STA 2023 Lecture Notes - Lecture 12: Unimodality, Standard Deviation
Document Summary
Measures of the variation: range rule of thumb. When the distribution is unimodal and approximately symmetric. The proptionof values from any data set that fall within k standard deviations of the mean will be at leaset 1-1/k^2, where k is a number greater than 1 (k is not necessarily an integer). Minimum percentage within, k standard within k standard deviations deviations. The mean of a distribution is 20 and the standard deviation is 2. Theorem: at least what percentage of the values will fall between 10 and 30. The average number of calories in a regular-size bagel is 240. If the standard deviation is 38 calories, find the range in which at least 75% of the data will lie. The percentage of values from a data set that fall within k standard deviations of the mean in a normal (bell-shaped) distribution is listed below.
