Statistics (mean, median), Lecture notes of Mathematics

These are simplified statistics notes mostly JEE and 12th students can use if they want to take these easy marks... This pdf covers all the things required with details..

Typology: Lecture notes

2024/2025

Available from 10/20/2025

Anuj.awalgaonkar
Anuj.awalgaonkar 🇮🇳

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Rule Et 3) S122" (x) Roe Caleulaton of Anitewe te (0 ye Simple alata 8 7 thaw bey Xo 1 ASr > yXn Oe tm! observatrors —_—_ aetna trate - +% 4 guna, of obsonetiee a= n no. of obsenvattorg . Ctra) OM n ° ee tot n By Fr lS ls F, a find He mee Bt eHIStI EA BF =F a a ae _ -- -~~=~~7~ ~w~wwewwreoweowrowvwveweweweWveeuUveeuUVveeueeUeYe Vv &o] Y i Rt Fiv v al to d vu) 7 Qe oY nace On oe OG the Wcqgue i € @ . LUAgocoe od dala wuauifte A aud be fort Let obsocvation oy has aie 2 oe AEG a ¢ fatat - a a fous Lb ad yor +] Hsia fon’ aftr fet fetat ~ = + fn, = fit fat ft - yn > four stat (ed _ 1 B ~ ON aa (= n -phuw Ne = Fe 7 fel B.4 a | fe? $70 [ z | 6 {ao x a, {0 £0 q ID qo D | + fe lo | 8 12D = & Give Tie Ala ¢ prs flo 5 fr 3/8/3128 ri ; Sf az 6 Hue find fle pal ¢ p. GINS ps Pe Xt f text , 2/3 | 4 Z=%= E fr 4 oe 8 SH 6 3 | 789 = Sate T Td p45 | A laPtio {6-82 op 40 | £ | 1d = Efrelt Etm= bat op pzt 1 (> souped ala witb Lee? ) Dock meted cow BL HA 2, XS) ~~ FO ane Hid wae amon ) a los anten - re) > X= at ( Direct mettod ) {2 “D>: z tt {= aay. dale Un Q:- find Ley vaeoe of FOU il 0 al fo4, ay Fj.y o-10 | 3 e 1S [nade 15 |e 4030 it a8 AS 70-40 Jt 5. BOF Ao-%) § | 45s >| 70 Ae: find the wreau ef thu a a olata . | make Fo -J0 | do-3D | ga -4o] 40-5? 50-60 | 60-78 —_ wee elt 1 maiks 1 2° au? | dfaaAy Fiod” [o-40 | 2 1S - 30} —bd go-30|] 3g RD) -26 | —60 go-to} a | 8s -lo | ~80 4o-50| /Y Ag)=A| © 0 60-Fo] 8 65 Ad 60 Fo-89} 9 75" 30 6d Zt= 4p zt dézd go At SHE - ~~ ~~~ T= wTwwrwwuevewwvwewvwvvevewwwewewewewveweweweeweweweweeerw yr A= Astumed mrearr wis wtt dowat ow ( stip dauiation ) ty = ali. = au —A a ae ah power bet AS Lapp OF hu _ ve ° alos moik. HL = a ae 2 cower paleuta ow Ts = wretho pero ~ as and — ; 6 3? A. uta = ae urea) y — = tem 2 ZH - ot 2 ZF, ZH = 2 gi(eu FEES =t a as ere ~ —=o + a ® = 4 hte Dyke = fel b pocins (=e z—wvewwewewerevewvwuvevwowvVvuVvuUuUuUuUuUwvevrmuvrlmuvrCUvrUmeTmcaevmUummTCmULUmTmU TCU UOT eTmhUC Tre FreFrOVrl rl wr 3 WY pWeHat-- + Wn Ln woiesty Aw = - PA wy FW gt ~ + - FW n Swe fey Qe Find He wtelglitect Mm eave oF fat in’ nowr4 mumdrd wl Hay oUelphty GL apt piece sal asain epee om IY) @ Sens - Hh. 7 ded an a2 a enent —_ pee abe -. pnb =— 2 2 Le ¢aot -- en = (nin) 3n(nti) = SCEDICEEY ~ & (ant) 4 Rule | comcbinat mien 3 got Ky amd Ky ome mesa of i selatd datas baring nr aud ng by — DbsSULV AHONS thar wourbinedk mica b giver al = nlx + nak gn = Vay Nar. mi¥na 6 @ for Howe selated cates @ sombind mea se ae Py — — nia} + nary + 3X3 - ae niet ngtng c ire The vee uuerght of 150 powers PeeeG, mae et mea arial df ma wn He Tol awe feat of L wave Salof mu or a mew and ULomUts kO)Ne- = &O} ei det no- of mem oN; } aAl+tng=!F0 let no. oP Blomet= ng and = xX = 60 j Ay = FO 3 4g 25S = Ry. nau a= apni +t NAary nitna 150 fox 50 = 1Sn, £15 0% 59 15 . (b0-55) 2. SO l Ni = ngz 150-N1 = 150 - 5D = 10° pug. © facourw oF O& 950 oO. © ma ; Bs Toe mane Secret ST eel of polo pe Rp- 4o eae alk the : op ens Ft ga lf ’ iw the gen — Ny), GH, A= 1X, + MLXQ n1p4+ng 430 2 n-4oo + NQ+480 [_ aiviee i a) oh MMA NTO v) 2. Asoz 4oot sh 480 ; _ > a f+ Pt ne 3 ms fr a a a a a a aa a a a a a aa aa a a Lo We diatt —————— WTediiaw ms Hw iia > ; °F Hue olata ants of mPddia most obsescvattow ® Calculation of mediaw T o 0) fe cim ple data €) tn divtdual Seue - He _ fn dnoreasin ( axcundlog ) om de et i deneensline | 8 cn) Let 'n? w& total nude af obsulahorrs . (i) va to) ob odd Hew —— yale oft. Secuian (1) =, [REA tome & meoliaw : : (obsexvation) (nw) ST nv B® evew ther— He te vaunct (a)'F vate (pv) & Q, find ta mediaw of 154 44,3, 846140- =— oO]; - 1 345 46,8 lO, 14 nhoft . wale F ex Foun} vbsow ation. mec aw = = fex)* a haeriatoue L Ate phavnatiow ’ WW Median (M) = Median (ht) = 6 ho ° 5 Ne ind te mediate of Bis 14, add, 2 ne P eS) re ee Mali a mm ate of [BJ + vats of [2 fotsoel & Mediaw = Value of git } valu of 4M opsurvotier x — 38t9 = 6 a ts Qs~ Mecliaw of a sek of 13 olistinck abacenation BA a cack of fhe 4 hoscpent- observation pou dn eseaned of thee find te median a) news ef - @® ara © *2 © ate ‘A @ M ediaw for dleicnele gues d— wuciaw lw “abe of diner olall _) Te find Hu frat of all wile LD. spe ig ue ramuative Pepa” ot one of zt ee Now te ‘Bonita ang — oof) (ut) Mt 3 uated F aan er (2) Rw tlde) Mobs. ~~ wewrowreweww w ww , verry eee wwe VUVVVVVY VY VVUVUVUUVYVVVVUVVUY VUEVCVUVUVUEVrYrrYVrVYE Nolet ediaw(M) = Af (FS) £ M ( z cf = whee Q= some liratt ar median velas veumulods ve of the wee raseadngfom in P adrian elms f= fee g iF ™ opacxvatios Ne Zt fotat ne Az tn 1 — = Qe find He median vi give lata — [aioe ntesjwala[o-30 | 80-40 4y-50 | 50-60] 6 0- fo| Fo-80 400] 90- loo 4 (16 [ao | 16 [40 | 8 | fe A lla SD 3- | elaw dots | dP c-¢ 20-30 4 4 30-40 ie) 14 40-50 14 30 éo-60 | 44 mada | [60 - Fo] ao (68) aad fo -90 16 6a go-fo| e 9A qo -lo] 8 10d ; = f= 100 $ - - =50 3 t= bo; F= 20 5 hz 10 Modiom = fo + (504° <1 ) ato bo j Cf 46. Mode (Z) Hu woct uenk obcernatiow fe mutim oolal - @ Cal eulottov of mode ¢- () _fe% simple sous $- find Hr, wal Haak ppauatow wluelw Lg Aighat Pug { soxceuring wise). she: find He mods Hoo lala gpytrbleda Bot: moae(z) = + (essa most ) gofs- @ fox ciserels Avda s- olue © that aban atta lic Lor bai gat puguoiyp B alll moe. find Hoe value of mode of Hew dala: fran] ®e m anke div maths 1s Ao| 25 | 36] 45 NO» of efudenls 48 & [4 [so | Yana} 64 SPi- Model) =_ a6 i Hit Fosglony