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Iindlela ezili-10 zokuNika iDatha ngeeNgcebiso ezi-5 ezintle zokuziqhelanisa, ziGqwesileyo ngo-2024

Iindlela ezili-10 zokuNika iDatha ngeeNgcebiso ezi-5 ezintle zokuziqhelanisa, ziGqwesileyo ngo-2024

Ukubonisa

Leah Nguyen 05 Apr 2024 11 min funda

Kukho iindlela ezahlukeneyo zokubonisa idatha, ngoko ke yeyiphi eyona ikufanelekele kakhulu? Ungagqiba ikruqula ukufakwaye ngasebenzi unikezelo lwedatha ngoku kunye ne-10 yethu iindlela zokubonisa idatha. Jonga imizekelo kubuchule ngabunye!

Ngaba ukhe wabonisa ingxelo yedatha kumphathi wakho/osebenza nabo/ootitshala becinga ukuba yinto entle kakhulu ngathi ungomnye we-cyber hacker ehlala kwi-Matrix, kodwa yonke into abayibonayo imfumba yamanani angatshintshiyo loo nto yayibonakala ingenanjongo yaye ingenangqiqo kubo?

Ukuqonda amadijithi yi ezinzima. Ukwenza abantu ukusuka imvelaphi engeyiyo yohlalutyoukuqonda loo manani kunzima ngakumbi.

Ungayicima njani loo manani abhidayo kwi iintlobo zonikezeloabanedayimani ecace gca? Ke, makhe sijonge eyona ndlela ilungileyo yokubonisa idatha. 💎

isishwankathelo

Zingaphi iindidi zeetshathi ezikhoyo ukubonisa idatha?7
Zingaphi iitshathi ezikhoyo kwizibalo?4, kubandakanywa ibha, umgca, i-histogram kunye nephayi.
Zingaphi iindidi zeetshathi ezikhoyo kwi-Excel?8
Ngubani owayila iitshathi?UWilliam Playfair
Zayilwa nini iitshathi?I18th Century
Isishwankathelo seeNdlela zokuNika iDatha

Isiqulatho

Iingcebiso ezingakumbi ngeAhaSlides

Isicatshulwa esinye


Qala ngemizuzwana.

Fumana nayiphi na le mizekelo ingentla njengeetemplate. Sayina simahla kwaye uthathe into oyifunayo kwilayibrari yetemplate!


🚀 Bamba iAkhawunti Yasimahla☁️

Ziziphi iiNdlela zokuNika iDatha?

Igama elithi 'umboniso wedatha' linxulumene nendlela onikezela ngayo idatha ngendlela eyenza ukuba kwanoyena mntu ungaqondiyo kwigumbi aqonde. 

Abanye bathi bubugqwirha (usebenzisa amanani ngandlela ithile), kodwa siya kuthi ngamandla ukuguqula amanani owomileyo, anzima okanye amanani abe ngumboniso obonakalayooko kulula ukuba abantu bakwetyise.

Ukunikezela ngedatha ngokuchanekileyo kunokunceda abaphulaphuli bakho baqonde iinkqubo ezintsonkothileyo, bachonge iintsingiselo, kwaye bachonge ngoko nangoko nantoni na eyenzekayo ngaphandle kokudinwa ubuchopho babo.

Ukuboniswa kakuhle kwedatha kuyanceda…

  • Yenza izigqibo ezizizokwaye ukufikelela kwiziphumo ezilungileyo. Ukuba ubona intengiso yemveliso yakho ikhula ngokuthe chu kuyo yonke le minyaka, kungcono ukuba uqhubeke uyisenga okanye uqale ukuyijika ibe sisipha se-spin-offs (ikhwaza i-Star Wars👀).
  • Nciphisa ixesha elichithwe ekusetyenzweni kwedatha. Abantu bayakwazi ukwetyisa ulwazi ngokwegraphic Amaxesha angama-60,000 ngokukhawulezakunokuba kuhlobo lwesicatshulwa. Banike amandla okukhangela ishumi leminyaka ledatha ngemizuzu kunye neegrafu ezineziqholo ezongezelelweyo kunye neetshathi.
  • Zichaze ngokucacileyo iziphumo. Idatha ayixoki. Zisekwe kubungqina obuyinyani kwaye ke ukuba nabani na uhlala encwina ukuba unokuba uphosakele, mbethe ngedatha enzima ukugcina imilomo yabo ivaliwe.
  • Yongeza okanye wandise uphando lwangoku. Uyakwazi ukubona ukuba zeziphi iindawo ezifuna ukuphuculwa, kunye nokuba zeziphi iinkcukacha ezihlala zingaqatshelwa ngelixa usefa kwimigca emincinci, amachaphaza okanye ii-icon ezivela kwibhodi yedatha.

Iindlela zokuNika iDatha kunye neMizekeliso

Khawufane ucinge ukuba unepepperoni emnandi, ipizza yetshizi eyongezelelweyo. Ungagqiba ekubeni uyinqumle ibe yiklasikhi yesi-8 sikanxantathu izilayi, isimbo sepati izilayi ezili-12 zesikweri, okanye wenze uyilo kunye ne-abstract kwezo zilayi. 

Kukho iindlela ezahlukeneyo zokusika i-pizza kwaye ufumana iindidi ezifanayo kunye nendlela obonisa ngayo idatha yakho. Kweli candelo, siya kukuzisa iindlela ezili-10 zoku qhekeza ipizza– sithetha ukuba bonisa idatha yakho– oko kuya kwenza eyona asethi ibalulekileyo yenkampani yakho icace njengemini. Masingene kwiindlela ezili-10 zokubonisa idatha ngokufanelekileyo.

#1 – Itheyibhile 

Phakathi kweentlobo ezahlukeneyo zokubonisa idatha, i-tabular yeyona ndlela isisiseko, kunye nedatha enikezelwe kwimiqolo kunye neekholamu. I-Excel okanye iGoogle Sheets ingawufanelekela lo msebenzi. Akukho nto intle.

Itheyibhile ebonisa utshintsho kwingeniso phakathi konyaka ka-2017 no-2018 eMpuma, eNtshona, eMntla, naseMazantsi
Iindlela zokubonisa idatha – Iindlela zokuNika iDatha – Umthombo womfanekiso: BenCollins

Lo ngumzekelo wenkcazo yetheyibhuli yedatha kuMashidi kaGoogle. Umqolo ngamnye kunye nekholomu inempawu (unyaka, ummandla, ingeniso, njl.), kwaye unokwenza ifomathi yesiko ukuze ubone utshintsho kwingeniso unyaka wonke.

#2 – Umbhalo

Xa unikezela ngedatha njengesicatshulwa, konke okwenzayo kukubhala iziphumo zakho phantsi kwimihlathi kunye namanqaku eebhulethi, kwaye yiloo nto. Iqhekeza lekhekhe kuwe, i-nut enzima ukuba iqhekeze nabani na omele ahambe kuyo yonke into yokufunda ukuze afike kwinqanaba.

  • I-65% yabasebenzisi be-imeyile kwihlabathi jikelele bafikelela kwii-imeyile zabo ngesixhobo esiphathwayo.
  • Ii-imeyile ezilungiselelwe iselula zivelisa i-15% ephezulu yokucofa-ngokusebenzisa amazinga.
  • I-56% yeempawu ezisebenzisa i-emojis kwimigca yesihloko se-imeyile zinezinga eliphezulu elivulekileyo.

(Imvelaphi: CustomerThermometer)

Zonke ezi ngcaphuno zingasentla zibonisa iinkcukacha-manani ngokombhalo. Kuba baninzi abantu abathanda ukuhamba eludongeni lwezicatshulwa, kuya kufuneka ucinge enye indlela xa uthatha isigqibo sokusebenzisa le ndlela, njengokuqhekeza idatha ibe yinkcazo emfutshane, ecacileyo, okanye njengeepuni ezibambekayo ukuba unayo. ixesha lokucinga ngabo.

#3 - Itshathi yephayi

Itshathi yephayi (okanye 'itshathi yedonut' ukuba uncamathelisa umngxuma embindini wayo) isangqa esahlulwe ngokwezilayi ezibonisa ubungakanani bedata ngaphakathi ngokupheleleyo. Ukuba uyisebenzisela ukubonisa iipesenti, qiniseka ukuba zonke izilayi zongeza ukuya kwi-100%.

Iindlela zokubonisa idatha
Iindlela zokuNika iDatha – umthombo womfanekiso: IAhaSlides

Itshathi yephayi bubuso obuqhelekileyo kuwo onke amatheko kwaye idla ngokubonwa ngabantu abaninzi. Nangona kunjalo, umva omnye wokusebenzisa le ndlela amehlo ethu ngamanye amaxesha akakwazi ukubona umahluko kwizilayi zesangqa, kwaye phantse akunakwenzeka ukuthelekisa izilayi ezifanayo kwiitshathi ezimbini zeepayi ezahlukeneyo, uzenze. abangendawoemehlweni abahlalutyi bedatha.

itshathi yephayi etyiwe ngesiqingatha
Iindlela zokuNika iDatha – umthombo womfanekiso: IdathaVis.ca

Umzekelo webhonasi: Itshati 'yephayi' yoqobo! 🥧

#4 - Ibha tshathi

Itshathi yebha yitshathi ebonisa iqela lezinto ezisuka kudidi olufanayo, ngokuqhelekileyo ngendlela yeebar ezixande ezibekwe kumgama olinganayo omnye komnye. Ubude okanye ubude bazo bubonisa amaxabiso amele wona.

Zinokuba lula ngolu hlobo:

umzekelo olula wetshathi yebha
Iindlela zokubonisa idatha kumanani-Iindlela zokuNika iDatha-Umthombo womfanekiso: ukuqhwanyaza

Okanye intsonkothe ​​ngakumbi kwaye ineenkcukacha njengalo mzekelo wokuboniswa kwedatha. Igalelo kunikezelo lwamanani olusebenzayo, le yitshathi yebha ehlanganisiweyo engavumeli nje ukuba uthelekise iindidi kodwa namaqela angaphakathi kuwo ngokunjalo.

umzekelo wetshathi yebha edibeneyo
Iindlela zokuNika iDatha – umthombo womfanekiso: ukuqhwanyaza

#5 - Histogram

Ngokufanayo ngenkangeleko kwitshathi yebha kodwa imivalo yoxande kwiihistograms ayisoloko inesikhewu njengabalingane bazo.

Esikhundleni sokulinganisa iindidi ezifana nokukhethwa kwemozulu okanye iifilimu ezizithandayo njengoko itshathi yebha isenza, i-histogram ilinganisa kuphela izinto ezinokufakwa kumanani.

umzekelo wetshathi ye-histogram ebonisa ukuhanjiswa kwamanqaku abafundi kuvavanyo lwe-IQ
Iindlela zokunikwa kweDatha 0 Umthombo wesithombe: SPSS Tutorials

Ootitshala banokusebenzisa iigrafu zokubonisa njenge-histogram ukubona ukuba leliphi iqela lamanqaku uninzi lwabafundi abawela kulo, njengakulo mzekelo ungasentla.

#6 - Igrafu yomgca

Ukurekhodwa kwiindlela zokubonisa idatha, akufuneki singakuhoyi ukusebenza kwemigca yegrafu. Iigrafu zomgca zimelwe liqela lamanqaku edatha adityaniswe kunye ngomgca othe ngqo. Kunokubakho umgca omnye okanye ngaphezulu ukuthelekisa indlela izinto ezininzi ezinxulumeneyo ezitshintsha ngayo ngokuhamba kwexesha. 

umzekelo wegrafu yomgca ebonisa inani labantu beebhere ukusuka kwi-2017 ukuya kwi-2022
Iindlela zokuNika iDatha – umthombo womfanekiso: Excel Easy

Kumgca othe tye wetshati, udla ngokuba nemibhalo, imihla okanye iminyaka, ngelixa i-axis ethe nkqo idla ngokumela ubungakanani (umz.: uhlahlo lwabiwo-mali, ubushushu okanye ipesenti).

#7 - Igrafu yePictogram

Igrafu ye-pictogram isebenzisa imifanekiso okanye ii-iyikhoni ezinxulumene nesihloko esiphambili ukujonga isethi yedatha encinci. Indibaniselwano eyonwabisayo yemibala kunye nemifanekiso yenza ukuba isetyenziswe rhoqo ezikolweni.

Uyenza njani iiPictographs kunye ne-Icon Arrays kwi-Visme-6 umenzi wemifanekiso
Iindlela zokuNika iDatha – umthombo womfanekiso: Ukutyelela

Iipictograms zingumoya womoya omtsha ukuba ufuna ukuhlala kude netshathi yomgca we-monotonous okanye i-bar chart okwethutyana. Nangona kunjalo, banokubonisa inani elilinganiselweyo ledatha kwaye ngamanye amaxesha balapho kuphela kwimiboniso kwaye abameli izibalo zokwenyani.

#8 - itshathi yerada

Ukuba ukunikezela ngezinto eziguquguqukayo ezintlanu okanye ngaphezulu ngohlobo lwetshathi yebha kuxinene kakhulu kufuneka uzame ukusebenzisa itshathi yerada, eyenye yeendlela zokuyila zokubonisa idatha.

Iitshathi zeRadar zibonisa idatha ngokubhekiselele kwindlela ezithelekisa ngayo enye ukusuka kwindawo enye. Abanye bakwazibiza ngokuba 'ziitshathi zesigcawu' kuba inkangeleko nganye idityanisiwe ibonakala ngathi yindlu yesigcawu.

itshati yerada ebonisa amanqaku esicatshulwa phakathi kwabafundi ababini
Iindlela zokuNika iDatha – umthombo womfanekiso: GrapeCity

Iitshathi zeRadar zinokuba lusetyenziso olukhulu kubazali abangathanda ukuthelekisa amabakala omntwana wabo kunye noontanga ukuze banciphise ukuzithemba kwabo. Uyabona ukuba i-angular nganye imele isifundo esinamanqaku anexabiso elisusela ku-0 ukuya kwi-100. Amanqaku omfundi ngamnye kwizifundo ezi-5 aphawulwe ngombala owahlukileyo.

itshathi yerada ebonisa ukuhanjiswa kwamandla ePokemon
Iindlela zokuNika iDatha – umthombo womfanekiso: Mna okuninzi

Ukuba ucinga ukuba le ndlela yonikezelo lwedatha ngandlela thile ivakala iqhelekile, mhlawumbi ukhe wadibana nayo ngelixa udlala. Lines.

#9 - Imephu yobushushu

Imephu yobushushu ibonisa ukuxinana kwedatha ngemibala. Ukuba likhulu inani, umbala ubukhali ngakumbi ukuba idatha iya kumelwa.

imaphu yobushushu ebonisa iivoti zonyulo phakathi kwelizwe phakathi kwabagqatswa ababini
Iindlela zokuNika iDatha – umthombo womfanekiso: Nayiphi na iTshati

Uninzi lwabemi base-US baya kuqhelana nale ndlela yokubonisa idatha kwijografi. Kunyulo, iindawo ezininzi zeendaba zinika ikhowudi yombala othile kwilizwe, kunye neblue emele umgqatswa omnye kwaye obomvu umele omnye. Umthunzi wombala oluhlaza okwesibhakabhaka okanye obomvu kwilizwe ngalinye ubonisa amandla evoti iyonke kwelo lizwe.

imaphu yobushushu ebonisa ukuba zeziphi iindawo iindwendwe ezicofa kuzo kwiwebhusayithi
Iindlela zokuNika iDatha – umthombo womfanekiso: B2C

Enye into entle onokuthi usebenzise imephu yobushushu kukwenza imephu ukuba zeziphi iindwendwe kwindawo yakho zicofa kuyo. Okukhona icandelo elithile licofa ngakumbi 'kushushu' umbala uyakujika, ukusuka eluhlaza okwesibhakabhaka ukuya kumthubi oqaqambileyo ukuya kobomvu.

#10 - Ukusasaza iploti

Ukuba unikezela ngedatha yakho kumachaphaza endaweni yee-chunky bar, uya kuba neploti yokuchithachitha. 

Iploti yokuchithachitha yigridi enamagalelo amaninzi abonisa unxulumano phakathi kwezinto ezimbini eziguquguqukayo. Kuhle ekuqokeleleni idatha ebonakala ngathi ayinamkhethe kwaye iveze ezinye iindlela ezixelayo.

umzekelo wokuchithachitha ubonisa ubudlelwane phakathi kweendwendwe zaselwandle suku ngalunye kunye nobushushu bemihla ngemihla
Iindlela zokuNika iDatha – umthombo womfanekiso: CQE Academy

Umzekelo, kule grafu, ichaphaza ngalinye libonisa i-avareji yobushushu bemihla ngemihla ngokuchasene nenani labatyeleli elwandle kwiintsuku ezininzi. Uyabona ukuba amachaphaza aya phezulu njengoko iqondo lobushushu lisanda, ngoko kusenokwenzeka ukuba imozulu eshushu ikhokelele kubatyeleli abaninzi.

Iimpazamo ezi-5 zokuBonelelwa kweDatha ekufuneka uzigweme

#1 -Cinga ukuba abaphulaphuli bakho bayakuqonda ukuba amanani amele ntoni

Unokwazi zonke izinto ezingemva kwedatha yakho ukusukela oko usebenze nabo iiveki, kodwa abaphulaphuli bakho abazi.

ibhodi yedatha yokuthengisa evela kwi-Locker
Ngaba uqinisekile ukuba abantu abavela kumasebe ahlukeneyo afana neNtengiso okanye iiNkonzo zabaThengi banokuqonda iBhodi yakho yeDatha yeNtengiso? (umthombo womfanekiso: Jonga)

Ukubonisa ngaphandle kokuxela kuphela kumema imibuzo emininzi nangakumbi kubaphulaphuli bakho, njengoko kufuneka bahlale benentsingiselo yedatha yakho, bechitha ixesha lamacala omabini ngenxa yoko.

Ngelixa ubonisa unikezelo lwedatha yakho, kuya kufuneka ubaxelele ukuba ithini idatha ngaphambi kokuba ubabethe ngamaza amanani kuqala. Ungasebenzisa imisebenzi interactivenjenge ukuvota, Ilifu lamafu, Imibuzo ekwi-intanethikwaye Amacandelo e-Q&A, Idityaniswe ne imidlalo yokuqhekeza umkhenkce, ukuvavanya ukuqonda kwabo idatha kunye nokujongana naluphi na ukudideka kwangaphambili.

#2 - Sebenzisa uhlobo olungalunganga lwetshathi

Iitshathi ezifana neetshathi zepayi kufuneka zibe ne-100% iyonke ke ukuba amanani akho aqokelelana ukuya kutsho kwi-193% njengalo mzekelo ungezantsi, ngokuqinisekileyo uyenza kakubi.

umzekelo ombi wokusebenzisa itshathi yepayi kwi-2012 yomongameli
Iindlela zokuNika iDatha-  Esinye sezizathu zokuba kutheni ingenguye wonke umntu ofanele ukuba ngumhlalutyi wedatha👆

Ngaphambi kokwenza itshati, zibuze: yintoni endifuna ukuyifeza ngedatha yam? Ngaba uyafuna ukubona ubudlelwane phakathi kweeseti zedatha, ubonise ukunyuka nokuhla kwedatha yakho, okanye ubone indlela amacandelo ento enye enza ngayo yonke?

Khumbula, ukucaca kusoloko kuza kuqala. Ezinye iimboniselo zedatha zinokujongeka zipholile, kodwa ukuba aziyingeni idatha yakho, zikhwebule kuzo. 

#3 – Yenze ibe yi-3D

I-3D ngumzekelo onomdla womzobo. Umlinganiselo wesithathu upholile, kodwa ugcwele umngcipheko.

Iindlela zokuNika iDatha – umthombo womfanekiso: ILab yemvelaphi

Ngaba uyayibona into esemva kwaloo mivalo ibomvu? Kuba nathi asinakukwazi. Unokucinga ukuba iitshathi ze-3D zongeza ubunzulu obungakumbi kuyilo, kodwa zinokwenza iimbono zobuxoki njengoko amehlo ethu ebona izinto ze-3D ezikufutshane kwaye ezinkulu kunokuba zibonakala, singasathethi ke ukuba azinakubonwa kwii-angles ezininzi.

#4 -Sebenzisa iintlobo ezahlukeneyo zeetshathi ukuthelekisa imixholo yodidi olufanayo

Iindlela zokuNika iDatha – umthombo womfanekiso: Iinkcaso

Oku kufana nokuthelekisa intlanzi nenkawu. Abaphulaphuli bakho abayi kukwazi ukuchonga umahluko kwaye benze ulungelelwaniso olufanelekileyo phakathi kweeseti ezimbini zedatha. 

Kwixesha elizayo, ncamathela kuhlobo olunye lonikezelo lwedatha kuphela. Gwema isilingo sokuzama iindlela ezahlukeneyo zokubonwa kwedatha ngexesha elinye kwaye wenze idatha yakho ifikeleleke ngokusemandleni.

#5 - Bomba abaphulaphuli ngolwazi oluninzi kakhulu

Injongo yonikezelo lwedatha kukwenza izihloko ezintsonkothileyo zibe lula ukuqondwa, kwaye ukuba uzisa ulwazi oluninzi kakhulu etafileni, uphosa inqaku.

unikezelo lwedatha oluntsonkothileyo olunolwazi oluninzi kakhulu kwiscreen
Iindlela zokuNika iDatha – umthombo womfanekiso: Institute Marketing Marketing Institute

Ulwazi oluninzi olunikayo, kokukhona kuya kuthatha ixesha elininzi kubaphulaphuli bakho ukuba bayiqhube yonke. Ukuba ufuna ukwenza idatha yakho iqondeke kwaye nika abaphulaphuli bakho ithuba lokuyikhumbula, gcina ulwazi olungaphakathi kuyo luncinci kakhulu. Kuya kufuneka usete iseshoni yakho kunye imibuzo evulekileyo, ukuphepha ukunxibelelana okufileyo!

Zeziphi ezona ndlela zilungileyo zokunikwa kweDatha?

Okokugqibela, yeyiphi eyona ndlela yokubonisa idatha?

Impendulo ngu…

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Akho 😄 Uhlobo ngalunye lweprezenteyishini lunamandla kunye nobuthathaka bayo kwaye leyo oyikhethayo kakhulu ixhomekeke kwinto ozama ukuyenza. 

Umzekelo:

  • Yiya kwi icebo lokuchithachitha ukuba uphonononga ubudlelwane phakathi kwamaxabiso edatha ahlukeneyo, njengokubona ukuba intengiso ye-ayisikrimu iyenyuka ngenxa yobushushu okanye ngenxa yokuba abantu besiya belamba ngakumbi kwaye babawa suku ngalunye?
  • Yiya kwi igrafu yomgcaukuba ufuna ukuphawula intsingiselo ekuhambeni kwexesha.  
  • Yiya kwi imephu yobushushuukuba uthanda ukubonwa okumnandi kotshintsho kwindawo yejografi, okanye ukubona indlela abatyeleli bakho abaziphatha ngayo kwiwebhusayithi yakho.
  • Yiya kwi ipayi chart (ingakumbi kwi3D) ukuba ufuna ukukhutshelwa ngabanye kuba zange ibengumbono olungileyo👇
umzekelo wendlela itshathi yephayi embi emele ngayo idatha ngendlela enzima
Iindlela zokuNika iDatha – umthombo womfanekiso: Olga Rudakova
Qokelela izimvo kunye neengcinga zabathathi-nxaxheba emva kwenkcazo-ntetho yakho ngeengcebiso ezisuka kwi-AhaSlides.

Imibuzo ebuzwa qho

Yintoni umboniso wetshathi?

Umboniso wetshathi yindlela yokubonisa idatha okanye ulwazi usebenzisa izinto ezibonwayo ezifana neetshathi, iigrafu, kunye nedayagram. Injongo yokubonisa itshathi kukwenza ulwazi oluntsonkothileyo lufikeleleke ngakumbi kwaye luqondeke kubaphulaphuli.

Ndingazisebenzisa nini iitshathi xa ndisenza umboniso?

Iitshathi zingasetyenziselwa ukuthelekisa idatha, ukubonisa iintsingiselo ngokuhamba kwexesha, ukugqamisa iipateni, kunye nokwenza lula ulwazi oluntsonkothileyo.

Kutheni le nto kufuneka kusetyenziswe iitshati xa kusenziwa intetho?

Kuya kufuneka usebenzise iitshathi ukuqinisekisa ukuba imixholo yakho kunye nezinto ezibonakalayo zibukeka zicocekile, njengoko zingabameli ababonakalayo, zibonelela ngokucaca, ukulula, ukuthelekisa, ukuchasanisa kunye nokonga ixesha elikhulu!

Zeziphi iindlela ezi-4 zegraphical zokubonisa idatha?

I-Histogram, igrafu yefrikhwensi egudisiweyo, idayagram yePie okanye itshathi yePie, Cumulative okanye ogive frequency graph, kunye Frequency Polygon.