Density Curves. Weight of newborns Nearest pound Nearest tenth of pound 456789 456789.

Slides:

Advertisements

Similar presentations

Area Under a Curve (Linear). Find the area bounded by the x-axis, y = x and x =1. 1. Divide the x-axis from 0 to 1 into n equal parts. 2. Subdividing.

Advertisements

Density Curves and Normal Distributions

(Day 1).  So far, we have used histograms to represent the overall shape of a distribution. Now smooth curves can be used:

Density Curves, mean and median

Warm-Up Grab a sheet of multiple choice questions and work on those!

Stat350, Lecture#4 :Density curves and normal distribution Try to draw a smooth curve overlaying the histogram. The curve is a mathematical model for the.

Chapter 2: The Normal Distributions

DENSITY CURVES and NORMAL DISTRIBUTIONS. The histogram displays the Grade equivalent vocabulary scores for 7 th graders on the Iowa Test of Basic Skills.

Continuous Probability Distributions In this chapter, we’ll be looking at continuous probability distributions. A density curve (or probability distribution.

1 The Uniform Probability Distribution. 2 A rectangle The base of the rectangle The height of the rectangle Do you remember how to calculate the area.

LECTURE UNIT 4.3 Normal Random Variables and Normal Probability Distributions.

Introduction to Normal Distributions and the Standard Distribution

L7.1b Continuous Random Variables CONTINUOUS RANDOM VARIABLES NORMAL DISTRIBUTIONS AD PROBABILITY DISTRIBUTIONS.

What We Know So Far… Data plots or graphs

Chapter 7 Continuous Distributions. Continuous random variables Are numerical variables whose values fall within a range or interval Are measurements.

Standard Normal Distribution

Mr. Markwalter.  People who keep organized notebooks are doing the best  People who copy down my examples are doing the best  People who ask questions.

Continuous Distributions. The distributions that we have looked at so far have involved DISCRETE Data The distributions that we have looked at so far.

Chapter 7 Continuous Distributions. Continuous random variables Are numerical variables whose values fall within a range or interval Are measurements.

Density Curves Can be created by smoothing histograms ALWAYS on or above the horizontal axis Has an area of exactly one underneath it Describes the proportion.

1 From density curve to normal distribution curve (normal curve, bell curve) Class 18.

2.1 Density Curves and the Normal Distribution.  Differentiate between a density curve and a histogram  Understand where mean and median lie on curves.

Chapter Six Normal Curves and Sampling Probability Distributions.

Density Curves Section 2.1. Strategy to explore data on a single variable Plot the data (histogram or stemplot) CUSS Calculate numerical summary to describe.

Chapter 7 Lesson 7.3 Random Variables and Probability Distributions 7.3 Probability Distributions for Continuous Random Variables.

BPS - 5th Ed. Chapter 31 The Normal Distributions.

Essential Statistics Chapter 31 The Normal Distributions.

Copyright © 2014, 2013, 2010 and 2007 Pearson Education, Inc. Chapter The Normal Probability Distribution 7.

© 2010 Pearson Prentice Hall. All rights reserved Chapter The Normal Probability Distribution © 2010 Pearson Prentice Hall. All rights reserved 3 7.

Chapter 7 Continuous Distributions Notes page 137.

Section 2.1 Density Curves. Get out a coin and flip it 5 times. Count how many heads you get. Get out a coin and flip it 5 times. Count how many heads.

Finish Section 2.1.

Chapter 2: Modeling Distributions of Data

Copyright © 2013, 2010 and 2007 Pearson Education, Inc. Chapter The Normal Probability Distribution 7.

AP Statistics Tuesday, 05 January 2016 OBJECTIVE TSW investigate the properties of continuous distributions. You may sit anywhere close to the FRONT OF.

Continuous Distributions. Continuous random variables Are numerical variables whose values fall within a range or interval Are measurements Can be described.

The Standard Normal Distribution Section Starter Weights of adult male Norwegian Elkhounds are N(42, 2) pounds. What weight would represent the.

NOTES: page 26. Suppose you take the SAT test and the ACT test. Not using the chart they provide, can you directly compare your SAT Math score to your.

Chapter 7 The Normal Probability Distribution 7.1 Properties of the Normal Distribution.

Warm-up 1. A concert hall has 2000 seats. There are 1200 seats on the main floor and 800 in the balcony. 40% of those in the balcony buy a souvenir program.

Normal Probability Distributions Chapter 5. § 5.2 Normal Distributions: Finding Probabilities.

Chapter 7 Random Variables and Continuous Distributions.

Section 2.1 Density Curves

Continuous Distributions

Transforming Data.

Chapter 4: The Normal Distribution

Interpreting Center & Variability.

Section 7.3: Probability Distributions for Continuous Random Variables

CHAPTER 2 Modeling Distributions of Data

Continuous random variables and probability distributions

Describing Location in a Distribution

Interpreting Center & Variability.

The Normal Probability Distribution

Density Curves, mean and median

2.1 Density Curve and the Normal Distributions

Empirical Rule Rule Ch. 6 Day 3 AP Statistics

2.1 Normal Distributions AP Statistics.

Day 2 - Chapter 2.1 Transformations & Density Curves.

Interpreting Center & Variability.

Basic Practice of Statistics - 3rd Edition The Normal Distributions

Continuous Random Variables

Continuous Distributions

MATH 2311 Section 4.1.

Homework: pg. 119 #3,4; pg. 122 #6-8 3.) A. Judy’s bone density score is about one and a half standard deviations below the average score for all women.

Describing Location in a Distribution

Density Curves and the Normal Distributions

Uniform Distribution Is a continuous distribution that is evenly (or uniformly) distributed Has a density curve in the shape of a rectangle Probabilities.

MATH 2311 Section 4.1.

Presentation transcript:

Density Curves

Weight of newborns Nearest pound Nearest tenth of pound

Fit more & more rectangles It approaches a curve as the rectangles become smaller & has greater accuracy.

Density Function Describes the overall pattern of a distribution. The area under the curve and above any interval of values on the horizontal axis is the proportion of all observations that fall in that interval. The graph is a smooth curve called the density curve. Total area under the curve = 1.

Uniform Distribution All occur in equal distributions

Ex: What’s the area from 4.5 to 5.5?What’s the area from 5.5 to 6?

If we have a uniform continuous function from 3 to 8, find the height.

Ex. Find P(x < 10) Find P(x < 35) minutes

Ex: Find P(x<4) Find P(x<2) 0.25

Ex: Find P(x<20) Find P(x>70) Find P(20<x<70)

Homework Page 353 (1-7) odd (21, 27, 33, 34) Worksheet