Homework Questions. Measures of Center and Spread Unit 5, Statistics.

Slides:



Advertisements
Similar presentations
Ex1E median, the interquartile range, the range and the mode.
Advertisements

DESCRIBING DISTRIBUTION NUMERICALLY
T-6 Five Number Summary. Five Number Summary Includes: Minimum: the lowest value in the data set Lower Quartile (Q1): the 25 th percentile Median: the.
Unit 1.1 Investigating Data 1. Frequency and Histograms CCSS: S.ID.1 Represent data with plots on the real number line (dot plots, histograms, and box.
Statistics and Probability (Day 1) 13.2 Measures of Center and Spread
Introduction to Summary Statistics
Descriptive Statistics
Business Statistics: A Decision-Making Approach, 6e © 2005 Prentice-Hall, Inc. Chap 3-1 Introduction to Statistics Chapter 3 Using Statistics to summarize.
Homework Questions. Quiz! Shhh…. Once you are finished you can work on the warm- up (grab a handout)!
Statistics: Use Graphs to Show Data Box Plots.
Ways to Describe Data Sets
5 Number Summary, Boxplots, Outliers, and Resistance
Box and Whisker Plots and the 5 number summary Chapter 6 Section 7 Ms. Mayer Algebra 1.
Describing Data: Numerical
Programming in R Describing Univariate and Multivariate data.
STA Lecture 111 STA 291 Lecture 11 Describing Quantitative Data – Measures of Central Location Examples of mean and median –Review of Chapter 5.
Table of Contents 1. Standard Deviation
Section 1 Topic 31 Summarising metric data: Median, IQR, and boxplots.
Lecture 3 Describing Data Using Numerical Measures.
BUS304 – Data Charaterization1 Other Numerical Measures  Median  Mode  Range  Percentiles  Quartiles, Interquartile range.
3-5: Exploratory Data Analysis  Exploratory Data Analysis (EDA) data can be organized using a stem and leaf (as opposed to a frequency distribution) 
Warm-Up Define mean, median, mode, and range in your own words. Be ready to discuss.
Quantitative data. mean median mode range  average add all of the numbers and divide by the number of numbers you have  the middle number when the numbers.
Foundations of Math I: Unit 3 - Statistics
Comparing Statistical Data MeanMedianMode The average of a set of scores or data. The middle score or number when they are in ascending order. The score.
Summary Statistics and Mean Absolute Deviation MM1D3a. Compare summary statistics (mean, median, quartiles, and interquartile range) from one sample data.
Chapter 5 Describing Distributions Numerically.
BPS - 5th Ed. Chapter 21 Describing Distributions with Numbers.
Warm Up Simplify each expression
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.
Summary Statistics, Center, Spread, Range, Mean, and Median Ms. Daniels Integrated Math 1.
Unit 4: Probability Day 4: Measures of Central Tendency and Box and Whisker Plots.
Number of hurricanes that occurred each year from 1944 through 2000 as reported by Science magazine Histogram Dot plot Box plot.
Describing & Comparing Data Unit 7 - Statistics. Describing Data  Shape Symmetric or Skewed or Bimodal  Center Mean (average) or Median  Spread Range.
5 Number Summary, Boxplots, Outliers, and Resistance.
Chapter 5 Describing Distributions Numerically Describing a Quantitative Variable using Percentiles Percentile –A given percent of the observations are.
Shoe Size  Please write your shoe size on the board.  Girls put yours on the girl’s chart  Boys put yours on the boy’s chart.
Describe Quantitative Data with Numbers. Mean The most common measure of center is the ordinary arithmetic average, or mean.
AP Statistics 5 Number Summary and Boxplots. Measures of Center and Distributions For a symmetrical distribution, the mean, median and the mode are the.
Notes 13.2 Measures of Center & Spread
Chapter 3 Describing Data Using Numerical Measures
Chapter 5 : Describing Distributions Numerically I
Unit 6 Day 2 Vocabulary and Graphs Review
Warm Up Convert to degrees a) 3
Bell Ringer Create a stem-and-leaf display using the Super Bowl data from yesterday’s example
6th Grade Math Lab MS Jorgensen 1A, 3A, 3B.
Chapter 3 Describing Data Using Numerical Measures
Analyze Data: IQR and Outliers
Measures of central tendency
Unit 4 Statistics Review
Measure of Center And Boxplot’s.
Descriptive Statistics: Describing Data
The absolute value of each deviation.
11.2 box and whisker plots.
Measure of Center And Boxplot’s.
Warmup - Just put on notes page
Basic Practice of Statistics - 3rd Edition
Measures of central tendency
Measures of Central Tendency
Basic Practice of Statistics - 3rd Edition
Comparing Statistical Data
MCC6.SP.5c, MCC9-12.S.ID.1, MCC9-12.S.1D.2 and MCC9-12.S.ID.3
Numerical Descriptive Measures
Box and Whisker Plots.
Describing Distributions with Numbers
Warm-Up Define mean, median, mode, and range in your own words. Be ready to discuss.
Shape, Center, Spread.
Describing Data Coordinate Algebra.
Analyze Data: IQR and Outliers
Math 341 January 24, 2007.
Presentation transcript:

Homework Questions

Measures of Center and Spread Unit 5, Statistics

Mean The mean is more commonly known as the average. Represented by A six-month study of a busy intersection reports that the number of accidents per month as 3, 8, 5, 6, 6, 10. Find the mean.

Example 2 In the real estate section of the Sunday paper, the following house prices were listed. Find the mean. $98,000 $136,700 $210,000 $289,900 $315,500 $2,456,500

Median If the distribution is skewed, or contains extreme values, often the median is the best measure of center. It is the middle value of your data. 3, 4, 7, 8, 9, 11, 15 17, 22, 24, 30, 35, 40

Go back to home prices and find the median instead of the mean… $98,000 $136,700 $210,000 $289,900 $315,500 $2,456,500

Mode The mode is the data value that has the highest frequency, which means it occurs the most often in the list of data. NOTE: if every value in the data occurs the same number of times there is no mode. If two or more repeat the same number of times the set is bimodal (2 values), trimodal (3 values), or multimodal.

Find the mode

Recall the shapes… For a symmetric distribution, the mean and median are equal

Recall the shapes… For a distribution skewed to the right, the mean is to the right of the median

Recall the shapes… For a distribution skewed to the left, the mean is to the left of the median.

Standard Deviation I am not going to teach you how to find this by hand, but you do need to know what it is… The Standard Deviation is the most common measure of variability (the spread of the data) and is best used when data is symmetric. It measures the average distance of a piece of data to the mean.

CALCULATOR TIME!! Type this into L1 on your calc and find: = Med = Mode = Standard Deviation =

Your turn… 85, 91, 99, 101, 105, 109, 111, 119, 125 = Med = Mode = Standard Deviation =

Range The range is the difference between the maximum and minimum data values. 85, 91, 99, 101, 105, 109, 111, 119, 125 Range is 125 – 85 = 40

Interquartile Range Example: 5, 8, 4, 4, 6, 3, 8 Put them in order: 3, 4, 4, 5, 6, 8, 8 Half way is the Q 2 Half of the 1 st half is Q 1 Half of the 2 nd half is Q 3 IQR = Q 3 - Q 1

Find the IQR and the 5 Number Summary Five Number Summary –  Minimum, Q 1, Median, Q 3, Maximum 1, 3, 3, 4, 5, 6, 6, 7, 8, 8

Box Plot You can use the 5 Number Summary to create a box plot of the data.

Your turn… Find the 5 number summary, IQR, and create a box plot of the data 85, 91, 99, 101, 105, 109, 111, 119, 125

Homework Section 13.2 Worksheet