Warm-up 2.5 Day 2 1)An incoming freshman took her college’s placement exams in French and mathematics. In French, she scored 82 and in math, 86. The.

Slides:

Advertisements

Similar presentations

5.1 Normal Probability Distributions Normal distribution A continuous probability distribution for a continuous random variable, x. The most important.

Advertisements

Percentiles and the Normal Curve

Chapter – 5.4: The Normal Model

CHAPTER 6: The Standard Deviation as a Ruler & The Normal Model

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?

Applications of the Normal Distribution

Z - SCORES standard score: allows comparison of scores from different distributions z-score: standard score measuring in units of standard deviations.

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

Did you know ACT and SAT Score are normally distributed?

Warm-up 2.5 The Normal Distribution Find the missing midpoint values, then find mean, median and standard deviation.

A.P. Statistics: Semester 1 Review

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

Density Curves and Normal Distributions

Copyright © Cengage Learning. All rights reserved. 6 Normal Probability Distributions.

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

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.

Warm Up Solve for x 2) 2x + 80 The product of a number

In 2009, the mean mathematics score was 21 with a standard deviation of 5.3 for the ACT mathematics section. ReferenceReference Draw the normal curve in.

Warm-up Day 1 of Ch.1 and Ch. 2 Review Mean: _____ St. Dev.:____ Median: ____.

Z Scores. Normal vs. Standard Normal Standard Normal Curve: Most normal curves are not standard normal curves They may be translated along the x axis.

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

Aim: Normal Distribution Course: Alg. 2 & Trig Do Now: Aim: How do we apply the characteristics of normal distribution? # of heads

Warm-up Ch. 2 Review Day 2 Fill in the table below using the data on IQ scores. Remember Chebyshev’s Rule: and use the Rule or Normalcdf for.

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.

IE(DS)1 Many 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)

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.

M3U9D2 Warm-up: 1. At the doctor’s office, there are three children in the waiting room. The children are ages 3, 4, and 5. Another 4 year old child enters.

Algebra 2 February 19, A set of values has a mean of 300 and a standard deviation of 60. What value has a z-score of -1.2? 2. In a survey of.

Term 1 Week 7 Warm Ups. Warm Up 9/22/14 1.Students were asked to measure the width of their desks in centimeters. Identify the outlier, and describe how.

Honors Advanced Algebra Presentation 1-6. Vocabulary.

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).

The Normal Distribution Chapter 2 Part 2. Iliana’s Grade After 5 weeks of class Iliana must transfer from a stat class at Lanier to this class. Last week.

Case Closed The New SAT Chapter 2 AP Stats at LSHS Mr. Molesky The New SAT Chapter 2 AP Stats at LSHS Mr. Molesky.

AP Statistics Wednesday, 06 January 2016 OBJECTIVE TSW investigate normal distributions. You need to have the following out: 1.Blue chart (Table A) 2.Calculator.

The Normal Distribution Chapter 2 Continuous Random Variable A continuous random variable: –Represented by a function/graph. –Area under the curve represents.

1 Standard Normal Distribution Curve Standard Score.

1 Copyright © 2014, 2012, 2009 Pearson Education, Inc. Chapter 5 The Standard Deviation as a Ruler and the Normal Model.

Normal Distribution SOL: AII Objectives The student will be able to:  identify properties of normal distribution  apply mean, standard deviation,

Characteristics of Normal Distribution symmetric with respect to the mean mean = median = mode 100% of the data fits under the curve.

Chapter 3.3 – 3.4 Applications of the Standard Deviation and Measures of Relative Standing.

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.

Discrete Math Section 17.4 Recognize various types of distributions. Apply normal distribution properties. A normal distribution is a bell shaped curve.

15.5 The Normal Distribution. A frequency polygon can be replaced by a smooth curve A data set that is normally distributed is called a normal curve.

BNAD 276: Statistical Inference in Management Winter, Green sheet Seating Chart.

The Normal Distributions.  1. Always plot your data ◦ Usually a histogram or stemplot  2. Look for the overall pattern ◦ Shape, center, spread, deviations.

And How to Use Them to Calculate the Area Under the Curve Chapter 5 Lesson.

Let’s recap what we know how to do: We can use normalcdf to find the area under the normal curve between two z-scores. We proved the empirical rule this.

Normal Distribution SOL: AII

Continuous Distributions

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.

Normal Distribution.

Other Normal Distributions

The Normal Distribution

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.

Aim: what is the normal distribution?

Evaluation and Assessment of the Individual: Week 2 Discussion

The Normal Distribution

Continuous Random Variables

Continuous Distributions

Normal Distribution SOL: AII

Normal Distribution SOL: AII

The Normal Distribution

pencil, red pen, highlighter, notebook, graphing calculator

Normal Distribution with Graphing Calculator

Normal Distribution SOL: AII

Presentation transcript:

Warm-up 2.5 Day 2 1)An incoming freshman took her college’s placement exams in French and mathematics. In French, she scored 82 and in math, 86. The overall results on the French exam had a mean of 72 and a standard deviation of 8, while the mean math score was 68 with a standard deviation of 12. On which exam did she do better compared with the other freshmen?

Warm-up Day 2 2) Two companies market new batteries targeted at owners of personal music players. DuraTunes claims a mean battery life of 11 hours, while RockReady advertises 12 hours. Explain why you would also like to know the standard deviations of the battery lifespans before deciding which brand to buy. Suppose those standard deviations are 2 hours for DuraTunes and 1.5 hours for RockReady. You are headed for 8 hours at the beach. Which battery is most likely to last all day? Explain. If your beach trip is all weekend, and you probably will havethe music on for 16 hours, which battery is most likely to last? Explain.

Mooseburger vs.McTofu 3)M-burgers’s weekly payroll number are mostly higher than McTofu. McTofu has an outlier that is out of place.

McTofu vs. Mooseburger 4) On average Mooseburger pays the higher salaries. 5) The mean salary is misleading for McTofu because it has an outlier which will make the mean payroll considerably higher. 6) Mooseburger has consistently higher payrolls, McTofu has one high payroll number which may be a manager. This McTofu’s numbers misleading.

Student of the Day! Block 4

Student of the Day! Block 5

Student of the Day! Block 6

Z-score Z-scores (for normal distribution) describe how many standard deviations (σ) a piece of data is from the mean(μ). The z-score can also be used to find the proportion of values above or below the z-score using normalcdf (z-score, upper or lower bound) invNorm is for finding the z-score when the percentile, mean and standard deviation is given. invNorm(percentile,mean, standard deviation)

Practice with z-scores and finding proportions. A distribution of quiz scores has a mean of 35 and an standard deviations of of 4. Sara received a 40. What is her z-score? What is her percentile rank compared to the rest of the class? 2) In a normal distribution with mean 25 and standard deviation 7, what proportion of the data are less than 20?

Multiple Choice Practice Answer 1 – 10 by yourself. Once everyone at your table is done, discuss your answers. Submit your group answers on a separate piece of paper to be graded for accuracy.

H.W. E #63- 65. Draw the bell curve and label standard deviations for each of the problems.