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Statistica) Shagrorns help us + ana poes ent 1 Set OH However, we Can AS6 a. Sew ef cloak by yust ; mF d a2 numbers are Calne \ « Such Kind averages 7g Three Commonly - Usecl overage are Arithmetic’ Mean, the Meslian and me Mool . e In mathematics and ] Statistics » the Arithmetic mean » Cr dimply ] a the mean or average is the Sum | i OF Collection 0 number Mfvicleck 3 oy the total numbers jn te Colledion. , E . 7 Arithmetic Mean can be dejinedl 2 AS: *. ae the Sumo} all values P : in the Series _ olividecdl by q >» = the Total __ numbers of values _ fn the — Series. Poeaey dj a Mean. _ a Y sic aa Arithmetic Mean = 2), L where * ¥ = Incliviclual value. 2 \ n= Total number of values. Example : To Pind the man 0? 3.8.7. | A Step Finch the ae mt the numbers. oe . S454] = jl T Step2: Coaleulote ae number. 7 “cf there ore 2 numbers. , . = ‘natividual_vatue Exomple : K=value “poequency (7) SR j / 2 °, 2 3 es & ‘ 3 7 3*2 =6 =}-/ Sx =i4 “J Step1 + finel =}. : S} 24 Step2: Now, Findl ety. °, Shy =u st : Stepo3: Now. Substitute fh the above , Formula glen F | Arashi. mean ® SW = = A-M[ group- cata ) du a I She = 395 / ys =} = 40 i = 30% . 9.959 Uo b Example ( Uagraupaclats) Fina the mean clrivin Speecl Jor 6 dierent Car on the Save hig hway 58mph 2 Arithmetic. Mean = S¥Jn Nb (Total number of Cars) — Sy = 66 F574 454469 45B ; eS Seta Se ai Slee putting yvyolve wm conuld 3 Ar th metic — me Si pormuldt Y=aSy/y, or i hn —TA ) } VLoahere wr Tak.) ri : / t j ‘peepee r= VORA) MUNG Er OF values. f ~ y = ‘a coke was : ° ~ = Werwrclual JOE ot Ol psiry we Fi c co... Y I i +. = rBEQ AGINCU. iy 4 es uy q pormulas Y= At Z{D/< »/ =} Where : : UO = cheviation q rom +e D ty. §) A= assumec) meanvalue. a . io | ~ ‘ ss y. K- Short -Cut | K Jethsd) . . _ >>» o + Xs AE eqyeyyrn h = Size of class U = step are from A eth We =hx/=} = 2148/50 = 54-4Morks. ° i) __Shork—Cut_ Method. / ar 2 @ where / > A = Sac = KX = SY S+0.4 = 54-9 Mares. UD Step Deviation Methoel. Y= A + (}U/ =F J lo X¥ = 54 €+4(2]S0)*10 X = 5UU5404 | a a AC eae oy "tis rigidly de}inedi- :- : =) is cosy fo Colculate andl simple 40 ° e i oa ae y tals t is on all the dosexvadion - Yy c —» itis ae and not Inde}inite- io -—y iris —— Yor almost every af ~ Kina of & v2 —p itis vance = to algebraic treatment - \: Dernerits —> The adhymerhic mean fs mg apjected ar by extreme. values- a oe & cannot — mene Ss ratios onc) tak, Sisk rcentoge: perl pee ee se Sr lhe usec) accurately i item is | i aa