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NCERT Class XI Mathematics - Statistics - Solutions

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Question : 24
Total: 34
From the prices of shares X and Y below, find out which is more stable in value :
X35 54 52 53 56 58 52 5051 49
Y108 107 105105106107104 103 104 101

Solution:  
X Y (X−
−
X
)		 (Y−
−
Y
)		(X−
−
X
)2		 (Y−
−
Y
)
35108 - 16 3 2569
54 107 329 4
52105 1 01 0
53 10520 4 0
56 10651 25 1
58 107 72 49 4
52 1041 - 1 1 1
50 103 - 1 - 2 1 4
51 1040 − 1 0 1
49101 - 2 - 4 4 16
510 1050 350 40

−
X
 =
210
10
 = 51 ,
−
Y
 =
1050
10
 = 105
σX = √
Σ(X−
−
X
)2
n
 = √
350
10
 = 5.92
σy = √
Σ(Y−
−
Y
)2
n
 = √
40
10
 = 2
C.V. of X =
σX
X
 × 100 =
5.92
51
 × 100 = 11.60
C.V. of Y =
σY
Y
 × 100 =
2
105
 × 100 = 1.9
Since C.V. of Y < C.V. of X
Thus prices of share Y are more stable.
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