Homework Check.

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

Standardizing Data and Normal Model(C6 BVD) C6: Z-scores and Normal Model.

Graphs of Normal Probability Distributions

Normal Distributions & the Empirical Rule

Ch 11 – Probability & Statistics

Statistics Normal Probability Distributions Chapter 6 Example Problems.

Section 7.1 The STANDARD NORMAL CURVE

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

The Normal Distribution. Bell-shaped Density The normal random variable has the famous bell-shaped distribution. The most commonly used continuous distribution.

Key Concepts, continued To determine the probability of an outcome using continuous data, we use the proportion of the area under the normal curve associated.

Think about this…. If Jenny gets an 86% on her first statistics test, should she be satisfied or disappointed? Could the scores of the other students in.

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.

Copyright © 2013, 2009, and 2007, Pearson Education, Inc. Chapter 6 Probability Distributions Section 6.2 Probabilities for Bell-Shaped Distributions.

Density Curves Section 2.1. Strategy to explore data on a single variable Plot the data (histogram or stemplot) CUSS Calculate numerical summary to describe.

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

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.

2.2 Standard Normal Calculations

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

7.4 (Purple) Use Normal Distributions Midterm: TOMORROW *Answers to the review book work is on my teacher page* Statistics Quiz: Friday.

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

MATH Section 4.2. The Normal Distribution A density curve that is symmetric, single peaked and bell shaped is called a normal distribution. The.

6.2 – USE NORMAL DISTRIBUTIONS Unit 6 – Data Analysis and Probability.

Normal Distribution S-ID.4 Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages.

Density Curves & Normal Distributions Textbook Section 2.2.

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.

Normal Distributions. Homework Answers 1. a) Her percentile is.25, or the 25 th percentile. 25% of girls have fewer pairs of shoes b) His.

Normal Distribution SOL: AII

The Normal 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.

Normal Distribution.

Warm Up Make a Box-and-Whisker plot for the two sets of data below

THE STANDARD NORMAL DISTRIBUTION

Chapter 12 Statistics 2012 Pearson Education, Inc.

Normal Distribution and Z-scores

The Standard Normal Distribution

Use Normal Distributions

Homework Check.

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.

Warm Up If there are 2000 students total in the school, what percentage of the students are in each region?

Finding Area…With Calculator

The Standard Normal Bell Curve

11-3 Use Normal Distributions

Homework Check.

Unit 1A - Modelling with Statistics

The Normal Distribution

The Standard Deviation as a Ruler and the Normal Model

Section 2.2 Standard Normal Calculations

10-5 The normal distribution

10A The Normal Distribution, 10B Probabilities Using a Calculator

The Normal Distribution

Sec Introduction to Normal Distributions

Normal Distribution SOL: AII

The Normal Distribution

The Normal Curve Section 7.1 & 7.2.

STATISTICS ELEMENTARY MARIO F. TRIOLA EIGHTH EDITION

Normal Distributions.

Normal Distribution SOL: AII

6.2 Use Normal Distributions

Standard Deviation and the Normal Model

6.2 Use Normal Distributions

Normal Distribution with Graphing Calculator

Normal Distribution SOL: AII

Z-Scores 10/13/2015 Statistics Mr. DeOms

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

Normal Distribution.

Chapter 12 Statistics.

Presentation transcript:

Homework Check

Skill Check!!! 6.1 only 

Normal Distributions

The Normal Curve Normal Distribution: Modeled by a bell-shaped curve [normal curve] Symmetrical about the mean, . Each area determined by adding or subtracting the standard deviation, . Total area under the curve is 100%, or 1.

The Normal Curve The mean is 65, and standard deviation is 2. 59 61 63 65 67 69 71 The mean is 65, and standard deviation is 2. Use this information to fill out the x-axis.

Ex. 1 Give the area under the normal curve Ex. 1 Give the area under the normal curve represented by the shaded region.

Ex. 2 Give the area under the normal curve Ex. 2 Give the area under the normal curve represented by the shaded region.

Ex. 3 A normal distribution has a mean of 18 and a Ex. 3 A normal distribution has a mean of 18 and a standard deviation of 3. Find the probability that a randomly selected x-value from the given distribution is in the interval. a. Between 12 and 18 b. At least 21

Ex. 3 A normal distribution has a mean of 18 and a Ex. 3 A normal distribution has a mean of 18 and a standard deviation of 3. Find the probability that a randomly selected x-value from the given distribution is in the interval. YOU TRY! c. At most 12 d. Between 9 and 21

4. The heights of 3000 women at a particular college are normally distributed with a mean of 65 inches and a standard deviation of 2.5 inches. a) About what percentage of college women have heights below 70 inches? 97.5% b) About how many of the college women have heights between 60 inches and 65 inches? 1425 women

If it’s not on the curve: 4. The heights of 3000 women at a particular college are normally distributed with a mean of 65 inches and a standard deviation of 2.5 inches. a) What is the probability that a woman in this college would have a height less than 71 inches? If it’s not on the curve:

Using Your Calculator: TI-36X Pro: 2nd, data Distr Normalcdf Input Mean and S.D. Input Bounds CALC TI-83/84: 2nd, VARS Normalcdf( Input data as above Enter

5. A particular leg bone for dinosaur fossils has a mean length of 5 feet with standard deviation of 3 inches. What is the probability that a leg bone is less than 62 inches? = Normalcdf (-1E99, 62, 60, 3) = 0.7475

6. The weight of chocolate bars from a particular chocolate factory has a mean of 8 ounces with standard deviation of .1 ounce. What is the percent that a randomly selected bar is between 7.85 and 8.15 ounces? = Normalcdf (7.85, 8.15, 8, .1) = 86.64%

mean of 72 and a standard deviation of 8. 7. The grades on a statistics midterm exam were normally distributed with a mean of 72 and a standard deviation of 8. What is the proportion of students received a B grade. b. What is the probability that a randomly selected student received between a 65 and 85? c. What is the percent of students that failed the exam? =Normalcdf (80, 89, 72, 8) = 0.1419 =Normalcdf (65, 85, 72, 8) = 0.7571 =Normalcdf (-1E99, 69, 72, 8) = 35.38%