TRABAJO ENCARGADO

Alumno: John rufo Martínez Vargas

Compra de juguetes para los niños por fiestas navideñas en la ciudad de juliaca

1 1 2 2 2 2 2 2 2 3 3 3 33 3 4 4 4 4 5 5 5 5 5 56 6 7 7 7 7 8 8

1.- HALLANDO MEDIA ARITMETICA

a.- hallando la media aritmética para datos no agrupados

X =1+1+2+2+2+2+2+2+2+3+3+3+3+3+3+4+4+4+4+5+5+5+5+5+5+6+6+7+7+7+7+8+8

33

X¿13633

X¿4.1212

b.- hallando la media aritmética para datos agrupados

CUADRO #1

Compra juguetes Fi Xi

hi

Xi x Fi hi x Xi

[1-2> 2 1.5 3 0.06060606 0.09090909

[2-3> 7 2.5 17.5 0.21212121 0.53030303

[3-4> 6 3.5 21 0.18181818 0.63636364

[4-5> 4 4.5 18 0.12121212 0.54545455

[5-6] 6 5.5 33 0.18181818 1

[6-7> 2 6.5 13 0.06060606 0.39393939

[7-8> 4 7.5 30 0.12121212 0.90909091

[8-9] 2 8.5 17 0.06060606 0.51515152

TOTAL 33 152.5 3.59090909

X =152.533

X= 4.62

2.-HALLANDO LA MEDIANA

Si n es impar, x =n+12

Cuadro # 2

Compra juguetes Fi FI

[1-2> 2 2

[2-3> 7 9

[3-4> 6 15

[4-5> ------ 4 --- 19

[5-6] 6 25

[6-7> 2 27

[7-8> 4 31

[8-9] 2 33

TOTAL 33

Me = li+

n2−fm−1

fm

Me = 4+

332

−15

4

Me = 4+ 16.5−154

Me = 4+0.375

Me = 4.375

3.-HALLANDO LA MODA

Cuadro # 3

Compra juguetes Fi

[1-2> 2

[2-3> 7

[3-4> 6 fm - 1

mo [4-5> 4 fm

[5-6] 6 fm + 1

[6-7> 2

[7-8> 4

[8-9] 2

TOTAL 33

mo=li+∆1

∆1+∆2Am

mo=4+22+2

(1)

mo= 4.5

4.- MEDIA GEOMETRICA

Cuadro # 4

Compra juguetes Fi Xi

[1-2> 2 1.5[2-3> 7 2.5[3-4> 6 3.5[4-5> 4 4.5[5-6] 6 5.5[6-7> 2 6.5[7-8> 4 7.5[8-9] 2 8.5

TOTAL 33

G = 33√(1.5)2∗(2.5 )2∗(3.5 )2∗(4.5 )2∗(5.5 )2∗(6.5)2∗(7.5)2∗(8.5)2

G = 1.180

5.- MEDIA ARMONICA

Cuadro # 5

Compra juguetes Fi Xi

[1-2> 2 1.5[2-3> 7 2.5[3-4> 6 3.5[4-5> 4 4.5

[5-6] 6 5.5[6-7> 2 6.5[7-8> 4 7.5[8-9] 2 8.5

TOTAL 33

H = 33

21.5

+ 72.5

+ 63.5

+ 44.5

+ 65.5

+ 26.5

+ 47.5

+ 28.5

H = 280.5

6.- MEDIA CUADRATICA

Cuadro # 6

Compra juguetes Fi Xi

[1-2> 2 1.5[2-3> 7 2.5[3-4> 6 3.5[4-5> 4 4.5[5-6] 6 5.5[6-7> 2 6.5[7-8> 4 7.5[8-9] 2 8.5

TOTAL 33

C = √ (2∗1.5)2+(7∗2.5 )2+(6∗3.5 )2+ (4∗4.5 )2+(6∗5.5)2+(2∗6.5)2+(4∗7.5)2+(2∗8.5)2

33

C =

7.-CUARTILES (Q.) Q1

1 1 2 2 2 2 2 2 2 3 3 3 33 3 4 4 4 4 5 5 5 5 5 56 6 7 7 7 7 8 8

Q2Q3

N = 33

Q1=n+1

4=33+1

4=344

=8.5

Q1=2

Q2= 2(33+1)

4=2 (34)4

=684

=17

Q2=¿ 4

M 2=¿¿ 4

Q3= 3(33+1)

4=3 (34 )4

= 1024

=25.5

Q3=¿¿ 6

Q1=2

Q1=2 Q3=¿¿ 6

M 2=¿¿ 4

8.-VARIANZA

Cuadro # 7

Compra juguetes Fi Xi Fi (xi * x )

Xi x Fi

[1-2> 2 1.5 3 2(

[2-3> 7 2.5 17.5 7

[3-4> 6 3.5 21 6

[4-5> 4 4.5 18 4

[5-6] 6 5.5 33 6

[6-7> 2 6.5 13 2

[7-8> 4 7.5 30 4

[8-9] 2 8.5 17 2

TOTAL 33 152.5

X = 152.533 = 4.621

9.- REGRESION

X Y XY X2

1 2 2 12 7 14 43 6 18 9

4 4 16 165 6 30 256 2 12 367 4 28 498 2 16 64

∑ X=36 ∑Y=33 ∑ XY=136 ∑ X2=204

∑Y=¿∑ a+b∑ x¿

∑Yx=a∑ x+b∑ x2

33 = 8a + 36b

136 = 36a + 204b

- 36 8a + 36b = 33

8 36a + 204b = 136

- 288 a - 1296b = - 1188

288a + 1632b = 1088

336b = 100

b = 100336

b = 0.297

Hallando el valor de a

33 = 8a + 36b

33 = 8a + 36 (0.297)

33 = 8a + 10.692

33 - 10.692 = 8ª

22.308 = 8ª

22.3088 = a

2.7885 =a