to October 1, 2012 tracking edits or versions of a document titled "Batx Unitat 1. September 24 2012.gwb". The timestamps indicate the document was worked on over multiple days with most edits taking place from September 24-28, 2012.
Este documento contiene un examen de matemáticas para estudiantes de segundo grado de primaria en España. Consiste en secciones de numeración, operaciones, problemas, geometría, medidas, y estadística, con ejercicios para practicar diferentes conceptos y habilidades matemáticas.
1 r batx unitat 3 trigono 2a part november 22 2012Toni Mendez
The document lists 16 entries documenting edits made to a trigonometry document for a class between October 2012 and November 2012, with timestamps showing the edits were made on various dates by different users.
1 r batx unitat 3 trigono 1a part october 22 2012Toni Mendez
The document is a log of activity on a trigonometry document called "1R BATX UNITAT 3 Trigono 1a part October 22 2012.gwb". The log shows the document was accessed on 15 separate occasions between October 22nd and November 6th, with various times and dates of access provided.
1 r batx unitat 2 polinomis 2a part october 01 2012Toni Mendez
The document is a 12-page lesson on polynomials from October 1, 2012. It discusses polynomials over 11 pages and is the second part of a unit on polynomials from a 1R BATX class. The lesson covers polynomials through page 11 and is dated Fri Oct 19 2012.
1 r batx unitat 2 polinomis 1a part october 01 2012Toni Mendez
The document appears to be a 25 page lesson on polynomials from a 1R BATX UNITAT 2 class from October 1, 2012. It covers polynomials in the first part and progresses through pages 1 through 25, discussing key concepts and examples related to polynomials over the multiple pages.
The document lists 19 entries with timestamps from September 24, 2012 to October 1, 2012 tracking edits or versions of a document titled "Batx Unitat 1. September 24 2012.gwb". The timestamps indicate the document was worked on over multiple days with most edits taking place from September 24-28, 2012.
4t b i c unitat 3 polinomis. part 2. octubre 2012Toni Mendez
El documento trata sobre la segunda parte de la unidad 3 sobre polinomios. Contiene 20 páginas de notas sobre el tema, con fechas que van desde octubre hasta noviembre de 2012.
4t b i c unitat 2 radicals september 21 2012Toni Mendez
The document lists timestamps for edits made to a file called "4t B i C unitat 2 September 21 2012.gwb" between October 1-9, 2012. There are 28 timestamps listed in chronological order showing when the file was accessed and edited over that period.
4t b i c unitat 2. potencies. september 21 2012Toni Mendez
The document appears to be a log or record of edits made to a file called "4t B i C unitat 2 September 21 2012.gwb" on various dates between September 21, 2012 and October 1, 2012. Entries in the log provide information about the date and time of edits made to the file.
This document appears to be a log of 5 entries made on September 21, 2012 between 9:47 AM and 9:50 AM. The entries are unlabeled and do not provide any context about their purpose or content.
3r c unitat 3. Polinomis. october. 2012Toni Mendez
The document appears to be notes from a class on polynomials from October 2012. It consists of 23 pages of notes taken on different dates in October and November 2012, covering polynomial topics like addition, subtraction and factorization of polynomials.
The document appears to be a log of edits made to a file called "3r C Unitat 2. September 25 2012.gwb" on various dates in September and October 2012, as it lists the page number and date/time for 20 separate entries spanning from October 2nd to October 11th 2012.
Pissarra digital. 3r c unitat 1. Nombres enters. 2012Toni Mendez
The document appears to be a log or record containing 12 entries documenting modifications or additions made to a file called "3r C Unitat 1. September 25 2012.gwb" on various dates between September 25, 2012 and October 2, 2012. Each entry includes the date and time of the change and the page number out of 12 total pages.
Curvas y tablas_de_crecimiento_fundacion_orbegozoToni Mendez
Este documento presenta curvas y tablas de crecimiento para niños y niñas basadas en estudios longitudinales y transversales realizados en Vizcaya, España. Incluye gráficas de longitud, peso, perímetro craneal, índice de masa corporal y velocidad de crecimiento para edades de 0 a 2 años y de 2 a 18 años, así como tablas con datos longitudinales y transversales. El objetivo es proporcionar herramientas para evaluar el crecimiento individual y compararlo con patrones de referencia.
4t b i c unitat 3 polinomis. part 2. octubre 2012Toni Mendez
El documento trata sobre la segunda parte de la unidad 3 sobre polinomios. Contiene 20 páginas de notas sobre el tema, con fechas que van desde octubre hasta noviembre de 2012.
4t b i c unitat 2 radicals september 21 2012Toni Mendez
The document lists timestamps for edits made to a file called "4t B i C unitat 2 September 21 2012.gwb" between October 1-9, 2012. There are 28 timestamps listed in chronological order showing when the file was accessed and edited over that period.
4t b i c unitat 2. potencies. september 21 2012Toni Mendez
The document appears to be a log or record of edits made to a file called "4t B i C unitat 2 September 21 2012.gwb" on various dates between September 21, 2012 and October 1, 2012. Entries in the log provide information about the date and time of edits made to the file.
This document appears to be a log of 5 entries made on September 21, 2012 between 9:47 AM and 9:50 AM. The entries are unlabeled and do not provide any context about their purpose or content.
3r c unitat 3. Polinomis. october. 2012Toni Mendez
The document appears to be notes from a class on polynomials from October 2012. It consists of 23 pages of notes taken on different dates in October and November 2012, covering polynomial topics like addition, subtraction and factorization of polynomials.
The document appears to be a log of edits made to a file called "3r C Unitat 2. September 25 2012.gwb" on various dates in September and October 2012, as it lists the page number and date/time for 20 separate entries spanning from October 2nd to October 11th 2012.
Pissarra digital. 3r c unitat 1. Nombres enters. 2012Toni Mendez
The document appears to be a log or record containing 12 entries documenting modifications or additions made to a file called "3r C Unitat 1. September 25 2012.gwb" on various dates between September 25, 2012 and October 2, 2012. Each entry includes the date and time of the change and the page number out of 12 total pages.
Curvas y tablas_de_crecimiento_fundacion_orbegozoToni Mendez
Este documento presenta curvas y tablas de crecimiento para niños y niñas basadas en estudios longitudinales y transversales realizados en Vizcaya, España. Incluye gráficas de longitud, peso, perímetro craneal, índice de masa corporal y velocidad de crecimiento para edades de 0 a 2 años y de 2 a 18 años, así como tablas con datos longitudinales y transversales. El objetivo es proporcionar herramientas para evaluar el crecimiento individual y compararlo con patrones de referencia.
Solucionari 4 ab 3r tr 2n p estadística 23 05 2012
1. IES LA LLAUNA PROVA D’ESTADÍSTICA
DEPARTAMENT DE MATEMÀTIQUES 3R TR 2N 4T D’ESO
NOM I COGNOMS: ________SOLUCIONARI_________________________ 23 DE MAIG DE 2012
1. El gràfic estadístic següent mostra l'altura dels arbres d'una plantació:
a) Quin tipus de gràfic estadístic és i quin tipus de variable es tracta? (0.25)
...........Un diagrama de barres amb una variable qualitativa contínua........................
b) Quants arbres fan més de 3,75 m?: (0.25)
............350+400=750 arbres...............................................................
c) Quina és l'altura més freqüent?: (0.25)
................Entre 3,25 i 3,75 metres.................................................................
d) Quants arbres té la plantació?: (0.25)
....................250+400+500+350+400= 1900 arbres........................................................
2. Representa les dades següents en un gràfic de sectors:
Nombre d’animals a la granja Ca N’Os.
Animals Xi Freq. Abs. ni Frq. Rel. fi graus
Vaques 1200 0.24 86.4º
Porcs 2300 0.46 165,6º
Ovelles 700 0.14 50.4º
Gallines 800 0.16 57.6º
Total 5000 1.00 360º
Distribució d'animals
16%
24%
Vaques
14% Porcs
Ovelles
Gallines
46%
2. IES LA LLAUNA PROVA D’ESTADÍSTICA
DEPARTAMENT DE MATEMÀTIQUES 3R TR 2N 4T D’ESO
NOM I COGNOMS: ________SOLUCIONARI_________________________ 23 DE MAIG DE 2012
4. El nombre de multes pagades per 130 conductors durant un any ve donat per la taula
següent: (1.5)
a) Quin tipus de variable estadística és? (0.20)
Variable cuantitativa discreta
b) Troba la mitjana, la moda i la mediana.
Mitjana=235/130=1.807 multes a l’any (0.25)
Mediana=Valor que ocupa les posicions 65 i 66 = 2 (0.25)
Moda= Valor de major freqüència= 0 (0.15)
Xi ni
Nº
Nº multes conductors Xi*ni Ni fi Fi
0 34 0 34 26,15% 26,15%
1 30 30 64 23,08% 49,23%
2 25 50 89 19,23% 68,46%
3 20 60 109 15,38% 83,85%
4 12 48 121 9,23% 93,08%
5 7 35 128 5,38% 98,46%
6 2 12 130 1,54% 100,00%
Total 130 235 100,00%
c) Quin % de conductors tene 5 accidents o més. (0.25)
(7+2)/130=0.0692=6.92% de conductors.
d) Troba P10, P90. (0.40)
P10= Valor que ocupa la posició corresponent al 10% més baix, és a dir O multes.
P90= Valor que ocupa la posició corresponent al 90% més baix, és a dir 4 multes.
3. IES LA LLAUNA PROVA D’ESTADÍSTICA
DEPARTAMENT DE MATEMÀTIQUES 3R TR 2N 4T D’ESO
NOM I COGNOMS: ________SOLUCIONARI_________________________ 23 DE MAIG DE 2012
5. a) Construeix un diagrama de caixa per a la sèrie de dades següent: (0.75)
1,1,2,3,3,3,4,4,5,6,7,7,8,8,9,10,13,15 i 17.
Separem els valors en 4 parts (4 quartils).
1,1,2,3, 3, 3, 4,4,5, 6, 7, 7,8,8, 9, 10, 13,15,17
Q1 Me Q3
Així, construim el diagrama de caixa amb els següents valors.
Xmín=1 Q1=3 Me=6 Q3=9 Xmàx=17
Fem el diagrama:
b) En un hotel s’hi allotgen 75 turistes alemanys, 110 d’anglesos i 140 de nord-
americans. Es vol fer una enquesta a 25 turistes. Quants se n’han d’escollir de
cada nacionalitat si volem que el mostratge sigui correcte. (0.75)
El mostratge ha de ser proporcional a l’estratificació de la població. Veiem com
està formada.
Mostra
ni fi % Mostra arrodonida
Alemanys 75 23,08% 5,77 6
Anglesos 110 33,85% 8,46 8
Nordamericans 140 43,08% 10,77 11
Total 325 25 25