The Normal Curve Packet #23. Normal Curve  Referred to as a bell- shaped curve  Perfect mesokurtic distribution.

Slides:



Advertisements
Similar presentations
Normal distribution Learn about the properties of a normal distribution Solve problems using tables of the normal distribution Meet some other examples.
Advertisements

Normal Distribution Sampling and Probability. Properties of a Normal Distribution Mean = median = mode There are the same number of scores below and.
A.k.a. “bell curve”.  If a characteristic is normally distributed in a population, the distribution of scores measuring that characteristic will form.
Appendix A. Descriptive Statistics Statistics used to organize and summarize data in a meaningful way.
Normal distribution. An example from class HEIGHTS OF MOTHERS CLASS LIMITS(in.)FREQUENCY
Measures of Central Tendency. Central Tendency “Values that describe the middle, or central, characteristics of a set of data” Terms used to describe.
The Normal Distribution
AP Stats BW 9/17 1)Which set has the largest standard deviation? The smallest? a b c )Without calculating,
Did you know ACT and SAT Score are normally distributed?
z-Scores What is a z-Score? How Are z-Scores Useful? Distributions of z-Scores Standard Normal Curve.
Basic Data Analysis: Descriptive Statistics. Types of Statistical Analysis n Descriptive n Inferential: u Test of Differences u Test of Associative u.
Continuous Probability Distributions A continuous random variable can assume any value in an interval on the real line or in a collection of intervals.
Unit 5 Data Analysis.
1.3 Psychology Statistics AP Psychology Mr. Loomis.
Normal Distribution. Objectives The student will be able to:  identify properties of normal distribution  apply mean, standard deviation, and z -scores.
Z Scores and The Standard Normal Curve
Warm-Up If the variance of a set of data is 12.4, what is the standard deviation? If the standard deviation of a set of data is 5.7, what is the variance?
Statistics Recording the results from our studies.
Some Useful Continuous Probability Distributions.
Thinking About Psychology: The Science of Mind and Behavior 2e Charles T. Blair-Broeker Randal M. Ernst.
Describing Behavior Chapter 4. Data Analysis Two basic types  Descriptive Summarizes and describes the nature and properties of the data  Inferential.
IE(DS)1 May of the measures that are of interest in psychology are distributed in the following manner: 1) the majority of scores are near the mean 2)
Probability.  Provides a basis for thinking about the probability of possible outcomes  & can be used to determine how confident we can be in an effect.
An Introduction to Statistics. Two Branches of Statistical Methods Descriptive statistics Techniques for describing data in abbreviated, symbolic fashion.
© 2010 Pearson Prentice Hall. All rights reserved. CHAPTER 12 Statistics.
5.1 Introduction to Normal Distributions and the Standard Normal Distribution Important Concepts: –Normal Distribution –Standard Normal Distribution –Finding.
Measures of Central Tendency: The Mean, Median, and Mode
The Normal Distribution. The Area under the curve The area under the curve represents everything: 100%.
Normal Distribution. Normal Distribution: Symmetric: Mean = Median = Mode.
1 Press Ctrl-A ©G Dear 2009 – Not to be sold/Free to use StandardDeviation Stage 6 - Year 12 Applied Mathematics Preliminary.
 Two basic types Descriptive  Describes the nature and properties of the data  Helps to organize and summarize information Inferential  Used in testing.
§ 5.3 Normal Distributions: Finding Values. Probability and Normal Distributions If a random variable, x, is normally distributed, you can find the probability.
The Abnormal Distribution
The Sampling Distribution of the Sample Mean
Chapter 9 – The Normal Distribution Math 22 Introductory Statistics.
Outline of Today’s Discussion 1.Displaying the Order in a Group of Numbers: 2.The Mean, Variance, Standard Deviation, & Z-Scores 3.SPSS: Data Entry, Definition,
Section 5.1 ~ What is Normal? Introduction to Probability and Statistics Ms. Young ~ room 113.
Wamup What information can you get from the graph? Which had a more symmetrical distribution of scores?
a) Here is a Normal curve for the distribution of batting averages. The mean and the points one, two and three standard deviations from the mean are labeled.
Psychology’s Statistics Appendix. Statistics Are a means to make data more meaningful Provide a method of organizing information so that it can be understood.
The Normal Distribution
Unit II: Research Method: Statistics
Normal Distribution When we collect data from an experiment, it can be “distributed” (spread out) in different ways.
6. Day I: Normal Distributions
Normal distribution, Central limit theory, and z scores
Statistical significance & the Normal Curve
ANATOMY OF THE EMPIRICAL RULE
Given the following data
Normal Distribution.
The normal distribution
Algebra 1/4/17
Statistics Normal Probability
the Normal Distribution
Warm Up If there are 2000 students total in the school, what percentage of the students are in each region?
Warm Up If there are 2000 students total in the school, what percentage of the students are in each region?
12/1/2018 Normal Distributions
Aim: what is the normal distribution?
Warm Up If there are 2000 students total in the school, what percentage of the students are in each section?
Empirical Rule MM3D3.
Chapter 3 The Normal Distribution
Quantitative Methods PSY302 Quiz Normal Curve Review February 6, 2017
Use the graph of the given normal distribution to identify μ and σ.
10-5 The normal distribution
Warm Up If there are 2000 students total in the school, what percentage of the students are in each section?
CHAPTER 12 Statistics.
Density Curves and the Normal Distributions
Objective: To introduce the characteristics of normal distribution curve. Standard 5.10.
Median: middle score - half of the data will fall below the median When data is placed in order… - half of the data will fall below the median.
Warm Up /1 Which of the following statements is true given the dot plot? The distribution is skewed left, so the mean is greater than the median.
Normal Distribution.
Presentation transcript:

The Normal Curve Packet #23

Normal Curve  Referred to as a bell- shaped curve  Perfect mesokurtic distribution

Characteristics of a Perfect Normal Curve  The mean, median and mode will be the same and will divide the curve exactly in half  68% of the scores fall within one standard deviation of the mean  95% of the scores fall within two standard deviations from the mean  99% of the scores fall within three standard deviations from the mean  The two tails of the curve get closer and closer to zero without reaching zero

Normal Distributions  Many human variables fall on a normal or close to normal curve  IQ  Height  Lifespan  Shoe size  Because of this, one can estimate how many people will have a specific IQ, etc, just by knowing two things  The mean and the standard deviation

Look at IQ  Average IQ is 100  Standard deviation is 15  Knowing those facts, one can say that  50% of people will have an IQ of 100 or higher  68% will have an IQ between 85 and 115  95% will have an IQ between 70 and 130  2.5% will have an IQ of 130 or above  84% will have an IQ of 85 or above