Introduction
The coefficient of variation (CV) is a statistical measure that is used to measure the relative variability of a dataset. It is expressed as a percentage and is calculated by dividing the standard deviation of the dataset by the mean and then multiplying the result by 100. In this question, we are asked to determine whether subtracting a constant value of 10 from each value in a series will affect the coefficient of variation.

Effect of Subtracting a Constant Value of 10 from each Value in a Series on the Coefficient of Variation

Subtracting a constant value of 10 from each value in a series will not affect the coefficient of variation. This is because the CV is a measure of relative variability, which means that it is calculated based on the relationship between the standard deviation and the mean.

When a constant value of 10 is subtracted from each value in a series, the mean and standard deviation of the dataset will also change, but the relationship between the two will remain the same. In other words, the standard deviation will still be a measure of the spread of the data around the mean, regardless of whether a constant value of 10 has been subtracted from each value in the series.

Therefore, the coefficient of variation will remain unchanged, as it is calculated based on the ratio of the standard deviation to the mean. Subtracting a constant value of 10 from each value in a series will not affect this ratio, as both the standard deviation and the mean will be affected equally.

Conclusion
In conclusion, subtracting a constant value of 10 from each value in a series will not affect the coefficient of variation, as this measure is based on the relationship between the standard deviation and the mean. The standard deviation and mean will both change when a constant value of 10 is subtracted from each value in a series, but their relationship will remain the same, and thus the coefficient of variation will not be affected.

Decreases by 10