Page 82 - DECO504_STATISTICAL_METHODS_IN_ECONOMICS_HINDI

vFkZ'kkL=k esa lkaf[;dh; fof/;k¡

uksV i i F N − G cJ I
izFke lw=kμ M = l + 1 f ( m − c) or M = l + 1 f H 2 K
l − l
M = l + 2 f 1 ( m − c)
1
M = eè;dk (median)
l = eè;dk oxZ dh fupyh lhek (Lower limit of class)
1
i = eè;dk oxZ dk foLrkj (l – l )
1
2
f = eè;dk oxZ dh vko`fÙk (Frequency of median class)
N
m = eè;dk la[;k (median number i.e., )
2
c = eè;dk oxkZUrj ls Bhd igys okys oxZ dh lap;h vko`fÙk
(c.f. of the class just preceding the median class)

mnkgj.k (Illustration) 17: 100 fo|kfFkZ;ksa osQ fuEu izkIrkadksa ls eè;dk Kkr dhft,μ
izkIrkad 0—10 10—20 20—30 30—40 40—50

Nk=kkas dh la[;k 9 28 35 18 10

gy (Solution):

eè;dk fu/kZj.k

izkIrkad Nk=kksa dh la[;k lap;h vko`fÙk
0—10 9 9
10—10 28 37c
l 20—30 35f 72
30—40 18 90
40—50 10 100
N = 100
N F I 100
2 H K
eè;dk la[;k = Size of G J th item = Size of 2 th item
m = 50th item
lap;h vko`fÙk;ksa osQ fujh{k.k ls irk pyrk gS fd 50oha bdkbZ 72 lap;h vko`fÙk esa igyh ckj 'kkfey gqbZ gSA
blfy, bldk oxkZUrj (20—30) gh eè;dk oxkZUrj gksxkA eè;dk oxZ esa eè;dk ewY; fuEu lw=k }kjk fuf'pr
gksxkμ
i
M= l + 1 ( m − c)
f
10 10
= 20 + 50 − 37 = ( 20 + ) × 13
35 35
130
= 20 + = 20 + 3 71
.
35
M = 23.71

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