B2 8. If the coefficient of variation and mean of a frequency distribution are 5% and 125 respectively, then the standard deviation is (A) 0.625 (B) 6.25 (C) 62.5 C (D) 625
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Given : the coefficient of variation is 5 % and
mean of a frequency distribution is 125
To Find : the standard deviation
(A) 0.625
(B) 6.25
(C) 62.5
(D) 625
Solution:
CV in % = ( SD / Mean) * 100
CV = coefficient of variation
SD = Standard Deviation
5 = (SD/ 125) * 100
=> SD = 5 * 125 /100
=> SD = 625 /100
=> SD = 6.25
the standard deviation is (B) 6.25
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