Fa'ata'ita'iga o Fesili e Talanoaina ai Paseneti o Fa'amaumauga a Vaega
O pasene o se fua lea o le tulaga i fuainumera e faʻaaogaina e malamalama ai i le tufatufaina o faʻamaumauga. I totonu o lenei tusiga, o le a tatou talanoaina auiliili pe faʻapefea ona fuafua pasene mo faʻamaumauga faʻaputu. O le a tatou aofia ai ni faʻataʻitaʻiga o faʻafitauli ma a latou faʻamatalaga e faʻamanino ai lenei manatu. Seʻi o tatou amata i se malamalamaga faʻavae o pasene ona agai atu lea i faʻataʻitaʻiga ma a latou faʻamatalaga.
Malamalama i Paseneti
O le pasene o se tau e vaevaeina ai faʻamaumauga i ni vaega tutusa e 100. O lona uiga, o le pasene lona 9 o le tau lea e pa'ū i lalo ifo o le n% o faʻamaumauga i se tufatufaga. Mo se faʻataʻitaʻiga, afai o le faʻamaumauga e iai le pasene lona 25 (P25), o lona uiga e 25% o faʻamaumauga e pa'ū i lalo ifo o lena tau.
I faʻamaumauga faʻaputu, e masani ona tatou faʻaaogaina laulau tufatufaina o taimi e faʻatulaga ai faʻamaumauga ona fuafua lea o pasene talafeagai. O nei laulau e faʻaalia ai faʻamaumauga i va o vasega faʻapitoa, ma mafai ai ona tatou malamalama atili i le tufatufaina o faʻamaumauga.
Fua Fa'atatau Paseneti i Fa'amaumauga Vaega
O le fua fa'atatau lautele mo le fuafuaina o le pasene lona nth (Pn) i fa'amaumauga o vaega e fa'apea:
\[
P_n = L + \left( \frac{nN – \sum f_{\text{before}}}{f_{k}} \right) \times c
\]
O fea:
– \(P_n\) o le pasene lona nth.
– \(L\) o le pito maualalo lea o le vaeluaga o le vasega pasene.
– \(n\) o le pasene mana'omia (e.g., mo le P25, n = 25).
– \(N\) o le aofaʻi atoa o taimi faʻaopoopo.
– \(\sum f_{\text{before}}\) o le aofaʻi faʻaopoopo aʻo leʻi oʻo i le vaeluaga o le vasega pasene.
– \(f_{k}\) o le taimi masani lea o le vaeluaga o le vasega pasene.
– \(c\) o le umi lea o le vaeluaga o le vasega.
Faʻataʻitaʻiga o faʻafitauli
Mo se malamalamaga sili atu, se'i o tatou tilotilo i le fa'ata'ita'iga o fesili o lo'o mulimuli mai ma talanoaina auiliili.
Fa'ata'ita'iga Fesili 1
I se suʻesuʻega, na maua ai faʻamaumauga e uiga i le maualuga (i cm) o le 100 tamaiti aʻoga maualuga o le vasega 10 e pei ona taua i lalo:
| Vaitaimi o Vasega | Taimi e Fa'aaogā ai |
|———————-|———–|
| 150 – 154 | 5 |
| 155 – 159 | 8 |
| 160 – 164 | 12 |
| 165 – 169 | 20 |
| 170 – 174 | 30 |
| 175 – 179 | 15 |
| 180 – 184 | 10 |
Fuafua le 40 pasene (P40) o fa'amaumauga.
Laasaga e Foia ai
1. Fuafua le aofaʻi o taimi e tutupu ai mo vasega taʻitasi:
| Vaitaimi o Vasega | Taimi e Fa'aaogā Ai | Taimi e Fa'aputu ai |
|———————-|————–|————————|
| 150 – 154 | 5 | 5 |
| 155 – 159 | 8 | 13 |
| 160 – 164 | 12 | 25 |
| 165 – 169 | 20 | 45 |
| 170 – 174 | 30 | 75 |
| 175 – 179 | 15 | 90 |
| 180 – 184 | 10 | 100 |
2. Fa'ailoa le vaeluaga o le vasega pasene (P40):
Talu ai o loʻo tatou sailia le P40, tatou te manaʻomia le 40% o le 100 tamaiti aʻoga, o lona uiga e 40 tamaiti aʻoga. I le tilotilo i le laulau o taimi faʻaopoopo, tatou te iloa ai o loʻo taoto le 40 tamaiti aʻoga i le vaeluaga o vasega 165 – 169 cm aua o le 45 o le taimi faʻaopoopo muamua lea e sili atu i le 40.
3. Saili tau manaʻomia i le fua faʻatatau:
– \(L = 164.5\)
– \(nN = 40\)
– \(\aofa'i f_{\text{a'o le'i}} = 25\)
– \(f_k = 20\)
– \(c = 5\)
4. Ulufale i totonu o le fua fa'atatau:
\[
P_{40} = 164.5 + \left( \frac{40 – 25}{20} \right) \times 5
\]
\[
P_{40} = 164.5 + \left( \frac{15}{20} \right) \times 5
\]
\[
P_{40} = 164.5 + 0.75 \times 5
\]
\[
P_{40} = 164.5 + 3.75
\]
\[
P_{40} = 168.25
\]
O lea la, o le 40 pasene (P40) o faʻamaumauga e 168.25 cm.
Fa'ata'ita'iga Fesili 2
Faapea o loo i ai ni faʻamaumauga o togi o le suega matematika mai se vaega o tamaiti aoga e 200:
| Vaitaimi o Vasega | Taimi e Fa'aaogā ai |
|———————-|———–|
| 40 – 44 | 10 |
| 45 – 49 | 18 |
| 50 – 54 | 32 |
| 55 – 59 | 45 |
| 60 – 64 | 50 |
| 65 – 69 | 25 |
| 70 – 74 | 12 |
| 75 – 79 | 8 |
Fuafua le 75 pasene (P75) o fa'amaumauga.
Laasaga e Foia ai
1. Fuafua le aofaʻi o taimi e tutupu ai mo vasega taʻitasi:
| Vaitaimi o Vasega | Taimi e Fa'aaogā Ai | Taimi e Fa'aputu ai |
|———————-|————–|————————|
| 40 – 44 | 10 | 10 |
| 45 – 49 | 18 | 28 |
| 50 – 54 | 32 | 60 |
| 55 – 59 | 45 | 105 |
| 60 – 64 | 50 | 155 |
| 65 – 69 | 25 | 180 |
| 70 – 74 | 12 | 192 |
| 75 – 79 | 8 | 200 |
2. Fa'ailoa le vaeluaga o le vasega pasene (P75):
Talu ai o loʻo matou sailia le P75, matou te manaʻomia le 75% o le 200 tamaiti aʻoga, o lona uiga e 150 tamaiti aʻoga. A tilotilo i le aofaʻi o tamaiti aʻoga, matou te iloa ai e 150 tamaiti aʻoga e paʻuʻū i le vaeluaga o le vasega 60 – 64.
3. Saili tau manaʻomia:
– \(L = 59.5\)
– \(nN = 150\)
– \(\aofa'i f_{\text{a'o le'i}} = 105\)
– \(f_k = 50\)
– \(c = 5\)
4. Ulufale i totonu o le fua fa'atatau:
\[
P_{75} = 59.5 + \left( \frac{150 – 105}{50} \right) \times 5
\]
\[
P_{75} = 59.5 + \left( \frac{45}{50} \right) \times 5
\]
\[
P_{75} = 59.5 + 0.9 \times 5
\]
\[
P_{75} = 59.5 + 4.5
\]
\[
P_{75} = 64
\]
O lea la, o le 75 pasene (P75) o faʻamaumauga e 64.
I'uga
I totonu o lenei tusiga, ua matou talanoaina ai le auala e fuafua ai pasene mo faʻamaumauga faʻaputu e faʻaaoga ai fua faʻatatau ma ni faʻataʻitaʻiga o faʻafitauli. O pasene o se meafaigaluega aoga i fuainumera mo le malamalama i le tufatufaina o faʻamaumauga ma le fuafuaina o le tulaga faʻatatau o tau o faʻamaumauga. I le malamalama i le auala e fuafua ai pasene i faʻamaumauga faʻaputu, e mafai ona matou iloiloina faʻamaumauga i se auala sili atu ona atoatoa. Matou te faʻamoemoe o nei faʻataʻitaʻiga o faʻafitauli ma talanoaga ua fesoasoani ia te oe e malamalama atili ai i le manatu o pasene i faʻamaumauga faʻaputu.
