pengolhan data.docx

49
PENGOLAHAN DATA Data Antropomtri smb l iqb al sof i viv i fid ho ida faq ih fat ha ahma d her i fath ur nasru din x x2 x ̅ PT 18 19 16 17 18 17 19 19 24 17 18 202 4080 4 18.4 Uji kergaman data x = 18.4 n = 11 σ = ( x~ x) 2 n1 σ = {( 1818.4 ) 2 +( 1918.4) 2 +(16 18.4) 2 +( 1718.4) 2 +( 1818.4 ) 2 +( 1718.4) 2 11 1 (Lanjutan) {( 19 18.4) 2 +( 1918.4) 2 +( 2418.4) 2 +( 17 18.4) 2 +( 1818.4) 2 } 11 1 σ =¿4,5 σ x = σ n σ x = 4,5 11 σ x =1,3 BKA = x + 3Ꝺ BKB = x - 3Ꝺ = 18.4 + 3(1.3) = 18.4 - 3(1.3) = 22,39 = 14,33

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Page 1: PENGOLHAN DATA.docx

PENGOLAHAN DATA

Data Antropomtri

smbl iqbal sofi vivi fidho ida faqihfath

a ahmad heri fathurnasrudi

n ∑x ∑x2 x ̅

PT 18 19 16 17 18 17 19 19 24 17 18 202 40804 18.4

Uji kergaman data

x = 18.4 n = 11

σ=√∑ (x−~x )2

n−1

σ=√∑ {(18−18.4)2+(19−18.4)2+(16−18.4)2+(17−18.4)2+(18−18.4)2+(17−18.4)2

11−1

(Lanjutan)

√∑ {(19−18.4)2+(19−18.4)2+(24−18.4)2+(17−18.4)2+(18−18.4)2 }11−1

σ=¿4,5

σ x=σ√n

σ x=4,5√11

σ x=1,3

BKA = x + 3Ꝺ BKB = x - 3Ꝺ

= 18.4 + 3(1.3) = 18.4 - 3(1.3)

= 22,39 = 14,33

Page 2: PENGOLHAN DATA.docx

PENGOLAHAN DATA

Data Antropomtri

smbl iqbal sofi vivi fidho ida faqihfath

a ahmad heri fathurnasrudi

n ∑x ∑x2 x ̅

PTT 10 11 9 9 8 10 11 11 11 9 11 110 12100 10,0

Uji kergaman data

x = 10,0 n = 11

σ=√∑ (x−~x )2

n−1

σ=√∑ {(10−10,0)2+(11−10,0)2+(9−10,0)2+(8−10,0)2+(10−10,0)2+(11−10,0)2

11−1

(Lanjutan)

√∑ {(11−10,0)2+(11−10,0)2+¿¿¿¿¿

σ=¿1,2

σ x=σ√n

σ x=1,2√11

σ x=0,4

BKA = x + 3Ꝺ BKB = x - 3Ꝺ

= 10,0 + 3(0,4) = 10,0 - 3(0,4)

= 11,09 = 8,91

Page 3: PENGOLHAN DATA.docx

PENGOLAHAN DATA

smbl

iqbal sofi vivi fidho ida faqih fatha ahmad

heri fathur nasrudin

∑x ∑x2 x ̅

PUJ 6 8 6 6 6 5 7 7 6 8 6 71 5041 6.5Data Antropomtr

Uji kergaman data

x = 6.5 n = 11

σ=√∑ (x−~x )2

n−1

σ=√∑ {(6−6.5)2+(8−6.5)2+(6−6.5)2+(6−6.5)2+(6−6.5)2+(5−6.5)2

11−1

(Lanjutan)

√∑ {(7−6.5)2+¿¿¿¿¿

σ=¿0,9

σ x=σ√n

σ x=0,9√11

σ x=0,3

BKA = x + 3Ꝺ BKB = x - 3Ꝺ

= 6,5+ 3(0,3) = 6,5 - 3(0,3)

= 7,24 = 5,67

Page 4: PENGOLHAN DATA.docx

PENGOLAHAN DATA

Data Antropomtri

smbl iqbal sofi vivi fidho ida faqihfath

a ahmad heri fathurnasrudi

n ∑x ∑x2 x ̅

PJT 6 8 6 6 7 6 8 8 8 9 7 79 6241 7.2

Uji kergaman data

x = 7,2 n = 11

σ=√∑ (x−~x )2

n−1

σ=√∑ {(6−7,2)2+(8−7,2)2+(6−7,2)2+(6−7,2)2+(7−7,2)2 +(6−7,2)2

11−1

(Lanjutan)

√∑ {(8−7,2)2+(8−7,2)2+(8−7,2)2+(9−7,2)2+(7−7,2)2 }11−1

σ=¿1,2

σ x=σ√n

σ x=1,2√11

σ x=0,4

BKA = x + 3Ꝺ BKB = x - 3Ꝺ

= 7,2+ 3(0,4) = 7,2- 3(0,4)

= 8,23 = 6,13

Page 5: PENGOLHAN DATA.docx

PENGOLAHAN DATA

Data Antropomtri

smbl iqbal sofi vivi fidho ida faqihfath

a ahmad heri fathurnasrudi

n ∑x ∑x2 x ̅PJTG 7 9 7 7 7 7 9 8 8 10 8 87 7569 7.9

Uji kergaman data

x = 7,9 n = 11

σ=√∑ (x−~x )2

n−1

σ=√∑ {(7−7,9)2+(9−7,9)2+(7−7,9)2+(7−7,9)2+(7−7,9)2+(7−7,9)2

11−1

(Lanjutan)

√∑ {(9−7,9)2+(8−7,9)2+(8−7,9)2+(10−7,9)2+(8−7,9)2}11−1

σ=¿1,1

σ x=σ√n

σ x=1,1√11

σ x=0,3

BKA = x + 3Ꝺ BKB = x - 3Ꝺ

= 7,9+ 3(0,3) = 7,9 - 3(0,3)

= 8,90 = 6,92

Page 6: PENGOLHAN DATA.docx

PENGOLAHAN DATA

Data Antropomtri

smbl iqbal sofi vivi fidho ida faqihfath

a ahmad heri fathurnasrudi

n ∑x ∑x2 x ̅

PJM 7 8 7 6 7 6 7 7 7 8 7 77 5929 7.0

Uji kergaman data

x = 7,0 n = 11

σ=√∑ (x−~x )2

n−1

σ=√∑ {(7−7,0)2+(8−7,0)2+(7−18.4)2+(6−7,0)2+(7−7,0)2+(6−7,0)2

11−1

(Lanjutan)

√∑ {(7−7,0)2+(7−7,0)2+(7−7,0)2+(8−7,0)2+(7−7,0)2 }11−1

σ=¿0,7

σ x=σ√n

σ x=0,7√11

σ x=0,2

BKA = x + 3Ꝺ BKB = x - 3Ꝺ

= 7,0+ 3(0,2) = 7,0 - 3(0,2)

= 7,36 = 6,64

Page 7: PENGOLHAN DATA.docx

PENGOLAHAN DATA

Data Antropomtri

smbl iqbal sofi vivi fidho ida faqihfath

a ahmad heri fathurnasrudi

n ∑x ∑x2 x ̅PJK 5 6 5 5 5 6 6 6 7 6 6 63 3969 5.7

Uji kergaman data

x = 5,7 n = 11

σ=√∑ (x−~x )2

n−1

σ=√∑ {(5−5,7)2+(6−5,7)2+(5−5,7)2+(5−5,7)2+(5−5,7)2 +(6−5,7)2

11−1

(Lanjutan)

√∑ {(6−5,7)2+(6−5,7)2+(7−5,7)2+(6−5,7)2+(6−5,7)2 }11−1

σ=¿0,6

σ x=σ√n

σ x=0,6√11

σ x=0.2

BKA = x + 3Ꝺ BKB = x - 3Ꝺ

= 5,7+ 3(0.2) = 5,7- 3(0.2)

= 6,11 = 5,35

Page 8: PENGOLHAN DATA.docx

PENGOLAHAN DATA

Data Antropomtri

smbl iqbal sofi vivi fidho ida faqihfath

a ahmad heri fathurnasrudi

n ∑x ∑x2 x ̅

LIJ 2 2 2 2 2 2 2 2 7 6 6 35 1225 3.2

Uji kergaman data

x = 3.2 n = 11

σ=√∑ (x−~x )2

n−1

σ=√∑ {(2−3.2)2+(2−3.2)2+(2−3.2)2+(2−3.2)2+(2−3.2)2+(17−3.2)2

11−1

(Lanjutan)

√∑ {(2−3.2)2+(2−3.2)2+(7−3.2)2+(6−3.2)2+(6−3.2)2}11−1

σ=¿0,3

σ x=σ√n

σ x=0,3√11

σ x=0,1

BKA = x + 3Ꝺ BKB = x - 3Ꝺ

= 3.2+ 3(1.3) = 3.2- 3(1.3)

= 6,95 = 0,58

Page 9: PENGOLHAN DATA.docx

PENGOLAHAN DATA

Data Antropomtri

smbl iqbal sofi vivi fidho ida faqihfath

a ahmad heri fathurnasrudi

n ∑x ∑x2 x ̅

TIJ 2 2 2 2 1 2 2 2 2 2 2 21 441 1.9

Uji kergaman data

x = 1,9 n = 11

σ=√∑ (x−~x )2

n−1

σ=√∑ {(2−1,9)2+(2−1,9)2+(2−1,9)2+(2−1,9)2+(1−1,9)2+(2−1,9)2

11−1

(Lanjutan)

√∑ {(2−1,9)2+(2−1,9)2+(2−1,9)2+(2−1,9)2+(2−1,9)2 }11−1

σ=¿0,2

σ x=σ√n

σ x=0,2√11

σ x=0,1

BKA = x + 3Ꝺ BKB = x - 3Ꝺ

= 1,9+ 3(0,1) = 1,9- 3(0,1)

= 1,99 = 1,83

Page 10: PENGOLHAN DATA.docx

PENGOLAHAN DATA

Data Antropomtri

smbl Iqbal sofi vivi fidho ida faqih fatha ahmad herifathu

rnasrudi

n ∑x ∑x2 x ̅LT 2 2 2 2 2 2 2 2 2 2 2 22 484 2.0

Uji kergaman data

x = 2.0 n = 11

σ=√∑ (x−~x )2

n−1

σ=√∑ {(2−2.0)2+(2−2.0)2+(2−2.0)2+(2−2.0)2+¿¿¿¿¿

(Lanjutan)

√∑ {(2−2.0)2+(2−2.0)2+(2−2.0)2+(2−2.0)2+(2−2.0)2 }11−1

σ=¿0,2

σ x=σ√n

σ x=0,2√11

σ x=0,1

BKA = x + 3Ꝺ BKB = x - 3Ꝺ

= 2.0+ 3(0,1) = 2.0- 3(0,1)

= 2,3 = 1,7

Page 11: PENGOLHAN DATA.docx

PENGOLAHAN DATA

Data Antropomtri

smbl iqbal sofi vivi fidho ida faqihfath

a ahmad heri fathurnasrudi

n ∑x ∑x2 x ̅TJT 2 2 2 2 1 2 2 2 2 2 2 21 441 1.9

Uji kergaman data

x = 1,9 n = 11

σ=√∑ (x−~x )2

n−1

σ=√∑ {(2−1,9)2+(2−1,9)2+(2−1,9)2+(2−1,9)2+(1−1,9)2+(2−1,9)2

11−1

(Lanjutan)

√∑ {(2−1,9)2+(2−1,9)2+(2−1,9)2+(2−1,9)2+(2−1,9)2 }11−1

σ=¿0,2

σ x=σ√n

σ x=0,2√11

σ x=0,1

BKA = x + 3Ꝺ BKB = x - 3Ꝺ

= 1,9+ 3(0,1) = 1,9- 3(0,1)

= 1,99 = 1,83

Page 12: PENGOLHAN DATA.docx

PENGOLAHAN DATA

Data Antropomtri

smbl iqbal sofi vivi fidho ida faqihfath

a ahmad heri fathurnasrudi

n ∑x ∑x2 x ̅LTT 8 8 7 7 8 8 9 9 8 9 7 88 7744 8.0

Uji kergaman data

x = 8.0 n = 11

σ=√∑ (x−~x )2

n−1

σ=√∑ {(8−8.0)2+(8−8.0)2+(7−8.0)2+(7−8.0)2+(8−8.0)2+¿¿¿¿¿

(Lanjutan)

√∑ {(9−8.0)2+(9−8.0)2+(8−8.0)2+¿¿¿¿¿

σ=¿0,8

σ x=σ√n

σ x=0,8√11

σ x=0,2

BKA = x + 3Ꝺ BKB = x - 3Ꝺ

= 0,8 + 3(0,2) = 0,8- 3(0,2)

=8,54 = 7,46

Page 13: PENGOLHAN DATA.docx

PENGOLAHAN DATA

Data Antropomtri

smbl iqbal sofi vivi fidho ida faqih fatha ahmad herifathu

r nasrudin ∑x ∑x2 x ̅LTTM 10 11 8 9 10 10 11 11 10 11 10 111 12321 10.1

Uji kergaman data

x = 10,1 n = 11

σ=√∑ (x−~x )2

n−1

σ=√∑ {(10−10,1)2+(11−10,1)2+(8−10,1)2+(9−10,1)2+(10−10,1)2+(10−10,1)2

11−1

(Lanjutan)

√∑ {(11−10,1)2+(11−10,1)2+(10−10,1)2+(11−10,1)2+(10−10,1)2}11−1

σ=¿1,0

σ x=σ√n

σ x=1,0√11

σ x=0,3

BKA = x + 3Ꝺ BKB = x - 3Ꝺ

= 10,1+ 3(0,3) = 10,1- 3(0,3)

= 10,90 = 9,29

Page 14: PENGOLHAN DATA.docx

PENGOLAHAN DATA

Data Antropomtri

smbl iqbal sofi vivi fidho ida faqih fatha ahmad heri fathurnasrudi

n ∑x ∑x2 x ̅LTTMI

N 8 8 8 8 9 9 10 10 10 9 9 98 9604 8.9

Uji kergaman data

x = 8.9 n = 11

σ=√∑ (x−~x )2

n−1

σ=√∑ {(8−8.9)2+(8−8.9)2+(8−8.9)2+(8−8.9)2+(9−8.9)2+(9−8.9)2

11−1

(Lanjutan)

√∑ {(10−8.9)2+(10−8.9)2+(10−8.9)2+(9−8.9)2+(9−8.9)2 }11−1

σ=¿0,9

σ x=σ√n

σ x=0,9√11

σ x=0,3

BKA = x + 3Ꝺ BKB = x - 3Ꝺ

= 8.9+ 3(0,3) = 8.9- 3(0,3)

= 9.53 = 8,28

Page 15: PENGOLHAN DATA.docx

PENGOLAHAN DATA

Data Antropomtri

smbl iqbal sofi vivi fidho ida faqihfath

a ahmad heri fathurnasrudi

n ∑x ∑x2 x ̅TTT 3 3 4 3 2 3 3 3 2 2 3 31 961 2.8

Uji kergaman data

x = 2,8 n = 11

σ=√∑ (x−~x )2

n−1

σ=√∑ {(3−2,8)2+(3−2,8)2+(4−2,8)2+(3−2,8)2+(2−2,8)2+(3−2,8)2

11−1

(Lanjutan)

√∑ {(3−2,8)2+(3−2,8)2+(2−2,8)2+(2−2,8)2+(3−2,8)2}11−1

σ=¿0,3

σ x=σ√n

σ x=0,3√11

σ x=0,1

BKA = x + 3Ꝺ BKB = x - 3Ꝺ

= 2,8+ 3(0,1) = 2,8- 3(0,1)

= 3,15 = 2,49

Page 16: PENGOLHAN DATA.docx

PENGOLAHAN DATA

Data Antropomtri

smbl iqbal sofi vivi fidho ida faqihfath

a ahmad heri fathurnasrudi

n ∑x ∑x2 x ̅TTTJ 5 5 4 4 2 5 6 6 5 5 4 51 2601 4.6

Uji kergaman data

x = 4,6 n = 11

σ=√∑ (x−~x )2

n−1

σ=√∑ {(5−4,6)2+(5−4,6)2+(4−4,6)2+(4−4,6)2+(2−4,6)2+(5−4,6)2

11−1

(Lanjutan)

√∑ {(6−4,6)2+(6−4,6)2+(5−4,6)2+(5−4,6)2+(4−4,6)2}11−1

σ=¿0,5

σ x=σ√n

σ x=0,5√11

σ x=0,1

BKA = x + 3Ꝺ BKB = x - 3Ꝺ

= 4,6+ 3(0,1) = 4,6 - 3(0,1)

= 5,77 = 3,50

Page 17: PENGOLHAN DATA.docx

PENGOLAHAN DATA

Data Antropomtri

smbl iqbal sofi vivi fidho ida faqihfath

a ahmad heri fathurnasrudi

n ∑x ∑x2 x ̅DG 17 18 15 16 9 16 21 21 16 19 17 185 34225 16.8

Uji kergaman data

x = 16,8 n = 11

σ=√∑ (x−~x )2

n−1

σ=√∑ {(17−16,8)2+(18−16,8)2+(15−16,8)2+(16−16,8)2+(9−16,8)2+(16−16,8)2

11−1

(Lanjutan)

√∑ {(21−16,8)2+(21−16,8)2+(16−16,8)2+(19−16,8)2+(17−16,8)2 }11−1

σ=¿1,7

σ x=σ√n

σ x=1,7√11

σ x=0,5

BKA = x + 3Ꝺ BKB = x - 3Ꝺ

= 16,8+ 3(0,5) = 16,8- 3(0,5)

= 26,55 = 7,08

Page 18: PENGOLHAN DATA.docx

PENGOLAHAN DATA

Data Antropomtri

smbl iqbal sofi vivi fidho ida faqihfath

a ahmad heri fathurnasrudi

n ∑x ∑x2 x ̅LM 20 17 18 19 19 21 22 22 21 22 21 222 49284 20.2

Uji kergaman data

x = 20,2 n = 11

σ=√∑ (x−~x )2

n−1

σ=√∑ {(20−20,2)2+(17−20,2)2+(18−20,2)2+(19−20,2)2+(19−20,2)2+(21−20,2)2

11−1

(Lanjutan)

√∑ {(22−20,2)2+(22−20,2)2+(21−20,2)2+(22−20,2)2+(21−20,2)2}11−1

σ=¿2,0

σ x=σ√n

σ x=2,0√11

σ x=0,6

BKA = x + 3Ꝺ BKB = x - 3Ꝺ

= 20,2 + 3(0,6) = 20,2- 3(0,6)

= 22,86 = 17,50

Page 19: PENGOLHAN DATA.docx

PENGOLAHAN DATA

Data Antropomtri

smbl iqbal sofi vivi fidho ida faqihfath

a ahmad heri fathurnasrudi

n ∑x ∑x2 x ̅LJ 6 8 6 6 6 7 8 8 8 8 7 78 6084 7.1

Uji kergaman data

x = 7,1 n = 11

σ=√∑ (x−~x )2

n−1

σ=√∑ {(6−7,1)2+(8−7,1)2+(6−7,1)2+(6−7,1)2+(6−7,1)2 +(7−7,1)2

11−1

(Lanjutan)

√∑ {(8−7,1)2+(8−7,1)2+(8−7,1)2+(8−7,1)2+(7−7,1)2 }11−1

σ=¿0,7

σ x=σ√n

σ x=0,7√11

σ x=0,2

BKA = x + 3Ꝺ BKB = x - 3Ꝺ

= 7,1+ 3(0,2) = 7,1- 3(0,2)

= 7,90 = 6,29

Page 20: PENGOLHAN DATA.docx

PENGOLAHAN DATA

Data Antropomtri

smbl iqbal sofi vivi fidho ida faqihfath

a ahmad heri fathurnasrudi

n ∑x ∑x2 x ̅PTK 22 26 22 23 23 23 27 26 24 26 25 267 71289 24.3

Uji kergaman data

x = 2,43 n = 11

σ=√∑ (x−~x )2

n−1

σ=√∑ {(22−2,43)2+(26−2,43)2+(22−2,43)2+(23−2,43)2+(23−2,43)2 +(23−2,43)2

11−1

(Lanjutan)

√∑ {(27−2,43)2+(26−2,43)2+(24−2,43)2+(26−2,43)2+(25−2,43)2}11−1

σ=¿2,4

σ x=σ√n

σ x=2,4√11

σ x=0,7

BKA = x + 3Ꝺ BKB = x - 3Ꝺ

= 2,43 + 3(0,7) = 2,43- 3(0,7)

= 27,18 = 21,36

Page 21: PENGOLHAN DATA.docx

PENGOLAHAN DATA

Data Antropomtri

smbl iqbal sofi vivi fidho ida faqihfath

a ahmad heri fathurnasrudi

n ∑x ∑x2 x ̅PTL 16 18 16 16 17 18 20 21 21 19 19 201 40401 18.3

Uji kergaman data

x = 18.3 n = 11

σ=√∑ (x−~x )2

n−1

σ=√∑ {(186−18.3)2+(18−18.3)2+(16−18.3)2+(16−18.3)2+(17−18.3)2+(18−18.3)2

11−1

(Lanjutan)

√∑ {(20−18.3)2+(21−18.3)2+(21−18.3)2+(19−18.3)2+(19−18.3)2}11−1

σ=¿1,8

σ x=σ√n

σ x=1,8√11

σ x=0,6

BKA = x + 3Ꝺ BKB = x - 3Ꝺ

= 18.3 + 3(0,6) = 18.3 - 3(0,6)

= 21,55 = 15,00

Page 22: PENGOLHAN DATA.docx

PENGOLAHAN DATA

Data Antropomtri

smbl iqbal sofi vivi fidho ida faqihfath

a ahmad heri fathurnasrudi

n ∑x ∑x2 x ̅PKK 19 23 17 19 19 14 22 22 22 21 21 219 47961 19.9

Uji kergaman data

x = 19,9 n = 11

σ=√∑ (x−~x )2

n−1

σ=√∑ {(19−19,9)2+(23−19,9)2+(17−19,9)2+(19−19,9)2+(14−19,9)2 +(22−19,9)2

11−1

(Lanjutan)

√∑ {(22−19,9)2+(22−19,9)2+(22−19,9)2+(21−19,9)2+(21−19,9)2 }11−1

σ=¿2,0

σ x=σ√n

σ x=4,5√11

σ x=0,6

BKA = x + 3Ꝺ BKB = x - 3Ꝺ

= 19,9+ 3(0,6) = 19,9 - 3(0,6)

= 26,32 = 13,50

Page 23: PENGOLHAN DATA.docx

PENGOLAHAN DATA

Data Antropomtri

smbl iqbal sofi vivi fidho ida faqihfath

a ahmad heri fathurnasrudi

n ∑x ∑x2 x ̅LK 10 9 8 9 9 8 10 9 9 10 10 101 10201 9.2

Uji kergaman data

x = 9,2 n = 11

σ=√∑ (x−~x )2

n−1

σ=√∑ {(10−9,2)2+(9−9,2)2+(8−9,2)2+(9−9,2)2+(9−9,2)2 +(8−9,2)2

11−1

(Lanjutan)

√∑ {(10−9,2)2+(9−9,2)2+(9−9,2)2+(10−9,2)2+(10−9,2)2}11−1

σ=¿0,9

σ x=σ√n

σ x=0,9√11

σ x=0,3

BKA = x + 3Ꝺ BKB = x - 3Ꝺ

= 9,2 + 3(0.3) = 9,2- 3(0.3)

= 9,69 = 8,67

Page 24: PENGOLHAN DATA.docx

PENGOLAHAN DATA

Data Antropomtri

smbl iqbal sofi vivi fidho ida faqihfath

a ahmad heri fathurnasrudi

n ∑x ∑x2 x ̅LTK 6 6 5 5 6 6 5 6 7 6 6 64 4096 5.8

Uji kergaman data

x = 5,8 n = 11

σ=√∑ (x−~x )2

n−1

σ=√∑ {(6−5,8)2+(6−5,8)2+(5−5,8)2+(5−5,8)2+(6−5,8)2+(6−5,8)2

11−1

(Lanjutan)

√∑ {(5−5,8)2+(6−5,8)2+(7−5,8)2+(6−5,8)2+(6−5,8)2 }11−1

σ=¿0,6

σ x=σ√n

σ x=0,6√11

σ x=0,2

BKA = x + 3Ꝺ BKB = x - 3Ꝺ

= 5,8 + 3(0,2) = 5,8 - 3(0,2)

= 6,15 = 5,49

Page 25: PENGOLHAN DATA.docx

PENGOLAHAN DATA

Data Antropomtri

smbl iqbal sofi vivi fidho ida faqihfath

a ahmad heri fathurnasrudi

n ∑x ∑x2 x ̅TMK 7 8 8 8 8 9 7 9 9 9 8 90 8100 8.2

Uji kergaman data

x = 8,2 n = 11

σ=√∑ (x−~x )2

n−1

σ=√∑ {(7−8,2)2+(8−8,2)2+(8−8,2)2+(8−8,2)2+(8−8,2)2+(9−8,2)2

11−1

(Lanjutan)

√∑ {(7−8,2)2+(9−8,2)2+(9−8,2)2+(9−8,218.4)2+(8−8,2)2}11−1

σ=¿0,8

σ x=σ√n

σ x=0,8√11

σ x=0,2

BKA = x + 3Ꝺ BKB = x - 3Ꝺ

= 8,2+ 3(0,2) = 8,2 - 3(0,2)

= 8,69 = 7,67

Page 26: PENGOLHAN DATA.docx

PENGOLAHAN DATA

Data Antropomtri

smbl iqbal sofi vivi fidho ida faqihfath

a ahmad heri fathurnasrudi

n ∑x ∑x2 x ̅TTK 6 6 3 3 5 7 6 6 6 8 6 62 3844 5.6

Uji kergaman data

x = 5,6 n = 11

σ=√∑ (x−~x )2

n−1

σ=√∑ {(6−5,6)2+(6−5,6)2+(3−5,6)2+(3−5,6)2+(5−5,6)2 +(7−5,6)2

11−1

(Lanjutan)

√∑ {(6−5,6)2+(6−5,6)2+¿¿¿¿¿

σ=¿0,6

σ x=σ√n

σ x=0,6√11

σ x=0,2

BKA = x + 3Ꝺ BKB = x - 3Ꝺ

= 5,6+ 3(0,2) = 5,6 - 3(0,2)

= 7,68 = 3,60

Page 27: PENGOLHAN DATA.docx

PENGOLAHAN DATA

Data Antropomtri

smbl iqbal sofi vivi fidho ida faqihfath

a ahmad heri fathurnasrudi

n ∑x ∑x2 x ̅HMK 6 6 6 5 5 5 7 5 5 4 8 62 3844 5.6

Uji kergaman data

x = 5,6 n = 11

σ=√∑ (x−~x )2

n−1

σ=√∑ {(6−5,6)2+(6−5,6)2+(6−5,6)2+(5−5,6)2+(5−5,6)2+(5−5,6)2

11−1

(Lanjutan)

√∑ {(7−5,6)2+(5−5,6)2+(5−5,6)2+(4−5,6)2+(8−5,6)2 }11−1

σ=¿0,6

σ x=σ√n

σ x=0,6√11

σ x=0,2

BKA = x + 3Ꝺ BKB = x - 3Ꝺ

= 5,6 + 3(0,2) = 5,6 - 3(0,2)

= 6,77 = 4,50

PENGOLAHAN DATA

Page 28: PENGOLHAN DATA.docx

Data Antropomtri

smbl iqbal sofi vivi fidho ida faqihfath

a ahmad heri fathurnasrudi

n ∑x ∑x2 x ̅PK 17 20 17 16 17 16 20 22 19 18 19 201 40401 18.3

Uji kergaman data

x = 18.3 n = 11

σ=√∑ (x−~x )2

n−1

σ=√∑ {(17−18.3)2+(20−18.3)2+(17−18.3)2+(16−18.4)2+(17−18.3)2+(16−18.3)2

11−1

(Lanjutan)

√∑ {(20−18.3)2+(22−18.3)2+(19−18.3)2+(18−18.3)2+(19−18.4)2 }11−1

σ=¿1,8

σ x=σ√n

σ x=1,8√11

σ x=0,6

BKA = x + 3Ꝺ BKB = x - 3Ꝺ

= 18.3 + 3(0,6) = 18.3 - 3(0,6)

= 21,55 = 15,00

PENGOLAHAN DATA

Data Antropomtri

Page 29: PENGOLHAN DATA.docx

smbl iqbal sofi vivi fidho ida faqihfath

a ahmad heri fathurnasrudi

n ∑x ∑x2 x ̅LKP 16 15 15 14 16 14 16 17 17 18 16 174 30276 15.8

Uji kergaman data

x = 15,8 n = 11

σ=√∑ (x−~x )2

n−1

σ=√∑ {(16−15,8)2+(15−15,8)2+¿¿¿¿¿

(Lanjutan)

√∑ {(116−15,8)2+(17−15,8)2+(17−15,8)2+(18−15,8)2+(16−15,8)2 }11−1

σ=¿1,6

σ x=σ√n

σ x=1,6√11

σ x=0,5

BKA = x + 3Ꝺ BKB = x - 3Ꝺ

= 15,8 + 3(0,5) = 15,8 - 3(0,5)

= 17,23 = 14,40

PENGOLAHAN DATA

Data Antropomtri

smbl iqba sofi vivi fidho ida faqih fatha ahma heri fathur nasrudin ∑x ∑x2 x ̅

Page 30: PENGOLHAN DATA.docx

l dDMD 26 21 24 23 23 23 26 28 25 28 25 272 73984 24.7

Uji kergaman data

x = 24,7 n = 11

σ=√∑ (x−~x )2

n−1

σ=√∑ {(26−24,7)2+(21−24,7)2+(24−24,7)2+(23−24,7)2+(23−24,7)2+(23−24,7)2

11−1

(Lanjutan)

√∑ {(26−24,7)2+(28−24,7)2+(25−24,7)2+(28−24,7)2+(25−24,7)2}11−1

σ=¿2,5

σ x=σ√n

σ x=2,5√11

σ x=0,7

BKA = x + 3Ꝺ BKB = x - 3Ꝺ

= 24,7 + 3(0,7) = 24,7 - 3(0,7)

= 29,09 = 20,37

PENGOLAHAN DATA

Data Antropomtri

smbl iqbal sofi vivi fidho ida faqih fath ahmad heri fathur nasrudi ∑x ∑x2 x ̅

Page 31: PENGOLHAN DATA.docx

a nDPK 21 22 19 19 19 22 24 24 24 25 22 241 58081 21.9

Uji kergaman data

x = 21,9 n = 11

σ=√∑ (x−~x )2

n−1

σ=√∑ {(21−21,9)2+(22−21,9)2+(19−21,9)2+(19−21,9)2+(19−21,9)2+(22−21,9)2

11−1

(Lanjutan)

√∑ {(24−21,9)2+(24−21,9)2+(24−21,9)2+(25−21,9)2+(22−21,9)2 }11−1

σ=¿2,2

σ x=σ√n

σ x=2,2√11

σ x=10,7

BKA = x + 3Ꝺ BKB = x - 3Ꝺ

= 21,9 + 3(10,7) = 21,9 - 3(10,7)

= 26,33 = 17,49

PENGOLAHAN DATA

Data Antropomtri

smbl iqbal sofi vivi fidho ida faqih fath ahmad heri fathur nasrudi ∑x ∑x2 x ̅

Page 32: PENGOLHAN DATA.docx

a nTPK 13 16 13 11 12 12 13 14 14 15 14 147 21609 13.4

Uji kergaman data

x = 13.4 n = 11

σ=√∑ (x−~x )2

n−1

σ=√∑ {(13−13.4)2+(16−13.4)2+(13−13.4)2+(11−13.4)2+(12−13.4)2+(12−13.4)2

11−1

(Lanjutan)

√∑ {(13−13.4)2+(14−13.4)2+(14−13.4)2+(15−13.4)2+(14−13.4)2}11−1

σ=¿1,3

σ x=σ√n

σ x=1,3√11

σ x=0,4

BKA = x + 3Ꝺ BKB = x - 3Ꝺ

= 13.4 + 3(0,4) = 13.4 - 3(0,4)

= 15,22 = 11,51

PENGOLAHAN DATA

Data Antropomtri

smbl iqbal sofi vivi fidho ida faqih fath ahmad heri fathur nasrudi ∑x ∑x2 x ̅

Page 33: PENGOLHAN DATA.docx

a nTBK 8 9 7 7 8 8 11 10 9 9 10 96 9216 8.7

Uji kergaman data

x = 8,7 n = 11

σ=√∑ (x−~x )2

n−1

σ=√∑ {¿¿¿¿¿

(Lanjutan)

√∑ {(11−8,7)2+(10−8,7)2+(9−8,7)2+(9−8,7)2+(10−8,7)2}11−1

σ=¿0,9

σ x=σ√n

σ x=0,9√11

σ x=0,3

BKA = x + 3Ꝺ BKB = x - 3Ꝺ

= 8,7(0.3) = 8,7 - 3(0.3)

= 10,19 = 7,20

PENGOLAHAN DATA

Data Antropomtri

smbl iqbal sofi vivi fidho ida faqihfath

a ahmad heri fathurnasrudi

n ∑x ∑x2 x ̅

Page 34: PENGOLHAN DATA.docx

ABT 16 17 16 16 14 18 15 20 18 15 17 182 33124 16.5

Uji kergaman data

x = 16,5 n = 11

σ=√∑ (x−~x )2

n−1

σ=√∑ {(16−16,5)2+¿¿¿¿¿

(Lanjutan)

√∑ {(15−16,5)2+(20−16,5)2+(18−16,5)2+(15−16,5)2+(17−16,5)2 }11−1

σ=¿1,7

σ x=σ√n

σ x=1,7√11

σ x=0,5

BKA = x + 3Ꝺ BKB = x - 3Ꝺ

= 16,5 + 3(0,5) = 16,5 - 3(0,5)

= 19,14 = 19,95

PENLAHAN DATA

Data Antropomtri

smbl iqbal sofi vivi fidho ida faqih fath ahmad heri fathur nasrudi ∑x ∑x2 x ̅

Page 35: PENGOLHAN DATA.docx

a nMPK 11 10 11 9 10 12 14 13 12 15 11 128 16384 11.6

Uji kergaman data

x = 11,6 n = 11

σ=√∑ (x−~x )2

n−1

σ=√∑ {(11−11,6)2+(10−11,6)2+(11−11,6)2+(9−11,6)2+(10−11,6)2 +(12−11,6)2

11−1

(Lanjutan)

√∑ {(14−11,6 )2+(13−11,6 )2+(13−11,6)2+(15−11,6)2+(11−11,6)2 }11−1

σ=¿1,2

σ x=σ√n

σ x=1,2√11

σ x=0,4

BKA = x + 3Ꝺ BKB = x - 3Ꝺ

= 11,6 + 3(0,4) = 11,6 - 3(0,4)

= 14,58 = 8,69

PENGOLAHAN DATA

Data Antropomtri

smbl iqbal sofi vivi fidho ida faqih fath ahmad heri fathur nasrudi ∑x ∑x2 x ̅

Page 36: PENGOLHAN DATA.docx

a nMBK 15 18 16 14 14 15 16 15 15 17 18 173 29929 15.7

Uji kergaman data

x = 15,7 n = 11

σ=√∑ (x−~x )2

n−1

σ=√∑ {(15−15,7)2+(18−15,7)2+(16−15,7)2+(14−15,7)2+(14−15,7)2+(15−15,7)2

11−1

(Lanjutan)

√∑ {(16−15,7)2+(15−15,7)2+(15−15,7)2+(17−15,7)2+(18−15,7)2 }11−1

σ=¿1,6

σ x=σ√n

σ x=1,6√11

σ x=0,5

BKA = x + 3Ꝺ BKB = x - 3Ꝺ

= 15,7 + 3(0,5) = 15,7 - 3(0,5)

= 17,55 = 13,90

PENGOLAHAN DATA

Data Antropomtri

smbl iqbal sofi vivi fidho ida faqih fath ahmad heri fathur nasrudi ∑x ∑x2 x ̅

Page 37: PENGOLHAN DATA.docx

a nDPM 6 11 6 6 7 7 7 8 7 7 7 79 6241 7.2

Uji kergaman data

x = 7,2 n = 11

σ=√∑ (x−~x )2

n−1

σ=√∑ {(6−7,2)2+(11−7,2)2+(6−7,2)2+(6−7,2)2+(7−7,2)2+(7−7,2)2

11−1

(Lanjutan)

√∑ {(7−7,2)2+(8−7,2)2+(7−7,2)2+(7−7,2)2+(7−7,2)2 }11−1

σ=¿0,7

σ x=σ√n

σ x=0,7√11

σ x=0,2

BKA = x + 3Ꝺ BKB = x - 3Ꝺ

= 7,2 + 3(0,2) = 7,2 - 3(0,2)

= 8,96 = 5,41

PENGOLAHAN DATA

Data Antropomtri

smbl iqbal sofi vivi fidho ida faqih fath ahmad heri fathur nasrudi ∑x ∑x2 x ̅

Page 38: PENGOLHAN DATA.docx

a nHPK 13 20 14 13 12 16 18 17 17 18 15 173 29929 15.7

Uji kergaman data

x = 15,7 n = 11

σ=√∑ (x−~x )2

n−1

σ=√∑ {(13−15,7)2+(20−15,7)2+(14−15,7)2+(13−15,7)2+(12−15,7)2+(16−15,7)2

11−1

(Lanjutan)

√∑ {(18−15,7)2+(17−15,7)2+(17−15,7)2+(18−15,7)2+(15−15,7)2 }11−1

σ=¿1,6

σ x=σ√n

σ x=1,6√11

σ x=0,5

BKA = x + 3Ꝺ BKB = x - 3Ꝺ

= 15,7 + 3(0,5) = 15,7 - 3(0,5)

= 21,53 = 9,92

PENGOLAHAN DATA

Data Antropomtri

smbl iqbal sofi vivi fidho ida faqih fath ahmad heri fathur nasrudi ∑x ∑x2 x ̅

Page 39: PENGOLHAN DATA.docx

a nHBK 21 23 19 18 17 17 19 20 18 20 20 212 44944 19.3

Uji kergaman data

x = 19,3 n = 11

σ=√∑ (x−~x )2

n−1

σ=√∑ {(21−19,3)2+(23−19,3)2+(19−19,3)2+(18−19,3)2+(17−19,3)2+(17−19,3)2

11−1

(Lanjutan)

√∑ {(19−19,3)2+(20−19,3)2+(18−19,3)2+(20−19,3)2+(20−19,3)2 }11−1

σ=¿1,9

σ x=σ√n

σ x=1,9√11

σ x=0,6

BKA = x + 3Ꝺ BKB = x - 3Ꝺ

= 19,3+ 3(0,6) = 19,3- 3(0,6)

= 22,18 = 16,36

PENGOLAHAN DATA

Data Antropomtri

smbl iqbal sofi vivi fidho ida faqih fath ahmad heri fathur nasrudi ∑x ∑x2 x ̅

Page 40: PENGOLHAN DATA.docx

a n

MPL 16 20 17 15 14 18 19 20 20 20 19 198 39204 18.0

Uji kergaman data

x = 18.0 n = 11

σ=√∑ (x−~x )2

n−1

σ=√∑ {(16−18.0)2+(20−18,0)2+(17−18.0)2+(15−18.0)2+(14−18.0)2+(18−18.0)2

11−1

(Lanjutan)

√∑ {(19−18.0)2+(20−18.0)2+(20−18.0)2+(20−18.0)2+(19−18.0)2 }11−1

σ=¿1,8

σ x=σ√n

σ x=1,8√11

σ x=0,5

BKA = x + 3Ꝺ BKB = x - 3Ꝺ

= 18.0 + 3(0,5) = 18.0 - 3(0,5)

= 22,34 = 13,66

PENGOLAHAN DATA

Data Antropomtri

Page 41: PENGOLHAN DATA.docx

smbl iqbal sofi vivi fidho ida faqihfath

a ahmad heri fathurnasrudi

n ∑x ∑x2 x ̅LM 5 5 5 5 5 5 6 5 5 6 6 58 3364 5.3

Uji kergaman data

x = 5,3 n = 11

σ=√∑ (x−~x )2

n−1

σ=√∑ {(5−5,3)2+(5−5,3)2+(5−5,3)2+(5−5,3)2+(5−5,3)2+(5−5,3)2

11−1

(Lanjutan)

√∑ {(6−5,3)2+(5−5,3)2+(5−5,3)2+(6−5,3)2+(6−5,3)2}11−1

σ=¿0,5

σ x=σ√n

σ x=0 ,5√11

σ x=0,2

BKA = x + 3Ꝺ BKB = x - 3Ꝺ

= 5,3 + 3(0,2) = 5,3 - 3(0,2)

= 5,47 = 5,08

PENGOLAHAN DATA

Data Antropomtri

Page 42: PENGOLHAN DATA.docx

smbl iqbal sofi vivi fidho idafaqi

h fathaahma

d herifathu

rnasrudi

n ∑x ∑x2 x ̅KL 36 37 35 28 31 33 34 40 31 36 36 377 142129 34.3

Uji kergaman data

x = 3,43 n = 11

σ=√∑ (x−~x )2

n−1

σ=√∑ {(36−3,43)2+(37−3,43)2+(35−3,43)2+(28−3,43)2+(31−3,43)2 +(33−3,43)2

11−1

(Lanjutan)

√∑ {(34−3,43)2+(40−3,43)2+(31−3,43)2+(36−3,43)2+(36−3,43)2 }11−1

σ=¿3,4

σ x=σ√n

σ x=3,4√11

σ x=1,0

BKA = x + 3Ꝺ BKB = x - 3Ꝺ

= 34,3 + 3(1.0) = 34,3 - 3(1.0)

= 44,42 = 24,13