Z-Scores and the Normal Distribution Continued Section 8.2.

Slides:

Advertisements

Similar presentations

Solve this equation to find x

Advertisements

Circle Theorems Bingo!. Use any 9 of these numbers 105 o 240 o 55 o 14 o 65 o 50 o 90 o 45 o 60 o 40 o 110 o 155 o 15 o 74 o 120 o 12 o.

Fill in missing numbers or operations

LE FONTANE DELLACQUANUOVA Assonometria monometrica in scala 1:25.

Quickfire Mental Maths 25 questions More free powerpoints at

Understanding the relationship of Mass and Volume

WHAT DO THEY ALL MEAN?. Median Is the number that is in the middle of a set of numbers. (If two numbers make up the middle of a set of numbers then the.

Whiteboardmaths.com © 2007 All rights reserved

Whiteboardmaths.com © 2004 All rights reserved

/4/2010 Box and Whisker Plots Objective: Learn how to read and draw box and whisker plots Starter: Order these numbers.

Lecture 7 THE NORMAL AND STANDARD NORMAL DISTRIBUTIONS

Decimals 10ths and 100ths.

4.3 NORMAL PROBABILITY DISTRIBUTIONS

Year 6/7 mental test 5 second questions

Box and Whiskers with Outliers. Outlier…… An extremely high or an extremely low value in the data set when compared with the rest of the values. The IQR.

Jobs for Montana's Graduates D25L1PP1. Sara works at a local restaurant. On Saturday she clocked in at 8:15am and clocked out at 11:45pm. Sara earns $7.50.

EXAMPLE 1 Adding and Subtracting Decimals a

Price Points With Bar Charts. Investment to Value Ratio $45,000 - $65,000 $25,000 - $45,000 Under $25,000 $90,000 - $125,000 $65,000 - $90,000 Low Price.

Effects on UK of Eustatic sea Level rise GIS is used to evaluate flood risk. Insurance companies use GIS models to assess likely impact and consequently.

Area in the amount of space inside an enclosed region. Area of Rectangle = base x height Base =10 Height = 6 Area = (10)(6) = 60 square units.

COURSE: JUST 3900 TIPS FOR APLIA Developed By: Ethan Cooper (Lead Tutor) John Lohman Michael Mattocks Aubrey Urwick Chapter 5: z-Scores.

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.

Focus Questions: Best no’s less than the product of 2 and r 15 – 2r 2.The product of 6 and t divided by t − 7 3. The quotient of h and 4 plus.

3.5 Applying the Normal Distribution: Z-Scores

Counting coins Teacher’s Notes Slides used as worksheet print outs rather than class presentation. Variations to quantity and appearance can be made easily.

Side by Side Task Task 1Task 2Task 3Task 4 Task 5Task 6Task 7Task 8 Task 9Task 10 NC Level 4 to 7.

AP Statistics Chapter 2 review “Are you feeling normal today?”

Math Extension and Intervention Be on time and be respectful to others….A large group…… No food or drinks or popping gum No , searching, or playing.

Measures of Position Percentiles Z-scores.

Multiply Binomials (ax + b)(cx +d) (ax + by)(cx +dy)

Subtraction: Adding UP

Get out the Pencil Task from Last Thursday! April 22 nd, 2014.

Z-Scores are measurements of how far from the center (mean) a data value falls. Ex: A man who stands 71.5 inches tall is 1 standard deviation ABOVE the.

Based upon the Empirical Rule, we know the approximate percentage of data that falls between certain standard deviations on a normal distribution curve.

Copyright © 2011 Pearson Education, Inc. Putting Statistics to Work.

Measurable Discrete Continuous A failure Indeterminate

Number bonds to 10,

Bell Schedules Club Time is available from 8:05-8:20  1 st 8:20 – 9:15  2 nd 9:20 – 10:10  3 rd 10:15 – 11:05  4 th 11:10 – 12:50 A(11:10)

One step equations Add Subtract Multiply Divide Addition X + 5 = -9 X = X = X = X = X = 2.

Through Percentiles. 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.

Let’s Add! Click the cloud below for a secret question! Get Started!

Calculations in the Bivariate Normal Distribution James H. Steiger.

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

ALGEBRA II WEDNESDAY, JANUARY 28, 2015 B DAY DRILL: How many students will be taking the SAT or have taken it? What is the scoring range ? What do you.

Did you know ACT and SAT Score are normally distributed?

14.4 The Normal Distribution

Section 2.2, Part 1 Standard Normal Calculations AP Statistics Berkley High School/CASA.

Transforming Scores Changing the scale of the data in some way. Change each score.

The Standard Normal Distribution

Measures of Variability Percentile Rank. Comparison of averages is not enough. Consider a class with the following marks 80%, 80%, 80%, 90%, 20%, 70%,

Psychology 290 – Lab 9 January Normal Distribution Standardization Z-scores.

The Normal Distribution Section 8.2. The Galton Board Developed in the late 19 th century by Sir Francis Galton, a cousin of Charles Darwin Theorized.

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

3.5 Applying the Normal Distribution – Z Scores Example 1 Determine the number of standard deviations above or below the mean each piece of data is. (This.

 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)

 The heights of 16-year-old males are normally distributed with mean 68 inches and a standard deviation 2 inches. Determine the z-score for: ◦ 70.

Section 2 Standard Units and Areas under the Standard Normal Distribution.

 By the end of this section, you should be able to: › Find and interpret the percentile of an individual value within a distribution of data. › Estimate.

Finding Percentages with z-scores

Normal Distribution.

Histograms of grades in two classes, each of 200 students

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.

Section 2.2 Standard Normal Calculations

In a time before calculators…

Normal Distribution with Graphing Calculator

Homework: pg. 500 #41, 42, 47, )a. Mean is 31 seconds.

Warm Up Your textbook provides the following data on the height of men and women. Mean Std. Dev Men Women ) What is the z score.

Presentation transcript:

Z-Scores and the Normal Distribution Continued Section 8.2

Z-Scores A z-score is used to measure how many standard deviations you are above or below the mean. Example) The mean is 50% and the standard deviation is 10%. What is the z-score of 60%? What is the z-score of 40%? How about the z-score of 65%?

Calculating Z-scores To calculate your z-score, simply subtract the mean and divide by the deviation: Eg) The class mean is 50%, the standard deviation is 10% and your mark is 70%. What is your z-score?

More z-scores The mean is 50%, the deviation is 10% 1.What is the z-score of a mark of 45%? 2.What is the z-score of a mark of 83% 3.What percentage of the data has a z-score of less than 2?

What if the numbers don’t work out so well? Eg) The mean male height is 170 cm with a deviation of 15 cm. a) What is the z-score of a person who is 181 cm tall? b) What percentile is this person in?

Practice Problems: Height continued c) What percentile is a person with a height of 153 cm? d) What percentage of people are between 153 and 181 cm? e) What percentage of people are taller than 153 cm?

….continued f) How tall is a person who is in the 92 nd percentile for height? g) In the United States, the Food and Drug Administration recommends human growth hormone for people who are more than 2.25 deviations below the mean for height. At what height are you recommended to take the hormone?

Practice Pg , 2, 3, 4, 6, 7 Challenge: 11, 12