Download AP Stat Ch. 2 Day 1 Lesson Worksheet 08

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