Tauira Pātai me te Kōrero mō te Toharite (Toharite) o ngā Raraunga Rōpū
He wāhanga nui te tukatuka raraunga o ngā tatauranga, hei āwhina i te tātari i ngā mōhiohio e whakaatuhia ana i roto i te āhua tau. Ko tētahi tikanga tukatuka raraunga ko te tatau i te toharite, te toharite rānei. Ko te toharite te tohu mō te uara waenga o tētahi huinga raraunga. I tēnei wā, ka matapakihia e tātou te toharite i roto i te horopaki o ngā raraunga rōpū.
Te Mārama ki te Toharite (Toharite)
Ko te toharite he ine i te ia matua e whakaahua ana i te uara e tumanakohia ana o tētahi huinga raraunga. Mō ngā raraunga rōpū, ka whiwhihia te toharite mā te tatau i te toharite o ngā pūwāhi waenga o ia wā akomanga kua tohaina he auau.
Te Tātai Toharite mō ngā Raraunga Rōpū
Hei tatau i te toharite o ngā raraunga rōpū, ka taea e tātou te whakamahi i te tātai:
\[ \bar{x} = \frac{\sum{f_i x_i}}{\sum{f_i}} \]
Dimana:
– Ko te toharite, te toharite rānei te \( \bar{x} \)
– Ko te auau o te akomanga tua-i ko \( f_i \)
– Ko te uara waenga o te akomanga ith te \( x_i \)
Ka tatauhia te uara toharite \( x_i \) mā te whakamahi i te tātai:
\[ x_i = \frac{\text{k}
U_i + L_i}{2} \]
Dimana:
– Ko te rohenga o runga o te akomanga wā tuarima ko \( U_i \)
– Ko te rohenga raro o te akomanga wā tuarima ko \( L_i \)
Ngā Pātai Tauira me te Kōrero
Hei mārama ake ki te tatau i te toharite o ngā raraunga rōpū, anei tētahi tauira pātai me tōna matapakinga.
Tauira raruraru:
Ko te ripanga i raro nei he raraunga mō te teitei o ngā ākonga i roto i tētahi akomanga.
| Wā (cm) | Auautanga (f_i) |
| ————– | ————– |
| 150 – 154 | 2 |
| 155 – 159 | 5 |
| 160 – 164 | 8 |
| 165 – 169 | 4 |
| 170 – 174 | 1 |
Tātaihia te teitei toharite (toharite) o ngā ākonga.
Kōrero:
1. Whakatauhia te Uara Waenga (x_i) mō ia Akomanga Wā:
| Wā (cm) | f_i | x_i = (U_i + L_i)/2 |
| —————– | — | ——————- |
| 150 – 154 | 2 | (154 + 150)/2 = 152 |
| 155 – 159 | 5 | (159 + 155)/2 = 157 |
| 160 – 164 | 8 | (164 + 160)/2 = 162 |
| 165 – 169 | 4 | (169 + 165)/2 = 167 |
| 170 – 174 | 1 | (174 + 170)/2 = 172 |
2. Tātaihia \( f_i x_i \):
| Wāhanga (cm) | f_i | x_i | f_i x_i |
| ————– | — | — | ——- |
| 150 – 154 | 2 | 152 | 2 152 = 304 |
| 155 – 159 | 5 | 157 | 5 157 = 785 |
| 160 – 164 | 8 | 162 | 8 162 = 1296 |
| 165 – 169 | 4 | 167 | 4 167 = 668 |
| 170 – 174 | 1 | 172 | 1 172 = 172 |
3. Tāpirihia te auau katoa (\( \sum{f_i} \)) me te tapeke o \( f_i x_i \) :
\[ \tapeke{f_i} = 2 + 5 + 8 + 4 + 1 = 20 \]
\[ \tapeke{f_i x_i} = 304 + 785 + 1296 + 668 + 172 = 3225 \]
4. Te Tātai i te Toharite (Toharite) \(\bar{x}\) :
\[ \bar{x} = \frac{\sum{f_i x_i}}{\sum{f_i}} = \frac{3225}{20} = 161.25 \]
Nō reira, ko te teitei toharite o ngā ākonga he 161.25 henemita.
Ngā Rerekētanga o Ētahi Atu Mahi Tukatuka Raraunga
Kāore te tukatuka raraunga e mutu i te tatau i te toharite. He maha ngā wā me tatau anō hoki e tātou ngā inenga o te tohatoha raraunga, pērā i te rerekētanga, te paerewa rerekētanga rānei, te tau waenga, me te aratau. Heoi anō, ko te toharite tonu tētahi o ngā inenga e whakamahia whānuitia ana i roto i ngā tātaritanga tatauranga.
He aha te hiranga o te kino?
Mā te toharite ka puta he whakaaro whānui mō te toharite o tētahi huinga raraunga kua tirohia. Nō reira, ki te tirohia e koe ngā raraunga teitei o ngā ākonga, hei tauira, ka taea e koe te tiki whakatau tata mō te teitei toharite o ngā ākonga katoa o te akomanga.
Heoi, he mea nui kia maumahara ko te toharite he tohu anake mēnā kāore ngā raraunga e pāngia e ngā uara tino nui, e ngā mea o waho rānei. I ngā āhuatanga kei roto i ngā raraunga ngā mea o waho, he pai ake pea te ine i te ia waenga mō te ia matua.
Ngā Painga me ngā Huakore o te Toharite
Te taikaha:
1. Māngai: Ka whakarato i tētahi tirohanga whānui pai mō te pokapū raraunga.
2. Ngāwari ki te tatau: He tauira māmā tēnei mō te tatau.
3. Whakamahia i roto i ngā tātaritanga tatauranga: He maha ngā wā ka honoa ki ētahi atu taputapu tātari pēnei i te rerekētanga me te whakatauira.
Te korenga:
1. Tairongo ki ngā mea o waho: Ka taea e ngā uara o waho te whakapohehe i te uara toharite.
2. Kāore e whakaata i te tohatoha raraunga: Ka taea e ngā huinga raraunga e rua te whai i te toharite kotahi, engari he rerekē ngā tohatoha.
Whakamutunga
He mehua tino whai hua te toharite i roto i ngā tatauranga hei whakaahua i te pokapū o tētahi huinga raraunga. Ko te whakamahi i te toharite i roto i ngā raraunga whakarōpū ko te tatau i te uara waenga o ia akomanga wā me te taumaha i runga i te auau o ia akomanga. Ahakoa he iti ngā herenga o te toharite, ko tētahi tonu o ngā taputapu tātari e whakamahia whānuitia ana i roto i te tukatuka raraunga. Mā te mārama ki te tatau me te whakamārama i te toharite ka āwhina i a koe ki te tātari me te whakatau tika ake i runga i ngā raraunga.
