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Miscellaneous Exercise 8 (II) · Q50
Q.

The mean and standard deviations of two brands of watches are given below:

Brand-IBrand-II
Mean36 months48 months
S.D.8 months10 months

Calculate coefficient of variation of the two brands and interpret the results.

Maharashtra MsbshseTextbookSubjectiveImportance★★★★★
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Step 1: C.V.(Brand-I)=100×8/36≈22.22%\text{C.V.(Brand-I)} = 100\times8/36\approx22.22\%.

Step 2: C.V.(Brand-II)=100×10/48≈20.83%\text{C.V.(Brand-II)} = 100\times10/48\approx20.83\%.

Step 3: Since C.V.(Brand-I)>C.V.(Brand-II)\text{C.V.(Brand-I)} > \text{C.V.(Brand-II)}, Brand-I watches are relatively more variable (less consistent) in how long they run, while Brand-II is comparatively more consistent, even though Brand-II's raw S.D. (10 months) is numerically larger than Brand-I's (8 months) — …

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