Data Analysis Essentials
Explore the importance of including all data, even with repeating values, understand what the median of a box plot tells us and how quartiles describe data distribution. Dive into examples such as toothbrush frequency and lip length measurements to grasp statistical concepts effectively.
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Presentation Transcript
Essential Questions Why is it important to include all data even when the data set has repeating values? What does the median of a box plot tell us about the rest of the data How can you use quartiles to describe the data?
WARM UP http://openclipart.org/detail/8253/toothbrush-and- toothpaste-by-gerald_g-8253 How many times per day do you brush your teeth? 1. Create a box plot of the following responses. 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 5 2. How did you determine the median? Q1? Q3?
http://www.nidcr.nih.gov/NR/rdonlyres/2C0002BC-BB25-442C-BF28-http://www.nidcr.nih.gov/NR/rdonlyres/2C0002BC-BB25-442C-BF28- 6FD1B11B1204/3243/rinseandspit.gif SWISH AND SPIT Box Plot Lesson
Mr. Swish http://outlookcolumbus.com/2012/03/earthtalk-3-12-12/ Mr. Swish, owner of the Swish and Spit Mouthwash Company had assigned his research team to design a new single use mouthwash container for travelers to pack in their suit cases.
Mr. Swish Mr. Swish has asked his product research team to measure the lengths of the mouths of 20 random people from corner to corner to determine how wide to make the opening of the single serve containers. If the container is wider than a person s mouth, the mouthwash will spill and be wasted. http://www.presentationmagazine.com/lips-clip-art- 2727.htm
Lip Length Data in Millimeters 60 45 47 55 55 48 47 60 42 46 62 44 48 47 52 50 48 65 62 50 How do we find the median of this data set? What is the minimum value? Maximum value?
Order the Lip Length data in the workspace of your worksheet. 42,44,45,46,47,47,47,48,48,48,50,50,52,55,55,60,60,62,62,65 1. Why is it important to include all data even when the data set has repeating values?
Lip Lengths in millimeters Mark the median on the data set. 42,44,45,46,47,47,47,48,48,48,50,50,52,55,55,60,60,62,62,65 1. What is the numerical value of the median? How do you know? 2. By marking the median, what do we know about the rest of the data in the data set?
Lip Lengths in Millimeters Determine and mark the median of the lower half of the data and repeat for the upper half of the data on your worksheet. 42,44,45,46,47,47,47,48,48,48,50,50,52,55,55,60,60,62,62,65 Your data is now divided into how many parts? What are these parts called? How do we find the measure of Q3?
Using the data on your Spit and Swish worksheet, create your box plot and label the quartiles using Q1, Median, and Q3. Label the minimum and maximum values. http://www.presentationmagazine.com/lips-clip-art- 2727.htm
Lip Lengths in Millimeters Q1 Q3 Maximum Median Minimum
Median Q3 Q1 Maximum Minimum How can you use quartiles to describe the data? In the context of the data, what information does the range give?
Spit and Swish Report http://healthylogica.blogspot.com/2012/06/some-of-triggers-of- cancer-which-is.html Discuss with your partner questions 1-4 on the Spit and Swish worksheet. Fill in the answers, and turn in your worksheet. Make sure the entire paper is completed and all partner names are at the top.
Essential Questions Why is it important to include all data even when the data set has repeating values? What does the median of a box plot tell us about the rest of the data How can you use quartiles to describe the data?
