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AP STATISTICS Chapter 2 – Exploring Data Exploring the Basics Day 1 A. Section 2.1 Name _______________________ Date __________ Period _____ Density Curves and the Normal Distribution Key Vocabulary: density curve, mathematical model, distribution, normal curve, skew left and right, median – equal areas point, mean – balance point, x versus , s x versus , idealized versus actual distribution, uniform distribution, normal distribution, inflection point and standard deviation connection, 68-95-99.7 Rule, connection to percentiles, N( , ) B. Density curve Describes the overall pattern of a distribution Always remain on or above the horizontal axis Has total area of 1 underneath it Area beneath a specific portion gives proportion of observations that fall in that range C. Mean ( ) and standard deviation ( ) of a density curve model for data versus mean ( x ) and standard deviation ( s x ) of actual data [mean is “mu” and standard deviation is “sigma”] D. Mean – balance point versus Median – equal areas point E. Locating mean, median and quartiles by eye F. Normal distributions (from data) and the idealized normal density curves [N( , )] that model them G. N( , ) – all you need to know for a normal density curve; and the inflection point-standard deviation connection H. 68-95-99.7 Rule and connection to percentiles I. Calculating practice J. Assignment: Exercises 2.6, 2.7,2.8, 2.9 on p. 89