Page 81 - DECO504_STATISTICAL_METHODS_IN_ECONOMICS_HINDI

bdkbZμ5 % ekè;] ekfè;dk rFkk cgqyd osQ vuqiz;ksx

mnkgj.k (Illustration) 16: fuEu Js.kh ls eè;dk Kkr dhft,μ uksV
in vkdkj 6 8 10 12 14 16 18 20 22

vko`fÙk 4 8 10 22 18 15 9 6 3
gy (Solution):

in dk vkdkj vko`fÙk lap;h vko`fÙk

6 4 4
8 8 12
10 10 22
12 22 44
14 18 62
16 15 77
18 9 86
20 6 92
22 3 95

N = 95

Median = Size of G F H N + I 1 K J th item
2
95 + 1 96
= Size of = Size of = 48th item
2 2
lkj.kh esa lap;h vko`fÙk;ksa dks ns[kus ls Kkr gksrk gS fd 48oha bdkbZ dk ewY; 14 gS D;ksafd 45oha bdkbZ ls 62oha
bdkbZ rd lHkh inksa dk ewY; 14 gSA
v[kf.Mr ;k lrr~ Js.kh esa eè;dk fu/kZj.k (Median in Continuous series)μlrr~ Js.kh esa eè;dk dk
ewY; Kkr djus osQ fy, fuEu fØ;k dh tkrh gSμ
1- lcls igys lap;h vko`fÙk;k¡ Kkr dh tkrh gSaA

2- blosQ ckn eè;dk la[;k fuEu lw=k }kjk Kkr dh tkrh gSμ
N F I
2 H K
Median = Size of G J th item
N F I
lrr~ Js.kh esa eè;dk G J th item dk gh ewY; gksrk gSA G F H N + I 1 K J th item dk ughaA
2 H K
2
blosQ nks dkj.k gksrs gSaμ
1- eè;dk dk ewY; ,d leku gksuk pkfg, pkgs mldk fu/kZj.k vkjksgh oxkZUrjksa osQ vk/kj ij fd;k tk,
;k vojksgh oxkZUrjksa osQ vk/kj ij] osQUnz&fcUnq dks N/2 ij fLFkr ekuus ls nksuksa fLFkfr;ksa esa eè;dk
leku vkrh gSA
2- lap;h vko`fÙk oØ [khapdj eè;dk dk ewY; fu/kZfjr djus esa Hkh N/2 dk iz;ksx gh mfpr gS D;ksafd
oØ dk osQUnz&fcUnq N/2 ij gksrk gSA
3- eè;dk dh la[;k ftl lap;h vko`fÙk esa igyh ckj vkrh gS mldk oxZ eè;dk oxkZUrj dgykrk gSA
4- eè;dk oxZ esa eè;dk ewY;&fu/kZj.k osQ fy, fuEu lw=k dk iz;ksx djrs gSaμ

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