Categoria per defecte en Matemàtiques Aplicades a les ciències socials/U8 - Estadística/Estadístics fórmules Recorda les fórmules dels paràmetres estadístics més importants:

$$\bar{x}=\frac{\sum x_i}{n}$$

$$D.M.=\frac{\sum |x_i-\bar{x}|}{n}$$

$$Var(x)=\frac{\sum {x_i}^2}{n}-(\bar{x})^2=\bar{x^2}-(\bar{x})^2$$

$$\sigma=\sqrt{Var(x)}$$

$$R=x_{major}-x_{menor}$$

]]> 0 0 0 0 mitjana1 Donats els nombres {x1}, {x2}, {x3}, {x4}, {x5}, {x6}, {x7}, {x8}, {x9}, {x10}, {x11}, {x12}

Calcula la seva mitjana $$\bar{x}$$

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]]> 1 0.1 0 0 ({x1}+{x2}+{x3}+{x4}+{x5}+{x6}+{x7}+{x8}+{x9}+{x10}+{x11}+{x12})/12 0.01 1 1 2 Molt bé!!]]> shared x1 calculated uniform 0 20 0 10 1 7 2 19 3 7 4 15 5 17 6 0 7 15 8 14 9 9 10 10 10 shared x2 calculated uniform 0 20 0 10 1 2 2 2 3 16 4 13 5 7 6 16 7 9 8 14 9 7 10 11 10 shared x3 calculated uniform 0 20 0 10 1 16 2 1 3 17 4 18 5 4 6 12 7 9 8 16 9 11 10 13 10 shared x4 calculated uniform 0 20 0 10 1 19 2 3 3 10 4 15 5 1 6 10 7 10 8 2 9 4 10 7 10 shared x5 calculated uniform 0 20 0 10 1 17 2 15 3 1 4 17 5 10 6 11 7 18 8 2 9 5 10 11 10 shared x6 calculated uniform 0 20 0 10 1 9 2 8 3 16 4 2 5 4 6 19 7 19 8 13 9 3 10 8 10 shared x7 calculated uniform 0 20 0 10 1 12 2 13 3 16 4 6 5 6 6 2 7 16 8 13 9 7 10 12 10 shared x8 calculated uniform 0 20 0 10 1 18 2 8 3 12 4 18 5 20 6 12 7 16 8 17 9 0 10 5 10 shared x9 calculated uniform 0 20 0 10 1 3 2 5 3 4 4 9 5 1 6 12 7 5 8 20 9 16 10 4 10 shared x10 calculated uniform 0 20 0 10 1 4 2 7 3 20 4 6 5 6 6 19 7 7 8 8 9 8 10 17 10 shared x11 calculated uniform 0 20 0 10 1 7 2 13 3 9 4 11 5 6 6 13 7 7 8 7 9 19 10 13 10 shared x12 calculated uniform 0 20 0 10 1 12 2 7 3 13 4 8 5 4 6 8 7 11 8 16 9 16 10 11 10 mitjana2 Donats els nombres {x1}, {x2}, {x3}, {x4}, {x5}, {x6}, {x7}, {x8}, {x9}, {x10}, {x11}, {x12}

Calcula la seva mitjana $$\bar{x}$$

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]]> 1 0.1 0 0 ({x1}+{x2}+{x3}+{x4}+{x5}+{x6}+{x7}+{x8}+{x9}+{x10}+{x11}+{x12})/12 0.01 1 1 2 Molt bé!!]]> shared x1 calculated uniform 0 20 0 10 1 7 2 19 3 7 4 15 5 17 6 0 7 15 8 14 9 9 10 10 10 shared x2 calculated uniform 0 20 0 10 1 2 2 2 3 16 4 13 5 7 6 16 7 9 8 14 9 7 10 11 10 shared x3 calculated uniform 0 20 0 10 1 16 2 1 3 17 4 18 5 4 6 12 7 9 8 16 9 11 10 13 10 shared x4 calculated uniform 0 20 0 10 1 19 2 3 3 10 4 15 5 1 6 10 7 10 8 2 9 4 10 7 10 shared x5 calculated uniform 0 20 0 10 1 17 2 15 3 1 4 17 5 10 6 11 7 18 8 2 9 5 10 11 10 shared x6 calculated uniform 0 20 0 10 1 9 2 8 3 16 4 2 5 4 6 19 7 19 8 13 9 3 10 8 10 shared x7 calculated uniform 0 20 0 10 1 12 2 13 3 16 4 6 5 6 6 2 7 16 8 13 9 7 10 12 10 shared x8 calculated uniform 0 20 0 10 1 18 2 8 3 12 4 18 5 20 6 12 7 16 8 17 9 0 10 5 10 shared x9 calculated uniform 0 20 0 10 1 3 2 5 3 4 4 9 5 1 6 12 7 5 8 20 9 16 10 4 10 shared x10 calculated uniform 0 20 0 10 1 4 2 7 3 20 4 6 5 6 6 19 7 7 8 8 9 8 10 17 10 shared x11 calculated uniform 0 20 0 10 1 7 2 13 3 9 4 11 5 6 6 13 7 7 8 7 9 19 10 13 10 shared x12 calculated uniform 0 20 0 10 1 12 2 7 3 13 4 8 5 4 6 8 7 11 8 16 9 16 10 11 10 mitjana3 Donats els nombres {x1}, {x2}, {x3}, {x4}, {x5}, {x6}, {x7}, {x8}, {x9}, {x10}, {x11}, {x12}

Calcula la seva mitjana $$\bar{x}$$

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]]> 1 0.1 0 0 ({x1}+{x2}+{x3}+{x4}+{x5}+{x6}+{x7}+{x8}+{x9}+{x10}+{x11}+{x12})/12 0.01 1 1 2 Molt bé!!]]> shared x1 calculated uniform 0 20 0 10 1 7 2 19 3 7 4 15 5 17 6 0 7 15 8 14 9 9 10 10 10 shared x2 calculated uniform 0 20 0 10 1 2 2 2 3 16 4 13 5 7 6 16 7 9 8 14 9 7 10 11 10 shared x3 calculated uniform 0 20 0 10 1 16 2 1 3 17 4 18 5 4 6 12 7 9 8 16 9 11 10 13 10 shared x4 calculated uniform 0 20 0 10 1 19 2 3 3 10 4 15 5 1 6 10 7 10 8 2 9 4 10 7 10 shared x5 calculated uniform 0 20 0 10 1 17 2 15 3 1 4 17 5 10 6 11 7 18 8 2 9 5 10 11 10 shared x6 calculated uniform 0 20 0 10 1 9 2 8 3 16 4 2 5 4 6 19 7 19 8 13 9 3 10 8 10 shared x7 calculated uniform 0 20 0 10 1 12 2 13 3 16 4 6 5 6 6 2 7 16 8 13 9 7 10 12 10 shared x8 calculated uniform 0 20 0 10 1 18 2 8 3 12 4 18 5 20 6 12 7 16 8 17 9 0 10 5 10 shared x9 calculated uniform 0 20 0 10 1 3 2 5 3 4 4 9 5 1 6 12 7 5 8 20 9 16 10 4 10 shared x10 calculated uniform 0 20 0 10 1 4 2 7 3 20 4 6 5 6 6 19 7 7 8 8 9 8 10 17 10 shared x11 calculated uniform 0 20 0 10 1 7 2 13 3 9 4 11 5 6 6 13 7 7 8 7 9 19 10 13 10 shared x12 calculated uniform 0 20 0 10 1 12 2 7 3 13 4 8 5 4 6 8 7 11 8 16 9 16 10 11 10 parametres1 En un lloc es recull la temperatura en ºC durant 15 dies i s'obtenen les dades següents:

13, 15, 12, 17, 18, 10, 19, 16, 17, 18, 18, 18

Completa la taula següent: (Arrodoneix a 2 decimals)

Mesures de centralització		Mesures de dispersió
Mitjana	$$\bar{x}$$ = {1:NUMERICAL:=15.91:0.1#Molt bé!}	Desviació mitjana	D.M. = {1:NUMERICAL:=2.27:0.1#Molt bé!}
Mediana	Me = {1:NUMERICAL:=17:0.1#Molt bé!}	Variància	Var = {1:NUMERICAL:=8.08:0.1#Molt bé!}
Moda	Mo = {1:NUMERICAL:=18:0.1#Molt bé!}	Desviació típica	$$\sigma$$ = {1:NUMERICAL:=2.84:0.1#Molt bé!}
		Recorregut	R = {1:NUMERICAL:=5:0.1#Molt bé!}

]]> 0 parametres2 Les edats de les mares que han tingut un fill a l'Hospital trueta de Girona al llarg d'un mes són les que apareixen a continuació:

34, 26, 30, 25, 42, 25, 28, 28, 35, 27, 33, 24, 35, 29, 29, 27, 21, 34, 32, 29, 33, 25, 39, 27, 28, 37, 26, 34, 28, 31, 33, 20, 41

Completa la taula següent: (Arrodoneix a 2 decimals)

Mesures de centralització		Mesures de dispersió
Mitjana	$$\bar{x}$$ = {1:NUMERICAL:=30.15:0.1#Molt bé!}	Desviació mitjana	D.M. = {1:NUMERICAL:=4.3:0.1#Molt bé!}
Mediana	Me = {1:NUMERICAL:=29:0.1#Molt bé!}	Variància	Var = {1:NUMERICAL:=27.95:0.1#Molt bé!}
Moda	Mo = {1:NUMERICAL:=28:0.1#Molt bé!}	Desviació típica	$$\sigma$$ = {1:NUMERICAL:=5.29:0.1#Molt bé!}
		Recorregut	R = {1:NUMERICAL:=22:0.1#Molt bé!}

]]> 0 variancia1 Donats els valors {x1}, {x2}, {x3}, {x4}, {x5}, {x6}, {x7}, {x8}, {x9}, {x10}.

Calcula la variància.

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]]> 1 0.1 0 0 ((pow({x1},2)+pow({x2},2)+pow({x3},2)+pow({x4},2)+pow({x5},2)+pow({x6},2)+pow({x7},2)+pow({x8},2)+pow({x9},2)+pow({x10},2))/10)-(pow((({x1}+{x2}+{x3}+{x4}+{x5}+{x6}+{x7}+{x8}+{x9}+{x10})/10),2)) 0.01 1 1 2 shared x1 calculated uniform 0 20 0 10 1 7 2 19 3 7 4 15 5 17 6 0 7 15 8 14 9 9 10 10 10 shared x2 calculated uniform 0 20 0 10 1 2 2 2 3 16 4 13 5 7 6 16 7 9 8 14 9 7 10 11 10 shared x3 calculated uniform 0 20 0 10 1 16 2 1 3 17 4 18 5 4 6 12 7 9 8 16 9 11 10 13 10 shared x4 calculated uniform 0 20 0 10 1 19 2 3 3 10 4 15 5 1 6 10 7 10 8 2 9 4 10 7 10 shared x5 calculated uniform 0 20 0 10 1 17 2 15 3 1 4 17 5 10 6 11 7 18 8 2 9 5 10 11 10 shared x6 calculated uniform 0 20 0 10 1 9 2 8 3 16 4 2 5 4 6 19 7 19 8 13 9 3 10 8 10 shared x7 calculated uniform 0 20 0 10 1 12 2 13 3 16 4 6 5 6 6 2 7 16 8 13 9 7 10 12 10 shared x8 calculated uniform 0 20 0 10 1 18 2 8 3 12 4 18 5 20 6 12 7 16 8 17 9 0 10 5 10 shared x9 calculated uniform 0 20 0 10 1 3 2 5 3 4 4 9 5 1 6 12 7 5 8 20 9 16 10 4 10 shared x10 calculated uniform 0 20 0 10 1 4 2 7 3 20 4 6 5 6 6 19 7 7 8 8 9 8 10 17 10 variancia2 Donats els valors {x1}, {x2}, {x3}, {x4}, {x5}, {x6}, {x7}, {x8}, {x9}, {x10}.

Calcula la variància.

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]]> 1 0.1 0 0 ((pow({x1},2)+pow({x2},2)+pow({x3},2)+pow({x4},2)+pow({x5},2)+pow({x6},2)+pow({x7},2)+pow({x8},2)+pow({x9},2)+pow({x10},2))/10)-(pow((({x1}+{x2}+{x3}+{x4}+{x5}+{x6}+{x7}+{x8}+{x9}+{x10})/10),2)) 0.01 1 1 2 shared x1 calculated uniform 0 20 0 10 1 7 2 19 3 7 4 15 5 17 6 0 7 15 8 14 9 9 10 10 10 shared x2 calculated uniform 0 20 0 10 1 2 2 2 3 16 4 13 5 7 6 16 7 9 8 14 9 7 10 11 10 shared x3 calculated uniform 0 20 0 10 1 16 2 1 3 17 4 18 5 4 6 12 7 9 8 16 9 11 10 13 10 shared x4 calculated uniform 0 20 0 10 1 19 2 3 3 10 4 15 5 1 6 10 7 10 8 2 9 4 10 7 10 shared x5 calculated uniform 0 20 0 10 1 17 2 15 3 1 4 17 5 10 6 11 7 18 8 2 9 5 10 11 10 shared x6 calculated uniform 0 20 0 10 1 9 2 8 3 16 4 2 5 4 6 19 7 19 8 13 9 3 10 8 10 shared x7 calculated uniform 0 20 0 10 1 12 2 13 3 16 4 6 5 6 6 2 7 16 8 13 9 7 10 12 10 shared x8 calculated uniform 0 20 0 10 1 18 2 8 3 12 4 18 5 20 6 12 7 16 8 17 9 0 10 5 10 shared x9 calculated uniform 0 20 0 10 1 3 2 5 3 4 4 9 5 1 6 12 7 5 8 20 9 16 10 4 10 shared x10 calculated uniform 0 20 0 10 1 4 2 7 3 20 4 6 5 6 6 19 7 7 8 8 9 8 10 17 10 variancia3 Donats els valors {x1}, {x2}, {x3}, {x4}, {x5}, {x6}, {x7}, {x8}, {x9}, {x10}.

Calcula la variància.

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