Box and Whisker Plots and the 5 number summary

Slides:

Advertisements

Similar presentations

Box and Whisker Plots and the 5 number summary

Advertisements

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

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.

6.SP Warm Up Use the data below for Questions , 25, 37, 53, 26, 12, 70, What is the mean? 2. What is the median? 3. What is the mode? 4.

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

Materials Reminders. Get out your agenda if you see your name below. You need to come to my room tomorrow. Period 2Period 7.

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,

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

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.

Box and Whisker Plots. Introduction: Five-number Summary Minimum Value (smallest number) Lower Quartile (LQ) Median (middle number) Upper Quartile (UP)

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

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

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

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.

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

Box and Whisker Plots Example: Comparing two samples.

Learn to display and analyze data in box-and-whisker plots. Course Box-and-Whisker Plots.

Box-and-Whisker Plots

Box and Whisker Plots or Boxplots

a graphical presentation of the five-number summary of data

Box and Whisker Plots.

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

Find the lower and upper quartiles for the data set.

Box Plots EQ: How do you analyze box plots?

Warm Up Convert to degrees a) 3

Lesson 6.7: Box-and-Whisker Plots

Measures of Position Quartiles Interquartile Range

Representing Quantitative Data

Vocabulary box-and-whisker plot lower quartile upper quartile

Box and Whisker Plots 50% Step 1 – Order the series.

BOX-and-WHISKER PLOT (Box Plot)

Box-and-Whisker Plots

Approximate the answers by referring to the box plot.

Mean As A Balancing Point

Box and Whisker Plots.

Measures of Central Tendency

Constructing Box Plots

Box-And-Whisker Plots

Define the following words in your own definition

Box & Whiskers Plots AQR.

Mean As A Balancing Point

12.4 Box-and-Whisker Plots

Box-and-Whisker Plots

Box-and-Whisker Plots

Comparing Statistical Data

1-4 Quartiles, Percentiles and Box Plots

Box-and-Whisker Plots

Box and Whisker Plots and the 5 number summary

Box-And-Whisker Plots

Box-And-Whisker Plots

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.

Box-and-Whisker Plots

BOX-and-WHISKER PLOT (Box Plot)

Ch. 12 Vocabulary 15.) quartile 16.) Interquartile range

Cumulative Frequency and Box Plots

Box Plot Lesson 11-4.

Number Summaries and Box Plots.

Bell Ringer Solve 8x-4=52 D.E.A.R.

Presentation transcript:

Box and Whisker Plots and the 5 number summary Interquartile Range

The 5 Number Summary The five number summary is another name for the visual representation of the box and whisker plot. The five number summary consist of : The median ( 2nd quartile) The 1st quartile The 3rd quartile The maximum value in a data set The minimum value in a data set

Constructing a box and whisker plot Step 1 - Find the median. Step 2 – Find the lower quartile. The median of the lower half Step 3 – Find the upper quartile. The median of the upper half Step 4 – Find the maximum and minimum values in the set. Step 5 – Draw the box-and-whisker plot

Constructing a box and whisker plot 18, 27, 34, 52, 54, 59, 61, 68, 78, 82, 85, 87, 91, 93, 100

The 5 Number Summary Organize the 5 number summary Median – 68 Lower Quartile – 52 Upper Quartile – 87 Max – 100 Min – 18

Graphing The Data Notice, the Box includes the lower quartile, median, and upper quartile. The Whiskers extend from the Box to the max and min.

Interquartile Range (IQR) The inter-quartile range (IQR) is the length of the box. It is the difference between the upper and lower quartiles. Upper Quartile = 87 Lower Quartile = 52 87 – 52 = 35 35 = IQR

Analyzing The Graph The data values found inside the box represent the middle half ( 50%) of the data. The line segment inside the box represents the median

Practice Use the following set of data to create the 5 number summary. 3, 7, 11, 11, 15, 21, 23, 39, 41, 45, 50, 61, 87, 99, 220

Median What is the median or 2nd quartile? The median is 39 3, 7, 11, 11, 15, 21, 23, 39, 41, 45, 50, 61, 87, 99, 220 The median is 39

Lower Quartile ( 1st Quartile ) What is the lower or 1st quartile? (3, 7, 11, 11, 15, 21, 23), 39, 41, 45, 50, 61, 87, 99, 220 The lower quartile is 11

Upper Quartile ( 3rd Quartile ) What is the upper or 3rd quartile? 3, 7, 11, 11, 15, 21, 23, 39, (41, 45, 50, 61, 87, 99, 220) The upper quartile is 61

Maximum What is the maximum? The max is 220 3, 7, 11, 11, 15, 21, 23, 39, 41, 45, 50, 61, 87, 99, 220 The max is 220

Minimum What is the minimum? The min is 3 3, 7, 11, 11, 15, 21, 23, 39, 41, 45, 50, 61, 87, 99, 220 The min is 3

The 5 Number Summary Median - 39 Lower Quartile - 11 Upper Quartile - 61 Max - 220 Min - 3