Compare the following heights in inches: BoysGirls 7261 7464 7065 6866 6968 7067 6865 6963 6762 7065 7166 67 64 66.

Slides:

Advertisements

Similar presentations

DESCRIBING DISTRIBUTION NUMERICALLY

Advertisements

3.3 Measures of Position Measures of location in comparison to the mean. - standard scores - percentiles - deciles - quartiles.

Quartiles  Divide data sets into fourths or four equal parts. Smallest data value Q1Q2Q3 Largest data value 25% of data 25% of data 25% of data 25% of.

Measures of Dispersion or Measures of Variability

Chapter 3 Numerically Summarizing Data

Five-Number Summary 1 Smallest Value 2 First Quartile 3 Median 4

1 Distribution Summaries Measures of central tendency Mean Median Mode Measures of spread Range Standard Deviation Interquartile Range (IQR)

Slides by JOHN LOUCKS St. Edward’s University.

Unit 3 Section 3-4.

Vocabulary for Box and Whisker Plots. Box and Whisker Plot: A diagram that summarizes data using the median, the upper and lowers quartiles, and the extreme.

BOX PLOTS/QUARTILES. QUARTILES: 3 points in a set of data that separate the set into 4 equal parts. Lower Quartile: Q1 (The median for the lower half.

Quartiles & Extremes (displayed in a Box-and-Whisker Plot) Lower Extreme Lower Quartile Median Upper Quartile Upper Extreme Back.

Warm Up! Write down objective and homework in agenda Lay out homework (comparing data sets) Homework (Review Sheet) Get a Calculator!!

GrowingKnowing.com © Percentile What ‘s the difference between percentile and percent? Percent measures ratio 90% percent on a test shows you.

Rules of Data Dispersion By using the mean and standard deviation, we can find the percentage of total observations that fall within the given interval.

1 1 Slide © 2009 Thomson South-Western. All Rights Reserved Slides by JOHN LOUCKS St. Edward’s University.

Measures of Position and Outliers. z-score (standard score) = number of standard deviations that a given value is above or below the mean (Round z to.

Copyright © 2005 Pearson Education, Inc. Slide 6-1.

Warm-Up If the variance of a set of data is 12.4, what is the standard deviation? If the standard deviation of a set of data is 5.7, what is the variance?

Part II  igma Freud & Descriptive Statistics Chapter 3 Viva La Difference: Understanding Variability.

Measures of Variability Variability. Measure of Variability (Dispersion, Spread) Variance, standard deviation Range Inter-Quartile Range Pseudo-standard.

Chapter 3 Numerically Summarizing Data 3.4 Measures of Location.

Teacher Notes This product is a PPT showing the step by step directions for creating a box and whisker plot. Also included are guided notes allowing students.

Percentiles and Box – and – Whisker Plots Measures of central tendency show us the spread of data. Mean and standard deviation are useful with every day.

Section 1 Topic 31 Summarising metric data: Median, IQR, and boxplots.

Measures of Position. ● The standard deviation is a measure of dispersion that uses the same dimensions as the data (remember the empirical rule) ● The.

Lecture 16 Sec – Mon, Oct 2, 2006 Measuring Variation – The Five-Number Summary.

The Median of a Continuous Distribution

INVESTIGATION 1.

© 2014 by Pearson Higher Education, Inc Upper Saddle River, New Jersey All Rights Reserved HLTH 300 Biostatistics for Public Health Practice, Raul.

Displaying Quantitative Data Graphically and Describing It Numerically AP Statistics Chapters 4 & 5.

Unit 3 Lesson 2 (4.2) Numerical Methods for Describing Data

Interquartile Range Lecture 21 Sec – Mon, Feb 23, 2004.

Measures of Center vs Measures of Spread

Numerical Measures of Variability

EXAMPLE 3 Standardized Test Practice SOLUTION From Example 2, you know the interquartile range of the data is 0.9 inch. Find 1.5 times the interquartile.

Summary Statistics and Mean Absolute Deviation MM1D3a. Compare summary statistics (mean, median, quartiles, and interquartile range) from one sample data.

Lecture 16 Sec – Wed, Feb 15, 2006 Measuring Variation 1.

Statistics topics from both Math 1 and Math 2, both featured on the GHSGT.

Box Plots March 20, th grade. What is a box plot? Box plots are used to represent data that is measured and divided into four equal parts. These.

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

Chapter 3.3 Quartiles and Outliers. Interquartile Range  The interquartile range (IQR) is defined as the difference between Q 1 and Q 3  It is the range.

Lecture 16 Sec – Tue, Feb 12, 2008 The Five-Number Summary.

Measures of Spread. How to find Quartiles Interquartile Range (IQR) The difference between the third and first quartiles of a data set.

Chapter 5 Describing Distributions Numerically Describing a Quantitative Variable using Percentiles Percentile –A given percent of the observations are.

Chapter 1 Lesson 4 Quartiles, Percentiles, and Box Plots.

Measures Of Dispersion : Grouped Data VARIANCE AND STANDARD DEVIATION.

StatisticsStatistics Unit 5. Example 2 We reviewed the three Measures of Central Tendency: Mean, Median, and Mode. We also looked at one Measure of Dispersion.

Measures of Variability Variability. Measure of Variability (Dispersion, Spread) Variance, standard deviation Range Inter-Quartile Range Pseudo-standard.

AP Statistics 5 Number Summary and Boxplots. Measures of Center and Distributions For a symmetrical distribution, the mean, median and the mode are the.

5,8,12,15,15,18,20,20,20,30,35,40, Drawing a Dot plot.

Chapter 4 – Statistics II

Box and Whiskers with Outliers

Statistics 200 Lecture #4 Thursday, September 1, 2016

Notes 13.2 Measures of Center & Spread

Descriptive Measures Descriptive Measure – A Unique Measure of a Data Set Central Tendency of Data Mean Median Mode 2) Dispersion or Spread of Data A.

Cumulative Frequency Diagrams

Measuring Variation Lecture 16 Sec – Mon, Oct 4, 2004.

Describing Distributions Numerically

Measuring Variation – The Five-Number Summary

Describe the spread of the data:

Section 3:3 Answers page #4-14 even

AP Statistics Day 4 Objective: The students will be able to describe distributions with numbers and create and interpret boxplots.

Statistics and Data (Algebraic)

Lesson Compare datas.

Statistics Vocabulary Continued

Box and Whisker Plots.

Measures of Variability

5 Number Summaries.

Statistics Vocabulary Continued

Presentation transcript:

Compare the following heights in inches: BoysGirls

Computational Formulas and IQR’s

Computational Formula: This is an easier computational formula that contains no rounding.

Let’s try it!

You try one!

Is the standard deviation affected by outliers?

The standard deviation is sensitive to extreme values.

The following data represents the heights of some students in my class. a.Find the mean & st. dev. b.What % are within 1 st. dev. Of the mean? c.What % are within 2 st. dev. Of the mean?

IQR – Interquartile Range This is the measure of variability that is not affected by outliers. It’s based on quartiles.

25% - This is the median of the lower ½ of the sample. - This is the median. - This is the median of the upper ½ of the sample.

Find IQR

Find IQR

Find IQR

If normal distribution – then you can estimate the standard deviation with the IQR. Standard Deviation *Can also be use to check to see if a distribution is normal – if much larger then it’s skewed.

Homework Worksheet Use the new formula to compute the standard deviation.

Now for the Lab!