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

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

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?

Unit 5 Data Analysis.

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

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

Math 3Warm Up4/23/12 Find the probability mean and standard deviation for the following data. 2, 4, 5, 6, 5, 5, 5, 2, 2, 4, 4, 3, 3, 1, 2, 2, 3, 4, 6,

Chapter 2.2 STANDARD NORMAL DISTRIBUTIONS. Normal Distributions Last class we looked at a particular type of density curve called a Normal distribution.

AP Statistics Section 7.2 C Rules for Means & Variances.

Thinking Mathematically Statistics: 12.5 Problem Solving with the 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,

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.

 z – Score  Percentiles  Quartiles  A standardized value  A number of standard deviations a given value, x, is above or below the mean  z = (score.

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.

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.

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

Math 3 Warm Up 4/23/12 Find the probability mean and standard deviation for the following data. 2, 4, 5, 6, 5, 5, 5, 2, 2, 4, 4, 3, 3, 1, 2, 2, 3,

Section 6-1 Overview. Chapter focus is on: Continuous random variables Normal distributions Overview Figure 6-1 Formula 6-1 f(x) =  2  x-x-  )2)2.

Chapter 5 Normal Probability Distributions. Chapter 5 Normal Probability Distributions Section 5-3 – Normal Distributions: Finding Values A.We have learned.

+ Unit 4 – Normal Distributions Week 9 Ms. Sanchez.

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).

1 Standard Normal Distribution Curve Standard Score.

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

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.

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.

Fundamentals of Software Development 1Slide 1 Team management What can you do to help your team work effectively?What can you do to help your team work.

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

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 and Z-scores

Homework Check.

Team management What can you do to help your team work effectively?

Continuous Distributions

Using the Calculator for Normal Distributions

Describing Location in a Distribution

Top, Middle, & Bottom Cutoff Scores……

The Standard Normal Distribution

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.

Statistics Objectives: The students will be able to … 1. Identify and define a Normal Curve by its mean and standard deviation. 2. Use the 68 – 95 – 99.7.

Standard and non-standard

3.5 z-scores & the Empirical Rule

Other Normal Distributions

The Standard Normal Distribution

Normal Distribution Many things closely follow a Normal Distribution:

2.2 Determining and Using Normal Distributions

Homework Check.

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

Thursday, January 26th Welcome to Day 2 of ICM!!

Empirical Rule MM3D3.

Normal Distributions, Empirical Rule and Standard Normal Distribution

Lesson #9: Applications of a Normal Distribution

Unit 1A - Modelling with Statistics

Measuring location: percentiles

Continuous Random Variables

Continuous Distributions

Click the mouse button or press the Space Bar to display the answers.

Sec Introduction to Normal Distributions

The Normal Curve Section 7.1 & 7.2.

10C Quantiles or k-values

Normal Distribution: Finding Probabilities

Normal Distributions and Z-Scores

Homework Check Everyone should have their homework out. Resource Managers grab answer keys for each member of your team. Team members should share and.

Normal Distribution with Graphing Calculator

How to use Accelerated Math Correctly!!!

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

Presentation transcript:

Mon, October 3, 2016 Complete the “Working with z-scores” worksheet Check 3.4 exercises Check 3.5 exercises

3.6 Applications of the Normal Distribution

Today’s Objectives Review z-scores and Empirical Rule Use technology to calculate probabilities in a normal distribution

Complete Items 1 – 6 with your team Be ready to present your answers to the class! (I will randomly select students to present.) Facilitator (1): Moderates team discussion, distributes work Timekeeper(2): Keeps group aware of time constraints. (10 minutes) Checker (3): Check in with other groups or teacher key, checks to make sure all group members understand concepts and conclusions Prioritizer (4): Makes sure group stays focused and on-task

You might be wondering… …what happens if you’re looking for probabilities that are not perfect standard deviations away from the mean? normalcdf (lower bound, upper bound, µ, σ)

a. What’s the probability that a randomly The scores on the CCM3 midterm were normally distributed. The mean is 82 with a standard deviation of 5. a. What’s the probability that a randomly selected student scored between 80 and 90?

b. What’s the probability that a randomly The scores on the CCM3 midterm were normally distributed. The mean is 82 with a standard deviation of 5. b. What’s the probability that a randomly selected student scored below 70?

c. What’s the probability that a randomly The scores on the CCM3 midterm were normally distributed. The mean is 82 with a standard deviation of 5. c. What’s the probability that a randomly selected student scored above 79?

You can also work backward to find percentiles! d. What score would a student need in order to be in the 90th percentile? 90th Percentile invnorm (percent of area to left, , ) ----- Meeting Notes (8/22/14 10:18) ----- percentile instead of probability

e. What score would a student need in order to be in top 20% of the class?

You try #2

2. The average waiting time at Walgreen’s drive-through window is 7 2. The average waiting time at Walgreen’s drive-through window is 7.6 minutes, with a standard deviation of 2.6 minutes. When a customer arrives at Walgreen’s, find the probability that he will have to wait a. between 4 and 6 minutes b. less than 3 minutes c. more than 8 minutes d. Only 8% of customers have to wait longer than Mrs. Jones. Determine how long Mrs. Jones has to wait. 0.186 0.037 0.441 11.25 minutes

Questions about normal distribution?

Complete Classwork worksheet and turn in for a grade.