The standard deviation is a measure of the spread of the data: data with lots of numbers close to the mean has a smaller standard deviation, and data with numbers spaced further from the mean has a la...The standard deviation is a measure of the spread of the data: data with lots of numbers close to the mean has a smaller standard deviation, and data with numbers spaced further from the mean has a larger standard deviation. (In this textbook, you will be given the value of the standard deviation of the data and will never need to calculate it.) The standard deviation is a measuring stick for a particular set of data.
This page explores the concept of normal distribution using various examples, including a ball-dropping experiment and basketball statistics. It discusses the empirical rule regarding standard deviati...This page explores the concept of normal distribution using various examples, including a ball-dropping experiment and basketball statistics. It discusses the empirical rule regarding standard deviations, applied to U.S. height and weight data and NFL team performance. Specific analyses of the New England Patriots, Buffalo Bills, and Denver Broncos highlight the significance of win predictions and confidence intervals.