Assignment that is tickling my soul

     It has already been two weeks since my senior year started. As I always did before the start of each semester, I made a resolution to keep myself working hard and passionate about my life. I think I had not made up to my whole expectation but have been doing not bad for the last two weeks. Unlike the freshman who must be enjoying their first month in KMLA, seniors are getting a large amount of homework from school curriculum as well as from their own activities. 

     The assignment that I am working on right now is from the AP Statistics class. It is my first time to learn statistics and I am pretty much enjoying the subject. The above picture is a histogram that shows a bell-shaped distribution. The image is from Google so doesn't have much relevance to my homework. There is a question that I was impressed the most. It was not the hardest question but it gave me a thrill when I solved it and finally  understood the question wholly. The question was about a bell-shaped distribution just like the above picture. The question goes: Can you be sure that the below histogram has a standard deviation bigger than 5? 

The answer is yes because according to a rule called "Empirical Rule" in statistics, about 95% of population, the group of things that are under investigation, is between (median-standard deviation) and (median+standard deviation). The standard deviation could not be smaller than 5 since only about 50% of population belonged to the range between (median-5) and (median+5). Therefore, I could conclude that the standard deviation should be bigger.

     This question was actually a part of a bigger question. However, it gave me a better understanding about the relationship between bell-shaped distribution, empirical rule, and the standard deviation. It did tickle my soul.