Intro to Statistics Question

For the two sets of different data points I labeled them as ages 100-50 years and then 50-5 years to show an example of familiar data to people.  I needed something simple so that I could understand what I was doing and hopefully others as well.  Through Xcel, I was able to use the functions to provide calculations for the standard deviation as well as the coefficient of variance for the two sets of data.  I chose to enter the coefficient of variation answers as percentages because I found that this was most often how the answer is entered instead of a decimal.  I found through research that “Standard deviation is used to compare variation among similar things and is calculated by taking the average of all the differences between each data point compared to the overall average,” and “coefficient of variation is used to compare dissimilar things and is calculated by taking standard deviation and dividing it by the mean,” (Stacy, 2018, para. 6).  Personally, I feel that coefficient of variation shows more variance in their data values because it’s easier to read when it’s in percentage form.  For example the difference in the two numbers shows a more obvious difference than the two answers for standard deviation, which mirror each other.  Now when I entered two different sets of 10 data points and did the calculations again, it was a little clearer to see an obvious difference in standard deviation points in order to compare again.  I still feel coefficient of variation is easier to see the variance in in the data values.

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