Normal Distribution with Graphing Calculator

Slides:

Advertisements

Similar presentations

Calculating Z-scores A z-score tells you where you are on the generic normal distribution curve Most z-scores are between -3 and 3 (because 99.7% of the.

Advertisements

Chapter – 5.4: The Normal Model

Graphs of Normal Probability Distributions

Sections 5.1 and 5.2 Finding Probabilities for Normal Distributions.

The Standard Normal Curve Revisited. Can you place where you are on a normal distribution at certain percentiles? 50 th percentile? Z = 0 84 th percentile?

Practice Using the Z-Table

Section 6-3 Applications of Normal Distributions.

The Normal Curve Z Scores, T Scores, and Skewness.

Chapter 5 The Normal Curve and Standard Scores EPS 525 Introduction to Statistics.

z-Scores What is a z-Score? How Are z-Scores Useful? Distributions of z-Scores Standard Normal Curve.

Chapter 11: Random Sampling and Sampling Distributions

Quiz 5 Normal Probability Distribution.

In this chapter, we will look at using the standard deviation as a measuring stick and some properties of data sets that are normally distributed.

Normal distribution (2) When it is not the standard normal distribution.

Using the Calculator for Normal Distributions. Standard Normal Go to 2 nd Distribution Find #2 – Normalcdf Key stroke is Normalcdf(Begin, end) If standardized,

The Standard Normal Distribution

AP Statistics Chapter 2 Notes. Measures of Relative Standing Percentiles The percent of data that lies at or below a particular value. e.g. standardized.

Warm-Up On the driving range, Tiger Woods practices his golf swing with a particular club by hitting many, many balls. When Tiger hits his driver, the.

The Normal Distribution. The Area under the curve The area under the curve represents everything: 100%.

1 Chapter 5. Section 5-1 and 5-2. Triola, Elementary Statistics, Eighth Edition. Copyright Addison Wesley Longman M ARIO F. T RIOLA E IGHTH E DITION.

Chapter 2 Modeling Distributions of Data Objectives SWBAT: 1)Find and interpret the percentile of an individual value within a distribution of data. 2)Find.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Chapter 6 The Standard Deviation as a Ruler and the Normal Model.

2.2 Standard Normal Calculations

The Normal Distribution Lecture 20 Section Fri, Oct 7, 2005.

AP Statistics: Section 2.2 B. Recall finding a z-score in section 2.1: z =

Normal Distributions.

Thinking Mathematically Statistics: 12.4 The Normal Distribution.

Inverse Normal Calculations. Consider a population of crabs where the length of a shell, X mm, is normally distributed with a mean of 70mm and a standard.

7.2 Standard Normal Distribution Obj: Find the area under the standard normal curve and use area to find Z-scores.

Upon reaching orbit the Space Shuttle will engage in MECO (Main Engine Cut-Off). At that time it will be traveling at an average of 17,580mph (σ = 35mph).

 A standardized value  A number of standard deviations a given value, x, is above or below the mean  z = (score (x) – mean)/s (standard deviation)

Chapter 3 Modeling Distributions of Data. The standard Normal distribution the Normal distribution with mean 0 and standard deviation 1 z has the standard.

The Normal Distribution Lecture 20 Section Mon, Oct 9, 2006.

Up to now, our discussion of the normal distribution has been theoretical. We know how to find the area under the normal bell curve using the normalcdf.

Using the Calculator for Normal Distributions. Standard Normal Go to 2 nd Distribution Find #2 – Normalcdf Key stroke is Normalcdf(Begin, end) If standardized,

Normal Distribution and Z-scores

THINK ABOUT IT!!!!!!! If a satellite crashes at a random point on earth, what is the probability it will crash on land, if there are 54,225,000 square.

Using the Calculator for Normal Distributions

Describing Location in a Distribution

The Standard Normal Distribution

Distributions and mathematical models

U6 - DAY 2 WARM UP! Given the times required for a group of students to complete the physical fitness obstacle course result in a normal curve, and that.

THE STANDARD NORMAL DISTRIBUTION

Lecture 21 Section – Fri, Feb 22, 2008

Other Normal Distributions

The Standard Normal Distribution

2.2 Determining and Using Normal Distributions

Mon, October 3, 2016 Complete the “Working with z-scores” worksheet

What % of Seniors only apply to 3 or less colleges?

WARM – UP Jake receives an 88% on a Math test which had a N(81, 8). That same day he takes an English test N(81, 12) and receives a 90%. Which test did.

U6 - DAY 2 WARM UP! Given the times required for a group of students to complete the physical fitness obstacle course result in a normal curve, and that.

Lecture 26 Section – Tue, Mar 2, 2004

6-3 Standard Units Areas under Normal Distributions

Year-3 The standard deviation plus or minus 3 for 99.2% for year three will cover a standard deviation from to To calculate the normal.

The Normal Distribution

Evaluation and Assessment of the Individual: Week 2 Discussion

Z = standardized normal variable. Notation used: Z = standardized normal variable.  = 0 and  = 1 are the basic values for mean and standard.

Measuring location: percentiles

Lecture 21 Section – Tue, Oct 10, 2006

Lecture 21 Section – Fri, Oct 15, 2004

Use the graph of the given normal distribution to identify μ and σ.

Applications of the Normal Distribution

Homework: pg. 136 #25, ) A. 2.5% B. Between 64 and 74 inches

Sec Introduction to Normal Distributions

The Normal Curve Section 7.1 & 7.2.

STATISTICS ELEMENTARY MARIO F. TRIOLA EIGHTH EDITION

Lecture 21 Section – Fri, Feb 22, 2008

10C Quantiles or k-values

Area under the Standard Normal Curve:

WarmUp A-F: put at top of today’s assignment on p

Presentation transcript:

Normal Distribution with Graphing Calculator

Example The scores on an IQ test approximate a normal distribution with a mean µ = 100 and standard deviation of σ = 25. To find a percentage (area) use the NormalCDF command: This can be found by pressing: 2nd  DISTR normalCDF(lower bound, upper bound, mean, standard deviation)

The scores on an IQ test approximate a normal distribution with a mean µ = 100 and standard deviation of σ = 25. A) What percentage of all test takers score between 85 and 110? 0.3812  38.12% B) What percentage of all test takers score below 90? 0.3446  34.46% C) What percentage of all test takers score above 120? 0.2119  21.19%

The scores on an IQ test approximate a normal distribution with a mean µ = 100 and standard deviation of σ = 25. If you need to find a score given an area: use the invNorm command. invNorm(area below value, µ , σ) Example: To be in the top 10% of all test takers, what must you score? 132.04

The scores on an IQ test approximate a normal distribution with a mean µ = 100 and standard deviation of σ = 25. What score is necessary to be in the 25th percentile? 83.14