The apakatikati mu ziwerengero: lingaliro, katundu ndi mawerengedwe

Pofuna nalo lingaliro za ichi kapena icho chodabwitsa, ife zambiri ntchito mfundo pafupifupi. Iwo ntchito kuyerekeza mlingo malipiro kumabungwe osiyanasiyana a chuma, kutentha mvula pa gawo lawo pa mofanana nyengo, zokolola za mbewu m'madera osiyana Hrs, ndi zina zotero D. Komabe, pafupifupi si onse chizindikiro. - zina kuti adziwe molondola kwambiri wakudza monga mtengo apakatikati. Mu ziwerengero izo chimagwiritsidwa ntchito monga wothandiza makhalidwe ofotokoza kufalitsa mbali kwa anthu anapatsidwa. Tiyeni tiwone momwe kumasiyana ndi wankhanza, ndi chimene chinachititsa kufunika ntchito zake.

Apakatikati pa Ziwerengero: tanthauzo ndi katundu

Tangoganizirani mmene zinthu zotsatirazi: ndi olimba, pamodzi ndi woyang'anira anthu 10. ogwira ntchito wamba kulandira 1,000 USD, ndi mtsogoleri wawo yemwe Komanso ndi mwini, -. 10,000 USD. Ngati ife kuwerengera zikutanthauza masamu, likukhalira kuti malipiro pafupifupi pa mbewu wofanana 1900 UAH. Kodi mawu awa ndi oona? Kapena, kutenga chitsanzo yemweyo kuchipatala kuchipatala ndi inayi kuti 36,6 ° C kutentha ndi munthu amene ndi 41 ° C. Wapakati masamu mu nkhani iyi ndi (36,6 * 9 + 41) / 10 = 37,04 ° C. Koma zimenezi sizikutanthauza kuti aliyense mwa anthu amene akudwala. Zonsezi amatanthauza kuti sing'anga zambiri sikokwanira, ndicho chifukwa chake, kuwonjezera pa ntchito yake apakatikati. Mu ziwerengero chizindikiro iyi akutchedwa mwayi, limene lili ndendende pakati pa anatilamula mndandanda wa yofanana. Ngati ife kuwerengera kwa zitsanzo zathu, ife tikufika ankalemekeza 1000 UAH. ndi 36,6 ° C. M'mawu ena, ndi apakatikati pa ziwerengero ndi phindu kuti ukugawa chiwerengero mu theka kuti mbali zonse za izo (kapena pansi) zoti nambala yomweyo mayunitsi a akonzedwa anapatsidwa. Chifukwa cha chuma ichi, chizindikiro ichi ali maina angapo: ndi percentile 50 tili kapena quantile 0.5.

Kodi kupeza apakatikati mu ziwerengero

The njira ya mawerengedwe a mtengo uwu kumatengera mtundu wa mndandanda variational tili: a apawokha kapena imeneyi. Mbali yoyamba, TV ndi ziwerengero wosavuta. Onse inu muyenera kuchita ndi kupeza Uwerenge mafurikwense ndi, muchigawane mwa 2 ndipo onjezerani zotsatira za ½. Ndi bwino kufotokoza mfundo kuwerengetsa chitsanzo chotsatirachi. Tiyerekeze ife m'magulumagulu deta pa kubadwa ndi chofunika kuti apeze chomwe ndi apakatikati.

Zina kuwerengetsera yosavuta timapeza kuti chigawo chifunirocho ndicho: 195/2 + ½ = 98, i.e., 98 Baibulo. Pofuna kupeza chomwe izo zikutanthauza, pafupipafupi ayenera zonse kudziunjikira, kuyambira mungachite osachepera. Choncho, Uwerenge mizere iwiri yoyamba amatipatsa 30. Ndi bwino kuti pali 98 options kumeneko. Koma ngati ife kuwonjezera zotsatira za pafupipafupi njira wachitatu (70) timapeza ndalama wofanana 100. Ndi chabe 98 Ine zosinthika, kotero apakatikati ndi banja yemwe ali ndi ana awiri. Pamene chiwerengero cha imeneyi, pali zambiri ntchito mfundo zotsatirazi:

M _mauthenga = X + i _{Ine Ine} * (Σf / 2 - S _Ine-1) / f _Ine, m'mene:

• X _Ine - apakatikati mtengo wa imeneyi koyamba;
• Σf - chiwerengero cha mndandanda (Uwerenge mafurikwense a);
• Ine _Ine - apakatikati mtengo osiyanasiyana;
• f _Ine - apakatikati pafupipafupi osiyanasiyana;
• _{Ine-S 1} - Uwerenge mafurikwense chokhala m'magulu apafupi ndi apakatikati.

Kachiwiri, popanda chitsanzo apa ndi kovuta kumvetsa. Tiyerekeze tili deta pa mtengo wa malipiro.

Kugwiritsa ntchito mfundo pamwamba, choyamba tiyenera kudziwa imeneyi apakatikati. Monga osiyanasiyana amusankha, pafupipafupi chokhala ndi apamwamba kuposa theka pafupipafupi ndalama kapena kukhala wofanana. Choncho, nagawira 510 ndi 2, tikuona kuti muyezo izi limafanana ndi imeneyi kuchokera phindu malipiro a 250,000 rubles. mpaka rubles 300,000. Tsopano n'zotheka m'malo onse deta mu njira:

M _mauthenga = X + i _{Ine Ine} * (Σf / 2 - S _Ine-1) / f _Ine = 250 + 50 * (510/2 - 170) / 115 = 286.96 zikwi Pakani..

Tikukhulupirira Nkhani athu akhala othandiza, ndipo tsopano ndi lingaliro bwino zimene apakatikati mu ziwerengero ndiponso mmene ayenera kuchita masamu.