Box Plots and Histograms

Slide 1: Click here to Choose Your Goal get started! What is a Represent box and data using whisker a histogram plot? Represent Interpret data using data using a box and a histogram whisker Interpret plot data using Analyze a box and data using whisker a histogram Analyze plot data using a box and What is a whisker histogram? plot

Slide 2: What is a histogram? A bar graph that represents a table of A bar graph averages A graph that that is represents similar to a a frequency line plot distribution A graph that shows I don’t data over know history

Slide 3: Bee-utiful!!!!! Click here for the next question!

Slide 4: Look at the histogram on page 9. How much more frequently was the regular peanut butter rated in the 30-50 range than in the 10-20 range? 5 times more frequently 10 times 3 times more more frequently frequently 12 times more I don’t frequently know

Slide 5: You got it, honey!!!!! Click here for the next question!

Slide 6: How does changing the interval width affect the appearance of your histogram? The smaller the interval range, the easier it is The larger The smaller to see large the interval the interval quantities range, the range, the of data more easier it is difficult it is to see to clusters of determine data variability The larger the interval range, the I don’t easier it is know to determine variability

Slide 7: You are buzzing right along!!!!! Click here for the next question! Check in with Mrs. R.

Slide 8: What is a box and whisker plot? A plot that represents a table of averages A graph A plot that that is indicates similar to a where half square pie of the data chart are clustered A graph that shows how data I don’t changes know over time

Slide 9: Flying through!!!!! Click here for the next question!

Slide 10: Look at the box plot on page 13. What conclusion could you draw from the graph? Natural peanut butter is ranked Most better than Natural Regular Regular peanut peanut butter is butter better for received a you rating of 30-40 Most Natural peanut I don’t butter know received a rating of 40-50

Slide 11: You really stung that one!!!!! Click here for the next question!

Slide 12: When comparing two or more box plots, why is it important to make sure that they all use the same interval range? The smaller the interval range, the easier it is The larger The smaller to see large the interval the interval quantities range, the range, the of data more easier it is difficult it is to see to clusters of determine data variability The larger the interval range, the I don’t easier it is know to determine variability

Slide 13: When comparing two or more box plots, why is it important to make sure that they all use the same interval range? The smaller the interval range, the easier it is The larger The smaller to see large the interval the interval quantities range, the range, the of data more easier it is difficult it is to see to clusters of determine data variability The larger the interval range, the I don’t easier it is know to determine variability

Slide 14: Way to bee!!!!! Click here Check in to choose Click here to with Mrs. R. an activity return to the main page

Slide 15: Choose a goal Choose Your Goal or activity! What is a Represent box and data using whisker a histogram plot? Represent Interpret data using data using a box and a histogram whisker Interpret plot data using Analyze a box and data using whisker a histogram Analyze plot data using a box and What is a whisker histogram? plot Choose activities

Slide 16: Histograms • Look up the definition of a histogram • Read about histograms on p.87, find examples on p.9-11 • Find out when to use a histogram (skim and scan) • Find out more about histograms and histographs On your notes page, answer the following: 3. Define histogram 4. Explain the difference between a histogram and a histograph Click here to make a histogram

Slide 17: Making a Histogram Right Click and select Score Frequency DIRECTIONS: “End Show”. 0- 3 Click here to open a dice rolling program. Input 2d6 Double click for the file 4- 6 for the dice type. to open as an Excel 7- 9 Roll 25 times and record your results in the blue table document. 10- 12 to the left. When you finish, print Then, fill in the yellow frequency chart using the score this slide and resume ranges provided. This will automatically record your the slide show from Roll # Score data in the histogram below. this slide. 1 Add a title to your graph and print. 2 3 Name: 4 5 Title Goes Here 6 7 8 1.2 9 10 1 Frequency 11 0.8 12 13 0.6 Frequency 14 0.4 15 16 0.2 17 0 18 19 3 6 9 12 20 21 Score 22 23 24

Slide 18: Bee-Utiful! Great Work! Remember, a Click here to histogram go to the shows next frequency! question!

Slide 19: Interpreting Histograms • Think about the following statistical measures: – Mode (occurs most often) – Median (number in the middle) – Range (max – min) – Mean (total sum / total number) What would you have to do to find each measure on a histogram? Find each of these measures for the histogram on p.9 (answer on notes page). Click here to move on!

Slide 20: Interpreting Histograms • Read “Getting Ready for Problem 1.2 on p.10 • Answer questions 19-21 on p.20 (on your notes page) Great! Click here for the next question!

Slide 21: Analyzing Histograms • Find out what happens when you change the i • See how the histogram and its associated stat • Answer question 33 on p.24 (on your notes page) Wonderful! Click here for the next question! Check in with Mrs. R.

Slide 22: What is a Box and Whisker Plot? • Read the definition on p.86 • Read pages 12 and 13 • Visit this site to learn more about Box and Whisker P Click here On your notes page: to create a box plot! Describe a box and whisker plot List the statistics involved in creating a five number summary

Slide 23: Make a Box and Whisker Plot The following slides provide you with a tool to make a box and whisker plot. What is a Box and Whisker Plot? Make a Box When is a and Box and Whisker Whisker Plot Plot Useful?

Slide 24: When is a Box and Whisker Plot useful? • Box plots are useful for identifying outliers and for comparing distributions. – What is an outlier? Click to go back!

Slide 25: Instructions Box-and-Whisker Plot The data points are shown as blue diamonds below the box-and-whisker plot. How to drag-and-drop a datum point: click on a datum point to highlight the data or series (all the points change shape and color) 1) click again on a particular point (this is not a double click) 2) when the cursor changes from the arrow to a cross ( ), click and hold to drag point to new value 3) the point to drag will get dashed guidelines to its two nearest neighboring points 4) vertical or horizonal change is easiest to do - here we want to drag horzontally 5) you can change any of the points in the series, just click 6) Click here OR to create a Input your data in the yellow column at the left. box plot! Sinex 2005

Slide 26: Box-and-Whisker Plot data 2 1 ave-sd 9.436066 2 5 3 1 average = 28.92308 2 30 1 ave+sd 48.41009 2 26 3 4 4 1 26 5 45 1 max = 61 3 20 1 min = 2 20 3 61 1 75th quar 45 45 3 2 20 1 25th quar 20 45 5 28.9 45 1 20 5 1 42 1 75th quar 45 4 20 3 2.03.04.0 20.0 24.0 26.0 30.0 42.0 45.0 54.0 54 1 max = 61 4 0 26 1 25th quar 20 4 01 10 20 30 40 min = 50 60 24 2 4 mean = 28.9 median = 26.0 Play shooting sheep on plus and minus one sigma portaportal.com. Record sigma = 19.49 your times up to 13 times on your notes page. Use this The red diamond is the average or mean of the data points (do not try to drag it). data to create your own Box and Whisker Plot. Right Click and select “End Show”. Double click for the file to open as an Excel document. Sinex 2005 Input your data in the yellow column. Print this slide when you are finished. (File, Print, Current Slide) Resume the slide show from this slide.

Slide 27: Bee-Utiful work! Click here for the next question!

Slide 28: Interpreting Box and Whisker Plots • Read some tips for interpreting box and whisk • Read pgs. 12-13 • Answer questions 7-12 on p.19 (on your notes page) Click here to move on!

Slide 29: Analyzing Box and Whisker Plots • See what happens to the plot and its associate • Answer question 26 on p.22 (on your notes page) Click here to move on!

Slide 30: Activities: Choose One or More (Finish for homework) Justify why box and whisker plots and Design a histograms Collect data are useful for flowchart and analyzing showing represent it data the steps to with a creating a Explore the links histogram on box plots and Answer 3 histogram / and a box histograms on questions box plot portaportal.com plot and write a from the statement for connection each link Create a explaining what s section poster you will learn (p.22-24) explaining from it and comparing histograms and box plots