1 ptsA researcher has collected the following sample data.   351232The coefficient of variation is

The coefficient of variation (CV) is a statistical measure of the relative dispersion of data points in a data series around the mean. It is calculated as the ratio of the standard deviation to the mean and is often expressed as a percentage. Here's how to calculate it for your data:

1. Calculate the mean (average) of your data set: (3+5+1+2+3+2) / 6 = 2.67
2. Subtract the mean from each data point to get the deviation of each point: (-0.33, 2.33, -1.67, -0.67, 0.33, -0.67)
3. Square each deviation: (0.11, 5.44, 2.78, 0.45, 0.11, 0.45)
4. Calculate the mean of these squared deviations. This is the variance: (0.11+5.44+2.78+0.45+0.11+0.45) / 6 = 1.56
5. Take the square root of the variance to get the standard deviation: √1.56 = 1.25
6. Divide the standard deviation by the mean and multiply by 100 to get the coefficient of variation: (1.25 / 2.67) * 100 = 46.82%

So, the coefficient of variation for your data set is approximately 46.82%.