My graphical summary visits the world of the flexible and the great. Olympic Gymnasts. Have you ever asked yourself what the average height of an Olympic Gymnast is? Were you ever considering becoming an Olympic gymnast, but were fearful that you were too tall or too short? Ask yourself these questions no more.
My first report analyzes this data in histogram form. Notice the large frequency for the 65 inch range. This shows a frequency of about 18 for our high with clear descending markers on either side. This can be concluded as a bell-shaped curve. Our gymnasts steadily increase in height where the frequency peaks at about 65 inches tall where frequency then begins to drop again.
The second report analyzes this data in a stem and leaf pattern. Notice that the frequency of the 50 range is twice as large at the frequency of the 70 range. This can show that more gymnasts are shorter than they are taller when outside of the 60-69 range which contains most of our data.
The third report portrays a boxplot of this data. In this graph, we can see that the stems on either side are fairly similar in length, demonstrating a rather even distribution from the mean on either side. Although we do see a slightly larger difference in the Q1 to the mean side than we do going from the mean to the Q2. Although not drastic, it does reflect a slightly "skewed right" appearance. Thankfully, we do not see any outliers, but this just means that there isn't too many gymnasts that lie outside a very standard height set.
Our concluding summary statistics show that our mean and median are very similar, and we have a standard deviation of about 3.79. This means that according to the Emperical rule, we should have 95% of our data within twice this amount from the mean on either side, and 99.7% of our data within 3 times this number. Our minimum shows the shortest Olympic gymnast to be at 55 inches and the tallest to be at 72.
So, what is it that we can conclude from this? If you are either over 72 inches tall or shorter than 55 inches, you should probably think of another career choice.
-Birgit SpoonerThe attached result is not available.The attached result is not available.The attached result is not available.The attached result is not available.