# Coefficient of variation values?

I'm doing an assignment on which I'm analyzing a data sample of roughly 1400 soccer players from Europe and I'm not sure how to interpret the coefficient of variation, to be honest.

For instance, when it comes to the variable "Age" the coefficient is 14.84%, on the variable "Weight" it's 8.24% and it's 3.39% for the "Height" variable.

When it comes to standard deviation I've read that values above 3 are considered to signify a large amount of spread in the data sample and I was wondering if there were similar cutoff values for the coefficient of variation as well?

• The coefficient of variation divided by the mean. It can be estimated from a sample by dividing the sample estimate of standard deviation by the sample mean. It is therefore a proportion that can be converted to a percentage by multiplying by 100. – Michael R. Chernick Mar 25 '18 at 2:59
• @MichaelChernick naturally meant that the coefficient of variation is the SD divided by the mean. – Nick Cox Mar 25 '18 at 9:46
• It's important to be consistent about 3 or 3%. True story: I once reported a coefficient of variation of about 2 in a paper and a reviewer complained that 2 was implausibly low for the kind of data being discussed. I had to underline that I had written and meant 2 (= 200%), not 2%. – Nick Cox Mar 25 '18 at 9:58