trabajo encargadoo demetrioo.xlsx

8/17/2019 trabajo encargadoo demetrioo.xlsx

1/15


2/15

PREGUNTA N° 01

n = 20

5 3 4 4 1 2 4 4

4 4 3 5 4 3 2 3

Xi ni Ni f Fi

1 1 1 5% 5%

2 2 3 10% 15%

3 5 8 25% 40%

4 8 16 40% 80%

5 4 20 20% 100%

PREGUNTA N° 02

n = 20

2 2 1 2 3 4 3 2

4 3 3 1 2 3 2 3

Xi ni Ni f Fi

1 2 2 10% 10%2 7 9 35% 45%

3 8 17 40% 85%

4 3 20 15% 100%

0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.0

2

4

6

8

10

1

2

5

8

4

ni

10

ni


3/15

PREGUNTA N° 03

n = 20

3 3 2 1 3 6 1 0

7 3 2 3 4 3 5 3

Xi ni Ni f Fi

1 2 2 10% 10%

2 4 6 20% 30%

3 7 13 35% 65%

4 1 14 5% 70%

5 1 15 5% 75%

6 3 18 15% 90%

7 1 19 5% 95%

PREGUNTA N° 04

n = 20

2 3 5 3 6 1 5 4

5 3 6 2 1 5 4 4

0.5 1 1.5 2 2.5 3 3.5 40

2

4

6

8


4/15

Xi ni Ni f Fi

1 4 4 20% 20%

2 3 7 15% 35%

3 4 11 20% 55%

4 3 14 15% 70%

5 4 18 20% 90%

6 2 20 10% 100%

PREGUNTA N° 05

n = 20

20 10 40 5 30 40 20 1025 30 10 30 40 20 10 5

Xi ni Ni f Fi

5 2 2 10% 10%

10 4 6 20% 30%

15 1 7 5% 35%

20 4 11 20% 55%

25 2 13 10% 65%

30 4 17 20% 85%40 3 20 15% 100%

0 1 2 3 4 5 60

1

2

3

4

5

1; 4

2; 3

3; 4

4; 3

5; 4

6; 2

ni

3

4

5

2; 4

4; 4

6; 4

7; 3

ni


5/15

PREGUNTA N° 06

n = 30

3 25 30 5 7 18 25 23

28 17 15 12 8 4 9 37

36 28 28 15 18 20 19 27

Xi ni Ni f Fi

0 4 2 2 7% 7%5 9 4 6 13% 20%

10 14 1 7 3% 23%

15 19 6 13 20% 43%

20 24 2 15 7% 50%

25 29 7 22 23% 73%

30 34 2 24 7% 80%

35 39 3 27 10% 90%

40 44 3 30 10% 100%

PREGUNTA N° 07

n = 30

3 25 30 5 7 18 25 23

28 17 15 12 8 4 9 37

36 28 28 15 18 20 19 27

Xi ni Ni f Fi

0 4 2 2 7% 7%

5 9 4 6 13% 20%

10 14 1 7 3% 23%

15 19 6 13 20% 43%

20 24 2 15 7% 50%

25 29 7 22 23% 73%

30 34 2 24 7% 80%

0 5 10 15 20 25 30 35 40 40

1

2 1; 2

3; 1

5; 2


6/15

35 39 3 27 10% 90%

40 44 3 30 10% 100%

PREGUNTA N° 08

n = 28

15 10 16 12 10 5 1 715 20 2 3 4 10 8 5

10 8 5 10 16 16 10 2

Xi ni Ni f Fi

0 2 3 3 11% 11%

3 5 6 9 21% 32%6 8 4 13 14% 46%

9 11 7 20 25% 71%

12 14 2 22 7% 79%

15 17 5 27 18% 96%18 20 1 28 4% 100%

PREGUNTA N° 09

10 9 8 8.5 9 12 13 9.5 108.3 8.1 9.2 9.4 10 10.1 9.2 8.1 8.2

8 8.3 9.3 14 14.5 10 9 8.5 12


7/15

PREGUNTA N° 11

halla la !"#ia $ la #"&ia'i(n )i*i'a '("*(n#i"n)" a la i+,i"n)" #")

in)"&al( 05 5 / 10 10 / 15 15 / 20 20 /25 25 /30

"',"n'ia 3 9 12 9 15 2

Xi ni Ni ! ' Xini f Fi

0 5 3 3 2.5 7.5 6%

5 10 9 12 7.5 67.5 24%

10 15 12 24 12.5 150 48%

15 20 9 33 17.5 157.5 66%

20 25 15 48 22.5 337.5 96%

25 30 2 50 27.5 55 100%

775

N= 50

PREGUNTA N° 12

)i"!*( 05 5 / 10 10 / 15 15 / 20 20 /25

N #" al,!n( 20 13 18 5 4


8/15

Xi ni Ni ! ' Xini f

0 5 20 20 2.5 50 33%

5 10 13 33 7.5 97.5 55%

10 15 18 51 12.5 225 85%

15 20 5 56 17.5 87.5 93%

20 25 4 60 22.5 90 100%

N=60

PREGUNTA N° 13

",l)a#( 1 2 3 4 5 6

N#" &"'" 12 20 10 15 20 23

ni Ni ! ' Xini f

0 5 20 20 2.5 50 33%

5 10 13 33 0 55%

10 15 18 51 12.5 225 85%

15 20 5 56 17.5 87.5 93%

20 25 4 60 22.5 90 100%


9/15

5 3

2 3

4 3

2 3


10/15

2 6

2 6

2 3

1 1

4.5


11/15

15 2025 30

7


12/15

35 43

32 41

25 40

35 43

32 41

25 40

5


13/15

10 123 9

3 10

"!*)$

88.18.1


14/15

i-,'i(n #" "#a#"

X= 15.5

!"#iana N2=25

= 9.88888889

l( !"n(" #" 15 an( " #" 48%


15/15

"#ia=n2=30

!= 6.53846154

" "l #" 45 %

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trabajo encargadoo demetrioo.xlsx