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If the mean of a frequency distribution is 100 and coefficient of variation is 45% then standard deviation is:
  • a)
    45
  • b)
    0.45
  • c)
    4.5
  • d)
    450
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If the mean of a frequency distribution is 100 and coefficient of vari...
Option (a) 45 is correct. 
Explanation :-
Mean is the sum of the sample values divided by the no. Of samples. 
Standard deviation  expresses by how much  the value of a no. diiffers  from the mean value. 
Here, direct formula is used. 
Coefficient of variation= 45/100 = 0.45
Coefficient of variation= standard variation / Mean
Or, 0.45 = standard deviation / 100
Or standard deviation = 100 * 0.45
So, the standard deviation is :- 45
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Most Upvoted Answer
If the mean of a frequency distribution is 100 and coefficient of vari...
Meaning of Coefficient of Variation:
The coefficient of variation (CV) is a statistical measure of the dispersion of data points in a data set around the mean. It represents the ratio of the standard deviation to the mean.

Formula:
CV = (Standard Deviation / Mean) * 100

Given:
Mean = 100
Coefficient of Variation = 45%

To find:
Standard Deviation

Solution:
Let us use the formula of coefficient of variation to find the standard deviation.

CV = (Standard Deviation / Mean) * 100

45 = (Standard Deviation / 100) * 100

45 = Standard Deviation

Therefore, the standard deviation is 45.

Hence, option 'A' is the correct answer.
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If the mean of a frequency distribution is 100 and coefficient of vari...
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If the mean of a frequency distribution is 100 and coefficient of variation is 45% then standard deviation is:a)45b)0.45c)4.5d)450Correct answer is option 'A'. Can you explain this answer?
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