Weekly Reflection 11-30-18

Empirical Rule: 
There is no objective

Empirical Rule Example:

When using the empirical rule the problem has to call for normal distribution or else you can  not use the empirical rule. There are three numbers you have to remember for empirical rule those numbers are; 68%, 95%, and 99.7%. These numbers represent the intervals of information that is included in these margins.



The lifespans of gorillas in a particular zoo are normally distributed. The average gorilla lives 16 years; the standard deviation is 1.7 years. Use empirical rule to estimate the probability of a gorilla living longer than 14.3 years? 
In order to find the probability I would need to make a normal distribution table and place 16 years as the mean and add and subtract 1.7 as intervals. The numbers I would use would be 9.2, 10.9, 12.6, 14.3, 16, 17.7, 19.4, 21.1, 22.8. Now that I know the numbers I can figure out the percentage. The number 14.3 is at 34%. The question is asking for all of the numbers past 34%. So I add 34 + 13.5 + 2.35 and get 49.85% of gorillas can live longer than 14.3 years.
One misconception I had was when finding a percentage I was unsure on whether to add up the percentages or subtract them. But after asking one of my peers I could better understand what to do when finding a value.

 EQ: How do you use the empirical rule?
By finding the values for the number line and comparing them with the percentages I can figure out the value of whatever the question is asking for.





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