1. Does the data appear normally distributed? In your response, comment on the shape of the distribution of your data and compare your measures of central tendency (mean, median).
2. How closely does your data obey the empirical rule? Do roughly 68% of your data points fall within one standard deviation of the mean? Do roughly 95% of your data points fall within two standard deviations of the mean?
3. Assume that your population being studied is normally distributed if already not. If all your findings from questions one through three suggested a non-normal distribution, temporarily ignore those findings and imagine that your population of study is normally distributed.
4. Also assume the mean and standard deviation from your sample are approximately close to the true population mean and population standard deviation. Using the mean and standard deviation you calculated, calculate a Z-score and find the probability of the values occurring in another state's county listed below.

Residents of Hartford county, Connecticut have approximately 36% of its population with a bachelor's degree or higher. What's the probability of a selected county in Maine with 18.30% with a bachelors degree or higher being equal to or greater than 36%?

 

5. Using the variable of 18.30%, find the value of the variable that corresponds to the tenth percentile. In other words, find the z-score for 10% or less, then use the z-score formula to find the value that corresponds to 10%. Does this value seem realistic when considering what your variable measures?

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