STA130H1 Lecture Notes - Lecture 6: Quantile Function, Statistical Parameter, Percentile
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So we measure a sample (the real world): a good sample is chosen randomly to ensure it is representative of the population. Parameters and statistics: a parameter is a numerical value associated with the theoretical world. If we have the relevant data for the entire population, we can simply calculate the parameter. In most situations we only have data parameter. 500 values of mean_delay, calculated from 500 possible random samples of size 25: for a sample size of 25 observations, the sampling distribution of the mean of arr_delay: The mode is near the mean for the population (2. 67) is slightly right-skewed. Values range from about -20 to 50 but most values are between -10 and 15: comparing the sampling distribution of the mean of arr_delay for samples of size 25 and size 100. Both sampling distributions have a single mode at the same value (approximately).
