What is a box-and-whisker plot? 5-number summary Quartile 1 st, 2 nd, and 3 rd quartiles Interquartile Range Outliers.

Slides:

Advertisements

Similar presentations

C. D. Toliver AP Statistics

Advertisements

Measures of Dispersion boxplots. RANGE difference between highest and lowest value; gives us some idea of how much variation there is in the categories.

Additional Measures of Center and Spread

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.

Measures of Position - Quartiles

Warm Up. Lesson 54, Displaying Data in a Box-and- Whisker Plot Probability and Statistics.

Box and Whisker Plots A Modern View of the Data. History Lesson In 1977, John Tukey published an efficient method for displaying a five-number data summary.

Box and Whisker Plots and the 5 number summary Chapter 6 Section 7 Ms. Mayer Algebra 1.

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.

Box and Whisker Plots and Quartiles Sixth Grade. Five Statistical Summary When describing a set of data we have seen that we can use measures such as.

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

2-6 Box-and-Whisker Plots Indicator  D1 Read, create, and interpret box-and whisker plots Page

Chapter 3: Averages and Variation Section 4: Percentiles and Box- and-Whisker Plots.

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

Creating a Box-and-Whisker Plot O To create your own box-and-whisker plot, you must first find the following values. Lowest Value Lower Quartile Median.

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

Chapter 1: Exploring Data Lesson 4: Quartiles, Percentiles, and Box Plots Mrs. Parziale.

Continued… Obj: draw Box-and-whisker plots representing a set of data Do now: use your calculator to find the mean for 85, 18, 87, 100, 27, 34, 93, 52,

1 Further Maths Chapter 2 Summarising Numerical Data.

Warm-Up Define mean, median, mode, and range in your own words. Be ready to discuss.

Statistical Reasoning for everyday life Intro to Probability and Statistics Mr. Spering – Room 113.

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.

Box-And-Whisker Plots By Virginia Vimpeny Lewis. What information do we need? Minimum data value Lower Quartile Median Upper Quartile Maximum data value.

Percentiles For any whole number P (between 1 and 99), the Pth percentile of a distribution is a value such that P% of the data fall at or below it. The.

Chapter 2 Section 5 Notes Coach Bridges

Box and Whisker Plots Measures of Central Tendency.

Sample Box-and-Whisker Plot lower extreme, or minimum value 1st quartile, the median of the lower half of the data set 2nd quartile, the median of the.

Section 6.7 Box-and-Whisker Plots Objective: Students will be able to draw, read, and interpret a box-and- whisker plot.

Box and Whisker Plots and the 5 number summary Mr. J.D. Miles Turner Middle School Atlanta Georgia

Using Measures of Position (rather than value) to Describe Spread? 1.

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.

2-6 Box-and-Whisker Plots Indicator  D1 Read, create, and interpret box-and whisker plots Page

Unit 4: Probability Day 4: Measures of Central Tendency and Box and Whisker Plots.

Unit 3: Averages and Variations Part 3 Statistics Mr. Evans.

5-Number Summary A 5-Number Summary is composed of the minimum, the lower quartile (Q1), the median (Q2), the upper quartile (Q3), and the maximum. These.

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

5 Number Summary. Definition (Five-Number Summary) The five-number summary of a set of numbers consists of the five quantities – Minimum – 1st quartile.

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

Box and Whisker Plots. Vocabulary To make a box and whisker plot, we break the data in quartiles. The ________________ _________________ is the median.

Creating a Box-and-Whisker Plot O To create your own box-and-whisker plot, you must first find the following values. Lowest Value Lower Quartile Median.

Probability & Statistics Box Plots. Describing Distributions Numerically Five Number Summary and Box Plots (Box & Whisker Plots )

Making a Box & Whiskers Plot Give Me Five!. 5 Numbers are Needed 1) Lowest: Least number of the data set 2) Lower Quartile : The median of the lower half.

Statistics Vocab Notes Unit 4. Mean The average value of a data set, found by adding all values and dividing by the number of data points Example: 5 +

a graphical presentation of the five-number summary of data

Get out your notes we previously took on Box and Whisker Plots.

Box and Whisker Plots and the 5 number summary

Box and Whisker Plots and the 5 number summary

Unit 2 Section 2.5.

Box and Whisker Plots Algebra 2.

BOX-and-WHISKER PLOT (Box Plot)

Box and Whisker Plots.

Measures of Central Tendency

Statistics and Data (Algebraic)

Day 52 – Box-and-Whisker.

Mean As A Balancing Point

Box and Whisker Plots A.K.A Box Plots.

Box and Whisker Plots and the 5 number summary

Box and Whisker Plots and the 5 number summary

Box and Whisker Plots.

Box and Whisker Plots and the 5 number summary

5 Number Summaries.

Warm-Up Define mean, median, mode, and range in your own words. Be ready to discuss.

Box and Whisker Plots and the 5 number summary

BOX-and-WHISKER PLOT (Box Plot)

Statistics Vocab Notes

Tukey Box Plots Review.

Box Plot Lesson 11-4.

MATH 2311 Section 1.4.

Presentation transcript:

What is a box-and-whisker plot? 5-number summary Quartile 1 st, 2 nd, and 3 rd quartiles Interquartile Range Outliers

What is a Box-and-Whisker Plot? A box-and-whisker plot is a way of graphically depicting groups of numerical data through their 5-number summaries. Box-and-whisker plots are also known simply as: ~Box Plots Either term is acceptable.

Five-number Summary The five number summary is a set of numbers calculated from your collected data or numbers. 5-number summary consists of: Minimum- lowest observed value Quartile 1 or Q1 Median, also called Q2 Quartile 3 or Q3 Maximum- highest observed value

Quartile A quartile is the value of the boundary at the 20 th, 50 th, or 75 th percentiles of a distribution divided into four parts. Each quartile contains a quarter of the data.

1 st, 2 nd, and 3 rd Quartiles The first quartile, Q1, consists of the lower 25% of the data The second quartile, median or Q2, is the middle of the data. Also, it can be called the 50 th percentile. Half of the data falls on either side of this number. The third quartile, Q3, contains the upper 25% of the data.

Interquartile Range and Outliers Interquartile range is the difference between quartile 3, Q3, and quartile 1, Q1. Q3-Q1=IQR What can you do with the IQR? IQR helps in finding outliers Outliers are data that fall outside the distribution trend of data. Q1-(1.5*IQR)= Lower outliers Q3+(1.5*IQR)= Upper Outliers

What does a Box-and-Whisker Plot Look Like?