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					        Data Collection & Data Representation
          (Frequency distribution & Graphs)
Frequency distribution (MYmsL¨v wb‡ekb)
1. MYmsL¨v ej‡Z wK eyS A_ev NUb msL¨v wK (What
is Frequency)t
cwimsL¨vb †¶Î †_‡K Z_¨ msMÖn K‡i H Z_¨‡K mvRv‡bvi
cÖ‡qvRb| Ab¨_vq cÖvß cwimsL¨vb Z_¨‡K e¨vL¨v Kiv
m¤¢e bq| Giƒc mvRv‡bvi cÖ‡qvR‡b Z_¨‡K myweavgZ
cwimxgv wb‡q †kªYxwefvM Kiv nq| Z_¨ we‡k­l‡Yi
myweav‡_© †h cwimxgv †bqv nq H cwimxgvi Aš—fy©³
Z_¨‡K GKÎ K‡i cÖwZwU cwimxgvi wecix‡Z cÖ`k©b Kiv
m¤¢e nq| Avevi cÖwZwU cwimxgvq `yÕwU †kªYxmxgv
_v‡K,   G‡`i     GKwU‡K   D”Pmxgv    Ges      AciwU‡K
wbgœmxgv ejv nq| GB `yÕmxgvi g‡a¨ †h cwigvY we¯—
vi K‡i Zv‡K †kªYxe¨vwß ejv nq| GKwU †kªYxe¨vwßi g‡a¨
KZ¸‡jv gvb Aš—fy©³ _v‡K G msL¨vgv‡bi mgwó‡K
MYmsL¨v ev NUb msL¨v ejv nq|
2. MYmsL¨v wb‡ekb Kv‡K e‡j (What is frequency
distribution)t
msM„nxZ cwimsL¨vb DcvˇK msw¶ß A_P my¯úó I
Zvrch©gwÛZ K‡i †Zvjvi Rb¨ Dchy³ †kªYx‡Z wef³ K‡i
cª‡Z¨K †kªYx‡Z KZwU gvb ev MYmsL¨v Av‡Q Zv
†`wL‡q †h mviYx ev ZvwjKv cÖ¯‘Z Kiv nq Zv‡K
MYmsL¨v wb‡ekb ev frequency distribution e‡j|
3. MYmsL¨v wb‡ek‡bi cÖKvi‡f` wK wK? (What is
Classification of frequency distribution)t
MYmsL¨v wb‡ekb‡K mvaviYZ `yB cÖKv‡i wef³ Kiv
n‡q‡Q| h_vt (a) mij ev weiZ ev wew”Qbœ MYmsL¨v
(Discrete/ ungrouped frequency distribution) (b) †kªYxe×
ev AweiZ ev Awew”Qbœ MYmsL¨v (Continuous/
Grouped frequency distribution).
4. MYmsL¨v wb‡ek‡bi cÖ¯‘Z cÖYvjx wjL (Write down
the Construction of frequency distribution)t
(a) weiZ ev wew”Qbœ MYmsL¨v wb‡ek‡bi †¶‡Ît
    †Kvb AbymÜvb †¶Î †_‡K msM„nxZ Z‡_¨i wewfbœ
gv‡bi eivei (EaŸ©µg ev wbgœµg Abymv‡i) cieZx©
Kjv‡g MYmsL¨v‡K Dc¯’vcb K‡i †h mviYx ˆZwi Kiv nq
Zv‡K weiZ ev wew”Qbœ MYmsL¨v wb‡ekb e‡j| †h mKj
†¶‡Î Pj‡Ki gv‡bi msL¨v Kg †h mKj †¶‡Î weiZ ev
wew”Qbœ MYmsL¨v wb‡ekb cÖ¯‘Z Kiv myweavRbK|
wb‡gœi GKwU weiZ ev wew”Qbœ MYmsL¨v mviYx
ˆZwi Kivi wbqgvejx D‡j­L Kiv nj-
(i) cÖ_g avct G ai‡Yi MYmsL¨v wb‡ekb ˆZwi Kivi mgq
cÖ_g ch©v‡q PjKmg~n‡K EaŸ©µ‡g ev wbgœµ‡g
Abymv‡i wb‡ek‡bi cÖ_g Kjv‡g †jLv nq|
(ii) wØZxq avct GB av‡c †h msL¨vwU ivwkgvjvi g‡a¨
hZevi Av‡Q †m Z_¨wUi eivei wØZxq Kjv‡g U¨vwj wP‡‎ i
                                                ý
mvnv‡h¨ Zv †`Lv‡bv nq|
(iii) Z…Zxq avct GB av‡c cÖvß U¨vwj msL¨v MYbv K‡i
MYmsL¨v (Frequency) Z…Zxq Kjv‡g †jLv nq|
Example-1: The marks obtain by 20 students are given
below. Construct a frequency table from the following data.
20, 10, 25, 20, 15, 25, 30, 20, 25, 15, 10, 20, 30, 15, 25, 10,
20, 30, 20, 30.
Solution t From the above data we arrange the data in
ascending order in the frequency table and construct a
frequency table.
                   Marks     Tally     Frequency
                     10        III          3
                     15        III          3
                     20       IIII I        6
                     25       IIII          4
30   IIII      4
            Total=20

				
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posted:7/3/2012
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