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UPAYA PENINGKATAN PRESTASI BELAJAR SISWA MATA PELAJARAN PRAKTIK PEMESINAN dengan MODUL PROGRAM KEAHLIAN TEKNIK MESIN di SMK MUHAMMADIYAH 1 BANTUL.

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FREKUENSI RELATIF (%)

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(59)

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(60)

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70 58946 /85 :50 7

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>50 - ≤ 53 >53 - ≤ 57 >57 - ≤ 61 >61 - ≤ 65 >65 - ≤ 69 >69 - ≤ 73

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(111)

NO KELAS INTERVAL fi xi xi -x̄ ( xi - x̄ )2 fi ( xi - x̄ )2

1 >15 - ≤19 2 17 -12.47 155.5009 311.0018

2 >19 - ≤24 4 22 -7.47 55.8009 223.2036

3 >24 - ≤29 12 27 -2.47 6.1009 73.2108

4 >29 - ≤34 14 32 2.53 6.4009 89.6126

5 >34 - ≤39 2 37 7.53 56.7009 113.4018

6 >39 - ≤44 2 42 12.53 157.0009 314.0018

Σ fi ( xi - x̄ )2

1124.4324

S

∑ f x x

n 1

(112)

NO KELAS INTERVAL fi xi xi -x̄ ( xi - x̄ )2 fi ( xi - x̄ )2

1 >15 - ≤19 2 17 -12.44 154.7536 309.5072

2 >19 - ≤24 3 22 -7.44 55.3536 166.0608

3 >24 - ≤29 14 27 -2.44 5.9536 83.3504

4 >29 - ≤34 11 32 2.56 6.5536 72.0896

5 >34 - ≤39 5 37 7.56 57.1536 285.768

6 >39 - ≤44 1 42 12.56 157.7536 157.7536

Σ fi ( xi - x̄ )2

1074.5296

S

∑ f x x

n 1

S

1074,53

36 1

S 30,70

(113)

NO KELAS INTERVAL fi xi xi -x̄ ( xi - x̄ )2 fi ( xi - x̄ )2

1 >40 - ≤42 2 41 -7.28 52.9984 105.9968

2 >42 - ≤45 4 44 -4.28 18.3184 73.2736

3 >45 - ≤48 13 47 -1.28 1.6384 21.2992

4 >48 - ≤51 10 50 1.72 2.9584 29.584

5 >51 - ≤54 4 53 4.72 22.2784 89.1136

6 >54 - ≤57 3 56 7.72 59.5984 178.7952

Σ fi ( xi - x̄ )2

498.0624

S

∑ f x x

n 1

498.06 36 1

(114)

NO KELAS INTERVAL fi xi xi -x̄ ( xi - x̄ )2 fi ( xi - x̄ )2

1 >50 - ≤53 2 51.5 -9.89 97.8121 195.6242

2 >53 - ≤57 5 55.5 -5.89 34.6921 173.4605

3 >57 - ≤61 12 59.5 -1.89 3.5721 42.8652

4 >61 - ≤65 10 63.5 2.11 4.4521 44.521

5 >65 - ≤69 6 67.5 6.11 37.3321 223.9926

6 >69 - ≤73 1 71.5 10.11 102.2121 102.2121

Σ fi ( xi - x̄ )2

782.6756

S

∑ f x x

n 1

782.68 36 1

(115)

Me

∑ X

n

1061

36

29,47

Mo b p

b

b

b

Mo 29,5 5

2 12

2

Mo 29,5 0,714 30,21

Md b p

1

2 n F

f

Md 29,5 5

1

(116)

Me

∑ X

n

1060

36

29,44

Mo b p

b

b

b

Mo 24,5 5

11 3

11

Mo 24,5 3,93 28,43

Md b p

1

2 n F

f

Md 24,5 5

1

(117)

Me

∑ X

n

1738

36

48,28

Mo b p

b

b

b

Mo 45,5 3

9 3

9

Mo 45,5 2,25 47,75

Md b p

1

2 n F

f

Md 45,5 3

1

(118)

Me

∑ X

n

2210

36

61,39

Mo b p

b

b

b

Mo 57,5 4

7 2

7

Mo 57,5 3,11 60,61

Md b p

1

2 n F

f

Md 57,5 4

1

(119)

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13 452+

61,4"725 0"4 841+6 "452,60 (9)

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& :!= ; < & & > >=

: & ; < = !

(120)

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61,4"725 0"4 841+6 "452,60 (9)

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(121)

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(123)

PRETEST X X2 POSTTEST Y Y2 XY

26 -3.47 12.0409 47 -1.28 1.6384 4.4416

34 4.53 20.5209 49 0.72 0.5184 3.2616

26 -3.47 12.0409 45 -3.28 10.7584 11.3816

24 -5.47 29.9209 52 3.72 13.8384 -20.3484

34 4.53 20.5209 49 0.72 0.5184 3.2616

23 -6.47 41.8609 45 -3.28 10.7584 21.2216

32 2.53 6.4009 44 -4.28 18.3184 -10.8284

25 -4.47 19.9809 48 -0.28 0.0784 1.2516

33 3.53 12.4609 47 -1.28 1.6384 -4.5184

24 -5.47 29.9209 48 -0.28 0.0784 1.5316

33 3.53 12.4609 46 -2.28 5.1984 -8.0484

17 -12.47 155.5009 56 7.72 59.5984 -96.2684

33 3.53 12.4609 47 -1.28 1.6384 -4.5184

26 -3.47 12.0409 47 -1.28 1.6384 4.4416

32 2.53 6.4009 46 -2.28 5.1984 -5.7684

40 10.53 110.8809 46 -2.28 5.1984 -24.0084

34 4.53 20.5209 49 0.72 0.5184 3.2616

28 -1.47 2.1609 54 5.72 32.7184 -8.4084

25 -4.47 19.9809 49 0.72 0.5184 -3.2184

33 3.53 12.4609 55 6.72 45.1584 23.7216

33 3.53 12.4609 49 0.72 0.5184 2.5416

33 3.53 12.4609 55 6.72 45.1584 23.7216

42 12.53 157.0009 53 4.72 22.2784 59.1416

18 -11.47 131.5609 40 -8.28 68.5584 94.9716

25 -4.47 19.9809 47 -1.28 1.6384 5.7216

33 3.53 12.4609 49 0.72 0.5184 2.5416

26 -3.47 12.0409 47 -1.28 1.6384 4.4416

39 9.53 90.8209 45 -3.28 10.7584 -31.2584

39 9.53 90.8209 54 5.72 32.7184 54.5116

25 -4.47 19.9809 49 0.72 0.5184 -3.2184

25 -4.47 19.9809 49 0.72 0.5184 -3.2184

34 4.53 20.5209 47 -1.28 1.6384 -5.7984

24 -5.47 29.9209 49 0.72 0.5184 -3.9384

26 -3.47 12.0409 49 0.72 0.5184 -2.4984

32 2.53 6.4009 47 -1.28 1.6384 -3.2384

25 -4.47 19.9809 40 -8.28 68.5584 37.0116

(124)

r

∑ xy

∑ x y

r

123,28

1238,97 473,22

r

123,28

586309,5

r

123,28

765,71

(125)

PRETEST X X2 POSTTEST Y Y2 XY

27 -2.44 5.9536 58 -3.39 11.4921 8.2716

33 3.56 12.6736 57 -4.39 19.2721 -15.6284

27 -2.44 5.9536 65 3.61 13.0321 -8.8084

33 3.56 12.6736 69 7.61 57.9121 27.0916

27 -2.44 5.9536 56 -5.39 29.0521 13.1516

33 3.56 12.6736 57 -4.39 19.2721 -15.6284

27 -2.44 5.9536 62 0.61 0.3721 -1.4884

27 -2.44 5.9536 63 1.61 2.5921 -3.9284

33 3.56 12.6736 57 -4.39 19.2721 -15.6284

20 -9.44 89.1136 69 7.61 57.9121 -71.8384

36 6.56 43.0336 61 -0.39 0.1521 -2.5584

33 3.56 12.6736 51 -10.39 107.9521 -36.9884

33 3.56 12.6736 51 -10.39 107.9521 -36.9884

27 -2.44 5.9536 61 -0.39 0.1521 0.9516

19 -10.44 108.9936 58 -3.39 11.4921 35.3916

20 -9.44 89.1136 63 1.61 2.5921 -15.1984

44 14.56 211.9936 71 9.61 92.3521 139.9216

19 -10.44 108.9936 58 -3.39 11.4921 35.3916

28 -1.44 2.0736 63 1.61 2.5921 -2.3184

34 4.56 20.7936 69 7.61 57.9121 34.7016

34 4.56 20.7936 58 -3.39 11.4921 -15.4584

26 -3.44 11.8336 63 1.61 2.5921 -5.5384

33 3.56 12.6736 58 -3.39 11.4921 -12.0684

26 -3.44 11.8336 62 0.61 0.3721 -2.0984

33 3.56 12.6736 69 7.61 57.9121 27.0916

26 -3.44 11.8336 59 -2.39 5.7121 8.2216

25 -4.44 19.7136 56 -5.39 29.0521 23.9316

33 3.56 12.6736 59 -2.39 5.7121 -8.5084

35 5.56 30.9136 65 3.61 13.0321 20.0716

26 -3.44 11.8336 59 -2.39 5.7121 8.2216

36 6.56 43.0336 64 2.61 6.8121 17.1216

36 6.56 43.0336 69 7.61 57.9121 49.9216

20 -9.44 89.1136 59 -2.39 5.7121 22.5616

28 -1.44 2.0736 60 -1.39 1.9321 2.0016

36 6.56 43.0336 69 7.61 57.9121 49.9216

27 -2.44 5.9536 62 0.61 0.3721 -1.4884

(126)

r ∑ xy ∑ x y

r 251,78

1168,89 898,56

r 251,78

√1050312

r 1024,85251,78

(127)

!

"

#

#

# "

#

!

$ # $

" !

% $ ! # ! ! # %

! "

$ $ #

" # "

% ## " ## # $ % # # ! " ! !

$ " #

" " #

% # "

# "

!

"

"

# !

# %

&̄ "' ! $' $

( ) * #'"# ' $

(128)

2

1 2

1 2 1

2

! "

48.28 29.47 13.52

36 35.436 2+0.16- 3.68√36 5.95√36

18.81

.0.38 0.98 2+0.16-+0.61-+0.99-18.81

(129)

!"

## !

# $!

% ## $&

! !$

$ ## !

$

" $#

& ## !

' ' $&

#$ $

## !

# ## !

% $

! & !"

$ ' $#

%%

" & !"

& " $#

' #% $&

#% !"

$ $#

# ## !"

% $ $

! ## $&

$ $ !&

! !$

" ## !&

& #! $!

#' $ !&

# #$ $%

# #$ $&

## ' !&

#% " $'

#! #$ $&

#$ $

(̄ &)%% $ )#&

* !) " !)'

(130)

2

1 2

1 2 1

2

! "

61.39 29.44 25.67

36 33.436 2*0.25, 5.07√36 5.78√36

31.95

.0.71 0.93 2*0.25,*0.84,*0.96, 31.95

(131)
(132)
(133)
(134)
(135)
(136)
(137)
(138)
(139)
(140)
(141)

Referensi

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