Maitiro Ekuverenga Kutsauka Kwakajairwa
Kutsauka kwakajairwa inzira inoshandiswa zvakanyanya mukugadzirisa data. Nekuverenga kutsauka kwakajairwa, tinogona kuona kuti data rakasiyana kana kupararira sei kubva paavhareji kana avhareji. Muchinyorwa chino, tichakurukura maitiro ekuverenga kutsauka kwakajairwa zvakadzama kuitira kuti ugone kuishandisa mumamiriro akasiyana-siyana.
Kunzwisisa Kutsauka Kwakajairika
Kutsauka kwakajairwa chiratidzo chekuti data rinopararira kure sei kubva paavhareji. Kutsauka kwakajairwa kukuru kunoratidza kuti data rine huwandu hwakasiyana hwemakoshesi ari kure neavhareji, nepo kutsauka kudiki kunoratidza kuti data rinowirirana uye riri pedyo neavhareji.
Matanho ekuverenga Kutsauka Kwakajairwa: Nemaoko
Kuti tinzwisise mashandisirwo ekuverenga standard deviation, tichapfuura nematanho ekuverenga tichishandisa muenzaniso wedata uri nyore.
Semuenzaniso, tine data rinotevera: 10, 12, 23, 23, 16, 23, 21, 16
1. Kuverenga Avhareji (Avhareji)
Danho rekutanga nderekuverenga avhareji (avhareji) yedata riripo.
\[ \text{Mean} = \frac{\sum X}{N} \]
Dimana:
– \( \sum X \) ndiyo huwandu hwese hwe data.
– \( N \) ndiyo nhamba yedata.
Kuti uwane ruzivo rwedu:
\[ \text{Mean} = \frac{10 + 12 + 23 + 23 + 16 + 23 + 21 + 16}{8} \]
\[ \text{Mean} = \frac{144}{8} \]
\[ \text{Mean} = 18 \]
2. Kuverenga Musiyano kubva paAvhareji
Kana tawana avhareji, danho rinotevera nderekuverenga mutsauko uripo pakati pehuwandu hwedata rega rega neavhareji, wobva wabvisa (bvisa avhareji kubva padata rega rega).
Nhamba dzepakutanga dzedata: 10, 12, 23, 23, 16, 23, 21, 16
Musiyano kubva paAvhareji: (10-18), (12-18), (23-18), (23-18), (16-18), (23-18), (21-18), (16-18)
Musiyano kubva paAvhareji: -8, -6, 5, 5, -2, 5, 3, -2
3. Verenga Chikwere cheMusiyano
Danho rechitatu nderekuenzanisa musiyano wega wega watakaverenga.
Sikweya yemusiyano: (-8)^2, (-6)^2, (5)^2, (5)^2, (-2)^2, (5)^2, (3)^2, (-2)^2
Sikweya yemusiyano: 64, 36, 25, 25, 4, 25, 9, 4
4. Kuverenga Avhareji Yekukosha Kwemusiyano WemaSquared
Tevere, tichaverenga avhareji yemisiyano yemativi mana. Kuti tiite izvi, tinongoisanganisa pamwe chete toigovanisa nenhamba yemapoinzi edata.
\[ \text{Avhareji yemakwere emusiyano} = \frac{64 + 36 + 25 + 25 + 4 + 25 + 9 + 4}{8} \]
\[ \text{Avhareji yemakwere emusiyano} = \frac{192}{8} \]
\[ \text{Avhareji yemusiyano wemativi mana} = 24 \]
5. Kuverenga Mudzi weMean Square weMusiyano
Danho rekupedzisira nderekuverenga mudzi wechikwere weavhareji yemakwere emusiyano.
\[ \text{Standard Deviation} = \sqrt{24} \]
\[ \text{Standard Deviation} \inenge 4.9 \]
Maitiro Ekuverenga Kutsauka Kwakajairwa neExcel
Kunyange hazvo kuverenga standard deviation nemaoko kuchibatsira kunzwisisa pfungwa yacho, mukuita kwezuva nezuva, zvinobudirira kushandisa maturusi akaita seMicrosoft Excel. Excel inopa mabasa ekuverenga nhamba, kusanganisira kuverenga standard deviation kuri nyore.
1. Isa data: Isa data mukoramu imwe chete mupepa rebasa reExcel.
2. Kushandisa Basa reSTDEV: Shandisa basa reSTDEV. Sarudza koramu yedata nekunyora fomura `=STDEV(range)`. Semuenzaniso, kana data rako riri mumasero A1 kusvika kuA8, fomura yacho ndeye `=STDEV(A1:A8)`.
3. Wana Mhedzisiro: Mhedzisiro yekutsauka yakajairwa ichaonekwa musero rawakanyora fomura.
Dudziro yeStandard Deviation
Kana tapedza kuverenga chiyero chekuenzanisa, mubvunzo unotevera ndewokuti tinodudzira sei mhedzisiro yacho?
1. Kutsauka Kudiki Kwemuitiro
Kutsauka kudiki kunoratidza data rakafanana kana kuti rinowirirana kana tichienzanisa neavhareji. Semuenzaniso, mubhizinesi, kutsauka kudiki kudiki mumari inowanikwa pazuva kunoratidza kugadzikana kwemari inowanikwa.
2. Kutsauka Kukuru Kwakajairwa
Kusiyana neizvi, kutsauka kukuru kunoratidza data rakapararira zvakanyanya uye rakasiyana-siyana. Izvi zvinogona kuratidza kuchinja kukuru kana kusiyana kwedata. Mumamiriro edzidzo, kutsauka kukuru muzvibodzwa zvebvunzo dzevadzidzi kunoratidza kusawirirana kukuru mukunzwisisa kwevadzidzi.
Mhedziso
Kuverenga kutsauka kwakajairwa idanho rakakosha mukuongorora data, kuyera kusiyana kwedata uye kupa ruzivo rwakadzama mu data rakasiyana-siyana. Nekunzwisisa maitiro ekuverenga kutsauka kwakajairwa nemaoko uye kushandisa maturusi akaita seExcel, tinogona kuwana chivimbo chikuru mukutarisira nekuongorora data.
Zvakakosha kuyeuka kuti mamiriro ezvinhu ane basa guru mukutsanangura kusiyana kwemaonero. Saka, gara uchifungisisa kuti data iri rinomiririra chii uye kuti ringakanganisa sei sarudzo dzako.
Nekunzwisisa kwakasimba kwekuverenga nekududzira kutsauka kwakajairwa, unogona kuvandudza hunyanzvi hwako hwekuongorora data uye kuita sarudzo dziri nani zvichibva padata iroro.
