In today’s analysis, I delved into examining the age distribution from various angles, aiming to understand its deviation from a standard normal distribution, particularly in terms of extremeness and behavior.
The initial phase of the analysis involved calculating the mean age and standard deviation, providing valuable insights into the distribution’s central tendency and variability. These statistical measures set the stage for further exploration. A key aspect of the analysis was the determination of what proportion of the right tail of the age distribution extended beyond 2 standard deviations from the mean, for both the Black and White races.
To accomplish this, a threshold was established by adding 2 times the standard deviation to the mean. This threshold served as a demarcation line, identifying outliers in the right tail of the distribution. Subsequently, I quantified the percentage of data points within the dataset that exceeded this threshold. This calculation shed light on the rarity of values in the right tail and provided a deeper understanding of the distribution’s characteristics. Moreover, as a point of reference, I utilized the standard normal distribution, allowing for a comparative analysis between our data and the theoretical normal distribution.
This comparison, particularly in the tail region extending beyond 2 standard deviations, facilitated an assessment of how the age distribution deviated from the idealized normal distribution.