cwiNvZ, ew¼gZv I m~uPvjZv
154
11| 4 n‡Z gvcv cÖ_g wZbwU cwiNvZ 1, 5 I 10 n‡j we‡f`vsK Ges Z…Zxq †K›`ªxq cwiNvZ wbY©q Ki| mgvavb: g‡b Kwi, a = 4 n‡Z gvcv 1g wZbwU A‡kvwaZ cwiNvZ, µ1′ = 1 µ 2′ = 5 µ 3′ = 10 Avgiv Rvwb, µ1′ = x − a 1= x −4 1+ 4 = x 5= x ∴x = 5
2q †K›`ªxq cwiNvZ, 2
µ 2 = µ ′2 − µ1′ = 5 − (1) 2 = 5 −1
=4
Avgiv Rvwb, σ 2 = µ 2 = 4 σ = 4 =2 σ × 100 x 2 = × 100 5 = 40%
we‡f`vsK, C.V =
3q †K›`ªxq cwiNvZ, µ 3 = µ 3′ − 3µ 2′ µ1′ + 2 µ1′3 = 10 − 3 × 5 × 1 + 2(1) 3 = 10 − 15 + 2 = 12 − 15 = −3
12| GKwU web¨v‡mi 5 †K›`ªxK 1g PviwU cwiNvZ h_vµ‡g 1,5,-3 Ges 98| web¨v‡mi Mo, †f`vsK, µ 3 Ges µ 4 Gi gvb wbY©q Ki| mgvavb: g‡b Kwi, a = 5 Gi mv‡c‡ÿ 1g PviwU A‡kvwaZ cwiNvZ, µ1′ = 1 µ 2′ = 5 µ 3′ = −3 µ 4′ = 98 D”Pgva¨wgK cwimsL¨vb