Mean, Median, Mode & Range

Introduction

Understanding mean, median, mode, and range is actually very essential in your life.  Now, you are already familiar with the terms and what their actual definitions are...  But how does the mean, median, mode & range really pertain to your life? The #1 question to explore (that you always do in math class is...drum roll, please.) When will I ever use this? Today, you are going to find out.













Task

Your task is to explore the options & ideas of how mean, median, mode & range is going to be used in real-world situations. 





Process

Step 1:

Activate prior knowledge:

1. Go to the link http://www.flocabulary.com/statistics/ & listen to the Flocabulary Rap on MMM&R.  This will surely get your mind back to MMM&R. Maybe even dance a little?

2. Review your examples & definitions from your notes in your interactive notebook.

3. Ugh oh. Did you forget your notes? I expected this COULD happen. Click here to review these! http://hotmath.com/hotmath_help/topics/mean-median-mode.html

Step 2:

It's play time!

1. This interactive game is a sure way to help you create real-world connections about MMM&R.  Don't forget to brainstorm some of the questions for later. :) http://www.pbslearningmedia.org/resource/ea4d290e-7d88-43b6-b50f-5f3355df5e49/ea4d290e-7d88-43b6-b50f-5f3355df5e49/

Step 3:

Assessment:

  • Check the rubric in which you are being graded.
  • Take the quiz to see what you know here-> http://www.quia.com/rr/85370.html
  • Okay, so here is where your grade lies.  It is up to you to create a written composition in your notebook on MMM&R. Writing in Math? Why, of course!
  • Based on the questions that the game show asked of you to solve- what are some real-world situations in which you may find yourself using MMM&R?
  • Explain in a paragraph how you could apply mean, median, mode, and range to real-life.
  • Next, open up the worksheet & solve the questions on your own sheet. SHOW YOUR WORK!
  • Directions: Find the mean, median, mode, and range for my homework assignments and then for my quizzes and tests (you are calculating the mean, median, mode, and range for homework assignments and then a different mean, median, mode, and range for quizzes/tests). For each question you need to show all your work to get full credit!

    1. 1.       Science

    Homework:  49, 48, 39, 50, 44, 48, 47, 46, 47, 38, 46, 39, 47

    Quizzes/Tests: 99, 70, 81, 83, 95, 97, 85, 84, 91, 99

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

    1. 2.       English

    Homework: 35, 37, 41, 48, 42, 38, 43, 41, 42, 38, 49

    Quizzes/Tests: 74, 72, 83, 84, 88, 86,

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

    1. 3.       Math

    Homework: 50, 49, 48, 50, 47, 48, 44, 43, 49, 50, 41, 43.5, 44, 45, 47, 49

    Quizzes/Tests: 100, 99.5, 93, 98.5, 94, 102, 98, 95, 96

     

     

     

     

     

     

     

     

     

     

     

    1. 4.       History

    Homework: 29.5, 31, 37, 38.5, 49, 38, 41, 42, 40

    Quizzes/Tests: 99, 87, 83, 84, 87.5, 91, 97, 95, 94

     

     

     

     

     

     

     

     

     

     

     

    1. 5.       Reading

    Homework: 48, 47, 50, 39, 38, 42, 41, 37

    Quizzes/Tests: 87.5, 88, 83, 97.5, 96.5, 90

     

     

     

     

     

     

     

     

     

     

     

    For question 6-8 you need to write in complete sentences and give three examples from your calculations to support your answer.

    1. 6.       Considering my homework grades, what class do I have the best grade in? Explain why. 

     

     

     

    1. 7.       Looking at my test grades, what class do I have the best grade? Explain why.

     

     

     

    1. 8.       Now, thinking about both my homework grades and my test grades. What class do you think I have the best grade overall? Why?

EXTRA TIME:

Create teams & play against each other here:

http://www.quia.com/cb/445179.html

 







Evaluation

         
CATEGORY 4 3 2 1
Mathematical Concepts Explanation   shows complete understanding of the mathematical concepts used to solve the   problem(s). Explanation   shows substantial understanding of the mathematical concepts used to solve   the problem(s). Explanation   shows some understanding of the mathematical concepts needed to solve the   problem(s). Explanation   shows very limited understanding of the underlying concepts needed to solve   the problem(s) OR is not written.
Working with Others Student   was an engaged partner, listening to suggestions of others and working   cooperatively throughout lesson. Student   was an engaged partner but had trouble listening to others and/or working   cooperatively. Student   cooperated with others, but needed prompting to stay on-task. Student   did not work effectively with others.
Explanation Explanation   is detailed and clear. Explanation   is clear. Explanation   is a little difficult to understand, but includes critical components. Explanation   is difficult to understand and is missing several components OR was not   included.
Checking The   work has been checked by two classmates and all appropriate corrections made. The   work has been checked by one classmate and all appropriate corrections made. Work   has been checked by one classmate but some corrections were not made. Work   was not checked by classmate OR no corrections were made based on feedback.
Completion All   problems are completed. All   but one of the problems are completed. All   but two of the problems are completed. Several   of the problems are not completed.
Mathematical Terminology and Notation Correct   terminology and notation are always used, making it easy to understand what   was done. Correct   terminology and notation are usually used, making it fairly easy to   understand what was done. Correct   terminology and notation are used, but it is sometimes not easy to understand   what was done. There   is little use, or a lot of inappropriate use, of terminology and notation.
Conclusion

Great job! You have now completed your WebQuest on mean, median, mode & range.  You are now able to apply these concepts in real-world situations & have an answer to your question... When will I ever use this? :)

Credits

Credits to:

  • Flocab for your always entertaining & to the point videos this one being on Mean, Median, Mode & Range.
  • HotMath for your notes on MMM&R.
  • PBS.org for the Dunk game on MMM&R.
  • RubiStar for the evaluation rubric.
Teacher Page

This WebQuest was created for a 6th grade mathematics class.

by:

Chelsee K. Short

6th Grade Math Teacher

Common Core Standards:

CCSS.Math.Content.6.SP.A.3 Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number.