Warm-Up 1.The probability distribution for the number of games played in each World Series for the years 1923–2004 is given below. Find the expected number.

Slides:

Advertisements

Similar presentations

Ch 11 – Probability & Statistics

Advertisements

Statistical Reasoning for everyday life

DESCRIBING DISTRIBUTION NUMERICALLY

Describing Distributions With Numbers

Measures of Central Tendency and Variation 11-5

Lesson 4 Compare datas.

Unit 4 – Probability and Statistics

Warm Up Simplify each expression. – 53

. Is it statistical? Dot plots and mean Median, Mode, and Best Measure of Central Tendency Range, Quartiles, and IQR Outlier and Mean Absolute Deviation.

LECTURE 12 Tuesday, 6 October STA291 Fall Five-Number Summary (Review) 2 Maximum, Upper Quartile, Median, Lower Quartile, Minimum Statistical Software.

13.2: Measuring the Center and Variation of Data Kalene Mitchell Allie Wardrop Sam Warren Monica Williams Alexis Carroll Brittani Shearer.

Descriptive statistics Describing data with numbers: measures of variability.

Objectives Vocabulary

Presentation 1-1 Honors Advanced Algebra Morton, Spring 2014.

 The data set below gives the points per game averages for the 10 players who had the highest averages (minimum 70 games or 1400 points) during the

McGraw-Hill/IrwinCopyright © 2009 by The McGraw-Hill Companies, Inc. All Rights Reserved. Chapter 3 Descriptive Statistics: Numerical Methods.

Objectives Create and interpret box-and-whisker plots.

6-9 Data Distributions Objective Create and interpret box-and-whisker plots.

McGraw-Hill/Irwin Copyright © 2010 by The McGraw-Hill Companies, Inc. All rights reserved. Chapter 3 Descriptive Statistics: Numerical Methods.

Holt McDougal Algebra 2 Measures of Central Tendency and Variation Check It Out! Example 3 Make a box-and-whisker plot of the data. Find the interquartile.

Holt McDougal Algebra 2 Measures of Central Tendency and Variation Measures of Central Tendency and Variation Holt Algebra 2Holt McDougal Algebra.

INVESTIGATION 1.

Measures of Spread 1. Range: the distance from the lowest to the highest score * Problem of clustering differences ** Problem of outliers.

Measures of Center vs Measures of Spread

Numerical Measures of Variability

What are the effects of outliers on statistical data?

6-8 Measures of Central Tendency and Variation Objective Find measures of central tendency and measures of variation for statistical data. Examine the.

BPS - 5th Ed. Chapter 21 Describing Distributions with Numbers.

Warm Up Simplify each expression

Chapter 3 Averages and Variation Understanding Basic Statistics Fifth Edition By Brase and Brase Prepared by Jon Booze.

Notes Unit 1 Chapters 2-5 Univariate Data. Statistics is the science of data. A set of data includes information about individuals. This information is.

AP Statistics HW: p #39, 43,44, 45 Lab due next class Obj: to use variance and standard deviation Do Now: 1.Make a modified box plot for the # of.

1.4 Defining Data Spread An average alone doesn’t always describe a set of data effectively or completely. An average doesn’t indicate whether the data.

Variability Introduction to Statistics Chapter 4 Jan 22, 2009 Class #4.

How Can We Describe the Spread of Quantitative Data? 1.

Descriptive statistics Describing data with numbers: measures of variability.

MODULE 3: DESCRIPTIVE STATISTICS 2/6/2016BUS216: Probability & Statistics for Economics & Business 1.

1 1 Slide © 2003 South-Western/Thomson Learning TM Chapter 3 Descriptive Statistics: Numerical Methods n Measures of Variability n Measures of Relative.

Statistics and Data Analysis

Holt McDougal Algebra Data Distributions Warm Up Identify the least and greatest value in each set Use the data below to make a stem-and-

COMPUTATIONAL FORMULAS AND IQR’S. Compare the following heights in inches: BoysGirls

Economics 111Lecture 7.2 Quantitative Analysis of Data.

Holt McDougal Algebra Measures of Central Tendency and Variation Recall that the mean, median, and mode are measures of central tendency—values.

Statistics Unit Test Review Chapters 11 & /11-2 Mean(average): the sum of the data divided by the number of pieces of data Median: the value appearing.

Describe Quantitative Data with Numbers. Mean The most common measure of center is the ordinary arithmetic average, or mean.

Holt McDougal Algebra 1 Data Distributions Holt Algebra 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz Holt McDougal.

Measures of Central Tendency and Variation

6.1 - Measures of Central Tendency and Variation

6.1 - Measures of Central Tendency and Variation

6.1 - Measures of Central Tendency and Variation

CHAPTER 1 Exploring Data

Warm Up What is the mean, median, mode and outlier of the following data: 16, 19, 21, 18, 18, 54, 20, 22, 23, 17 Mean: 22.8 Median: 19.5 Mode: 18 Outlier:

8.1 - Measures of Central Tendency and Variation

Do-Now-Day 2 Section 2.2 Find the mean, median, mode, and IQR from the following set of data values: 60, 64, 69, 73, 76, 122 Mean- Median- Mode- InterQuartile.

Section 9.2: Data Distributions and Outliers

Warm – Up Find the Mean, Median, Mode, IQR and Standard Deviation of the age of a room containing 5 people. Ages: 16, 18, 17, 16, 19. Calculate all values.

6.1 - Measures of Central Tendency and Variation

Chapter 8 Review Showdown.

The absolute value of each deviation.

AP Statistics Day 5 Objective: Students will be able to understand and calculate variances and standard deviations.

Exploratory Data Analysis

Measures of Central Tendency and Variation 8-1

Lesson Compare datas.

Statistics Vocabulary Continued

MCC6.SP.5c, MCC9-12.S.ID.1, MCC9-12.S.1D.2 and MCC9-12.S.ID.3

Describing Distributions with Numbers

The data sets {19, 20, 21} and {0, 20, 40} have the same mean and median, but the sets are very different. The way that data are spread out from the mean.

Statistics Vocabulary Continued

Statistics Standard: S-ID

Warm up Honors Algebra 2 3/14/19

Presentation transcript:

Warm-Up 1.The probability distribution for the number of games played in each World Series for the years 1923–2004 is given below. Find the expected number of games in a World Series. 2.Make a box-and-whisker plot and find the IQR {5,3,9,2,14,6,8,9,5,8,13,3,15,7,4,2,12,8} Number of Games n in World Series 4567 Probability of n Games5/27 6/2711/27

Measures of Variation The data sets {19, 20, 21} and {0, 20, 40} have the same mean and median, but the sets are very different. The way that data are spread out from the mean or median is important in the study of statistics. A measure of variation is a value that describes the spread of a data set. The most commonly used measures of variation are the range, the interquartile range, the variance, and the standard deviation.

Measures of Variation The variance, denoted by σ 2, is the average of the squared differences from the mean Standard deviation, denoted by σ, is the square root of the variance Low standard deviations= data clustered near the center High standard deviations=data that are spread out from the center

Measures of Variation-How Do We Find It?

Examples Find the mean and standard deviation for the data set of the number of people getting on and off a bus for several stops. {6, 8, 7, 5, 10, 6, 9, 8, 4}

Examples Find the mean and standard deviation for the data set of the number of elevator stops for several rides. {0, 3, 1, 1, 0, 5, 1, 0, 3, 0}

Outliers An outlier is an extreme value that is much less than or much greater than the other data values. Outliers have a strong effect on the mean and standard deviation. There are different ways to determine whether a value is an outlier. One is to look for data values that are more than 3 standard deviations from the mean.

Outliers Find the mean and the standard deviation for the heights of 15 cans. Identify any outliers, and describe how they affect the mean and the standard deviation. Can Heights (mm)

Outliers In the American League Championship Series, the New York Yankees scored the following numbers of runs against the Boston Red Sox: 2, 6, 4, 2, 4, 6, 6, 10, 3, 19, 4, 4, 2, 3. Identify the outlier, and describe how it affects the mean and standard deviation.