Me pēhea te tatau i te paerewa rerekētanga
Ko te paerewa rerekētanga he ine tatauranga e whakamahia whānuitia ana i roto i te tukatuka raraunga. Mā te tatau i te paerewa rerekētanga, ka taea e tātou te whakatau i te rerekētanga, te horapa rānei o ngā raraunga mai i te toharite, i te toharite rānei. I roto i tēnei tuhinga, ka matapakihia e tātou me pēhea te tatau i te paerewa rerekētanga kia taea ai e koe te whakamahi i roto i ngā āhuatanga rerekē.
Te Mārama ki te Paerewa Rerekētanga
Ko te paerewa rerekētanga he ine i te tawhiti o te horapa o ngā raraunga mai i te toharite. Ko te paerewa rerekētanga nui e tohu ana he whānui ngā uara o ngā raraunga kei tawhiti atu i te toharite, ko te paerewa rerekētanga iti ia e tohu ana he ōrite ake, he tata ake hoki ki te toharite.
Ngā Hipanga hei Tātai i te Paerewa Rerekētanga: Ā-ringa
Hei mārama ki te tatau mahi a te paerewa rerekētanga, ka tirohia ngā mahi tatau mā te whakamahi i tētahi tauira raraunga māmā.
Hei tauira, kei a mātou ēnei raraunga: 10, 12, 23, 23, 16, 23, 21, 16
1. Te Tātai i te Toharite (Toharite)
Ko te taahiraa tuatahi ko te tatau i te uara toharite (te toharite) o ngā raraunga o nāianei.
\[ \text{Toharite} = \frac{\tapeke X}{N} \]
Dimana:
– Ko te \( \sum X \) te tapeke o ngā uara raraunga katoa.
– Ko te \( N \) te maha o ngā raraunga.
Mō ā mātou raraunga:
\[ \text{Toharite} = \frac{10 + 12 + 23 + 23 + 16 + 23 + 21 + 16}{8} \]
\[ \text{Toharite} = \frac{144}{8} \]
\[ \text{Toharite} = 18 \]
2. Te Tātai i te Rerekētanga mai i te Toharite
Kia whiwhi tātou i te toharite, ko te mahi e whai ake nei ko te tatau i te rerekētanga i waenga i ia uara raraunga me te toharite, kātahi ka tangohia (tangohia te toharite mai i ia raraunga).
Ngā uara raraunga taketake: 10, 12, 23, 23, 16, 23, 21, 16
Rerekētanga mai i te Toharite: (10-18), (12-18), (23-18), (23-18), (16-18), (23-18), (21-18), (16-18)
Rerekētanga mai i te Toharite: -8, -6, 5, 5, -2, 5, 3, -2
3. Tātaihia te tapawhā o te rerekētanga
Ko te taahiraa tuatoru ko te whakapūrua i ia rerekētanga kua tatauhia e tātou.
Te tapawhā o te rerekētanga: (-8)^2, (-6)^2, (5)^2, (5)^2, (-2)^2, (5)^2, (3)^2, (-2)^2
Te tapawhā o te rerekētanga: 64, 36, 25, 25, 4, 25, 9, 4
4. Te Tātai i te Uara Toharite o te Rerekētanga Tapawhā
Muri iho, ka tatauhia e tātou te toharite o ngā rerekētanga tapawhā. Hei mahi i tēnei, ka tāpirihia ngātahitia, ka wehea mā te maha o ngā ira raraunga.
\[ \text{Te toharite o ngā tapawhā o ngā rerekētanga} = \frac{64 + 36 + 25 + 25 + 4 + 25 + 9 + 4}{8} \]
\[ \text{Te toharite o ngā tapawhā o ngā rerekētanga} = \frac{192}{8} \]
\[ \text{Te toharite o ngā rerekētanga tapawhā} = 24 \]
5. Te Tātai i te Pūtake o te Tapawhā Toharite o te Rerekētanga
Ko te taahiraa whakamutunga ko te tatau i te pūtake tapawhā o te toharite o ngā tapawhā o ngā rerekētanga.
\[ \text{Paerewa Rerekē} = \sqrt{24} \]
\[ \text{Paerewa Rerekētanga} \tata ki te 4.9 \]
Me pēhea te tatau i te paerewa rerekētanga me te Excel
Ahakoa he āwhina te tatau ā-ringa i te paerewa rerekētanga ki te mārama ki te ariā, i roto i ngā mahi o ia rā, he pai ake te whakamahi i ngā taputapu pēnei i a Microsoft Excel. Ka whakaratohia e Excel ngā mahi tatauranga, tae atu ki ngā tatau paerewa rerekētanga ngāwari.
1. Whakauru Raraunga: Whakauruhia ngā raraunga ki tētahi pou i roto i te pepa mahi Excel.
2. Te Whakamahi i te Mahi STDEV: Whakamahia te mahi STDEV. Tīpakohia he pou raraunga mā te pato i te tātai `=STDEV(range)`. Hei tauira, mēnā kei roto i ngā pūtau A1 ki A8 ō raraunga, ko te tātai ko `=STDEV(A1:A8)`.
3. Tikina ngā Hua: Ka puta ngā hua paerewa rerekētanga ki te pūtau i tuhia ai e koe te tātai.
Te Whakamārama i te Paerewa Rerekētanga
Kia oti te tatau i te paerewa rerekētanga te whakatau, ko te pātai e whai ake nei, me pēhea te whakamārama i ngā hua?
1. Paerewa Iti Iti
Ko te paerewa rerekētanga iti e tohu ana i te ōrite, te ōrite rānei o ngā raraunga e pā ana ki te toharite. Hei tauira, i roto i te pakihi, ko te paerewa rerekētanga iti o te moni whiwhi o ia rā e tohu ana i te pumau o te moni whiwhi.
2. Te Paerewa Rerekētanga Nui
I tetahi atu taha, ko te paerewa rerekētanga nui e tohu ana i te horapa whānui me te koretake o ngā raraunga. Tērā pea he tohu tēnei i ngā rerekētanga nui, i ngā rerekētanga rānei o ngā raraunga. I roto i te horopaki mātauranga, ko te paerewa rerekētanga nui o ngā kaute whakamātautau a ngā ākonga e tohu ana i ngā rerekētanga nui o te māramatanga o ngā ākonga.
Whakamutunga
He taahiraa nui te tatau i te paerewa rerekētanga i roto i te tātari raraunga, te ine i te rerekētanga me te whakarato i te māramatanga hōhonu ki ngā huinga raraunga kanorau. Mā te mārama ki te tatau ā-ringa i te paerewa rerekētanga me te whakamahi i ngā taputapu pēnei i a Excel, ka nui ake tō tātou maia ki te whakahaere me te tātari raraunga.
He mea nui kia maumahara he mea nui anō hoki te horopaki ki te whakamārama i te paerewa rerekētanga. Nō reira, whakaarohia tonutia te āhua o ngā raraunga me pēhea te awe i ō whakatau.
Mā te māramatanga pakari ki te tatau me te whakamārama i te paerewa rerekētanga, ka taea e koe te whakapai ake i ō pūkenga tātari raraunga me te whakatau pai ake i runga i aua raraunga.
