Tambayoyi Misali Game da Matsayin Matsakaici da Yanayin Bayanan Rukuni
A cikin kididdiga, matsakaici da yanayi sune ma'auni guda biyu masu matuƙar muhimmanci na yanayin tsakiya. A cikin wannan labarin, za mu tattauna azuzuwan matsakaici da yanayi dalla-dalla a cikin mahallin bayanan da aka haɗa, gami da misalai da yawa na matsaloli don taimaka muku fahimtar juna.
Fahimtar Matsakaici da Yanayin
Median
Matsakaicin shine matsakaicin ƙimar saitin bayanai lokacin da aka tsara bayanai. A cikin mahallin bayanan da aka haɗa, matsakaicin shine aji wanda ya raba bayanan zuwa sassa biyu daidai.
yanayin
Yanayin shine ƙimar ko aji wanda ya fi bayyana a cikin saitin bayanai. Ga bayanan da aka haɗa rukuni, yanayin shine aji mai mafi girman mita.
Lissafi na Matsakaicin da Yanayin Aji na Bayanan Rukuni
Median
Domin tantance matsakaicin bayanai a cikin rukunoni, matakan da ake buƙatar ɗauka sune kamar haka:
1. Lissafa yawan tarawa (F).
2. Ƙayyade matsakaicin matsayi ta amfani da dabarar:
\[
\text{Matsayi Tsakanin} = \frac{n + 1}{2}
\]
Inda n shine adadin bayanai.
3. Gano matsakaicin aji, wato aji inda matsakaicin matsayi yake.
4. Yi amfani da dabarar matsakaici don bayanan da aka haɗa a rukuni:
\[
\text{Matsakaici} = L + \left( \frac{\frac{n}{2} – F}{f} \right) \times c
\]
- L shine ƙananan iyaka na matsakaicin aji.
– F shine yawan tarawa kafin matsakaicin aji.
– f shine mitar matsakaicin aji.
– c shine tsawon tazara ajin.
yanayin
Don tantance yanayin da ke cikin bayanan da aka tattara, matakan da ake buƙatar ɗauka sune:
1. Gano ajin yanayin, wato ajin da ke da mafi girman mita.
2. Yi amfani da dabarar yanayi don bayanan da aka haɗa a rukuni:
\[
\text{Yanayi} = L + \left( \frac{d_1}{d_1 + d_2} \right) \times c
\]
- L shine ƙananan iyaka na yanayin aji.
– \(d_1\) shine bambanci tsakanin mitar ajin yanayi da ajin da ya gabata.
– \(d_2\) shine bambanci a mita tsakanin ajin yanayi da ajin na gaba.
– c shine tsawon tazara ajin.
Tambayoyi da Tattaunawa Samfura
Misali Tambaya ta 1: Matsakaicin
Ga yadda sakamakon jarrabawar lissafi ya kasance ga ɗalibai 40:
| Darajar | Mita (f) |
|————-|——————|
| 50 – 59 | 5 |
| 60 – 69 | 10 |
| 70 – 79 | 15 |
| 80 – 89 | 7 |
| 90 – 99 | 3 |
Domin ƙididdige matsakaicin, da farko za mu ƙididdige adadin bayanai (n):
\[
n = 5 + 10 + 15 + 7 + 3 = 40
\]
Matsayin matsakaici:
\[
\text{Matsayi na Tsakiya} = \frac{40 + 1}{2} = 20.5
\]
Na gaba, za mu ƙididdige yawan tarawa:
| Darajar | Mita (f) | Mita Mai Tarawa (F) |
|————-|————————|——————————-|
| 50 – 59 | 5 | 5 |
| 60 – 69 | 10 | 15 |
| 70 – 79 | 15 | 30 |
| 80 – 89 | 7 | 37 |
| 90 – 99 | 3 | 40 |
Matsakaicin matsayi (20.5) yana cikin ajin 70 - 79.
Muna amfani da dabarar matsakaici:
– L = 70 (ƙasa da matsakaicin aji)
– F = 15 (mita na jimla kafin matsakaicin aji)
– f = 15 (matsakaicin mitar aji)
– c = 10 (tazara ajin)
\[
\text{Matsakaicin} = 70 + \left( \frac{\frac{40}{2} – 15}{15} \right) \times 10 = 70 + \left( \frac{20 – 15}{15} \right) \times 10 = 70 + \left( \frac{5}{15} \right) \times 10 = 70 + 3.33 = 73.33
\]
Saboda haka, matsakaicin bayanai shine 73.33.
Misali Tambaya ta 2: Yanayi
Ga yadda aka rarraba bayanai kan sakamakon tallace-tallace na samfura daga shago na tsawon mako guda:
| Adadin raka'o'in da aka sayar | Mita (f) |
|——————–|——————|
| 10 – 19 | 3 |
| 20 – 29 | 7 |
| 30 – 39 | 12 |
| 40 – 49 | 5 |
| 50 – 59 | 3 |
Don nemo yanayin:
– Ajin yanayi shine 30 – 39 (mafi girman mita = 12).
– L = 30 (ƙasa da iyaka na yanayin aji).
– \(d_1 = 12 – 7 = 5\) (mitar aji na yanayi – mitar aji na baya).
– \(d_2 = 12 – 5 = 7\) (mita na yanayin aji – mita na aji na gaba).
– c = 10 (tazara ajin).
Muna amfani da tsarin yanayin:
\[
\text{Yanayi} = 30 + \left( \frac{5}{5 + 7} \right) \times 10 = 30 + \left( \frac{5}{12} \right) \times 10 = 30 + 4.17 = 34.17
\]
Don haka, yanayin bayanai shine 34.17.
Kammalawa
Fahimtar yadda ake ƙididdige matsakaicin da yanayin bayanai a cikin bayanan da aka haɗa rukuni ƙwarewa ce mai mahimmanci a cikin ƙididdiga. Matsakaicin yana ba mu ƙimar tsakiya ta bayanai, yayin da yanayin yana ba mu ƙimar ko aji mafi yawan faruwa. Ta hanyar bin matakan da amfani da dabarun da aka bayyana a sama, zaku iya tantance waɗannan ma'auni guda biyu na yanayin tsakiya daga bayanan da aka haɗa rukuni cikin sauƙi.
Ta hanyar misalan da aka tattauna, ana sa ran masu karatu za su fahimci ra'ayi da kuma amfani da yanayin tsakiya a cikin bayanan da aka haɗa. Don ƙarin bayanai masu rikitarwa ko rarraba mita mai tsawo, ana iya amfani da ƙa'idodi iri ɗaya daidai. Yi amfani da ƙarin matsaloli don ƙarfafa fahimtarka da ƙwarewar nazari a cikin ƙididdiga.
