1. Unit 6: Statistics Ms. Nau- 6 th Grade Math Week 1

2. The Standards O Remember the standards are the concepts we will need to master at the end of the Unit! O Week 1: MCC6.SP.1 and SP.3 O Recognize a statistical question as one that antici[ates variability in the data related to the question and accounts for it in the answers O Recognize that a measure of center for a numerical data set summarizes all of its values with a sungle number, while a measure of variation describes how values vary with a single number

3. In other words… O We will know that a statistical question will receive many different answers O And how to calculate measures of center like mean, median, mode and range

4. Reaching our Goals! O To keep the standards in mind and reach mastery of each concept we will create a concept map! O Underline Verbs and Circle Nouns O To explain outliers

5. Tuesday February 10, 2015 O DO NOW: O Have your Concept Map out on your desk O Read through the Statistical Question handout with a partner

6. Essential question O What constitutes a good statistical question? O At the end of today’s lesson, we should be able to to identify a Statistical question

7. But First! O What is a statistical question? O It is a question that can have a variety of answers O They are used to collect data and sort information

8. Examples How many pizzas were sold each day this week at lunch? What is the house number of each person in my class? How are the students in my school? O All of these questions have multiple answers to them!

9. Non-Examples O How many pizzas were sold today? O What is my house number? O How old am I? O All of these questions have only 1 answer

10. For Better Understanding O http://www.schooltube.com/video/2776776 5d2824c0ca043/Statistical%20Questions

11. Activity O With a partner, list the examples and non examples of a statistical question in your T- chart. O 15 minutes

12. Discussion O What questions do you have in your example column? Non-examples?

13. Ticket out the Door O 1.What is your favorite car? Statistical or Not Statistical (Circle one) O 2.Who is a middle school student’s favorite basketball team? Statistical or Not Statistical (Circle one) HOMEWORK: Create 3 Statistical Questions of your own!

14. Wednesday February 11, 2014 O QUICK TASK: Decide if the following questions are statistical. Write yes or no O How many days are in March? O How old are the dogs on this street? O How many bricks are in this wall? O What was the highest temperature today in town?

15. Essential Question O How do I find the mean, median, mode, and range? O At the end, of today’s lesson, we should be able to define and find mean, median, mode and range

16. Measures of Central Tendency O This term describes a set of data. They are types of average. O The mean, median (average) and mode are all measures of central tendency

17. The Mean (average) O To find the mean, add all the values in the data set. Then divide by the number of values O ALWAYS write values in increasing order

18. Mean: Example O Ex: Find the Mean of 6,4,10,11,4 O Step 1: ORDER 4,4,6,10,11 O Step 2: ADD  4 + 4 + 6 + 10 + 11 = 35 O Step 3: Divide by the number of values. There are 5 values  35 ÷ 7 = 7 O The MEAN of the data is 7

19. You try! O Find the mean of 8,33, 20, 11, 6 and 12 O Step 1  O Step 2  O Step 3  O Then mean is ___

20. The Median O The middle number when all the data values are in order from smallest to largest. O If there are two numbers in the middle ( an ODD number of VALUES) Find the mean of the two numbers

21. Median: Example O Ex: Find the median of 2, 8, 9, 5, 6, 7, and 4 O Step 1: ORDER  2,4,5,6,7,8,9 O Step 2: Find the middle number O 2, 4,5, 6, 7, 8, 9 O 6 is the median O You TRY!: Find the median of 8, 33, 20, 11, 6, 12

22. Mode: The MOST O The mode is the value that occurs the most. O You can have “no mode” or more than one mode. O Find the mode of 6, 4, 10, 11, and 4 O Mode = 4

23. You try! O Find the mode: 8, 33, 20, 11, 6, 12 O Find the mode: 1, 3, 4, 5, 6, and 3 O Find the mode: 15, 62, 76, 62

24. Mearsures of S P R E A D O Also known as variation O Explains how spread out your data is, or how much it varies O We will look at two measures of spread: Range and Interquartile Range (IQR)

25. Range O This is the difference of the highest and lowest values in the data set. O Just subtract! O Example  20, 13, 22, 17, 28, 10, 25 O Highest: 28 O Lowest: 10 O 28-10= 18

26. Interpreting Range O What does a LARGE range tell you about the data? O What does a small range tell you about the data?

27. Interquartile Range O The IQR is the range between the upper Q 3 and lower Q1 quartile in a box plot. O Q3- Q1 O What does the size of your IQR tell you about the data?

28. Ticket Out the Door O Find the mean, median, mode and range of the given data O 15,18,14,9,14

29. Thursday February 12, 2015 O QUICK TASK O Find the mean, median, mode and range of the data: O 11, 10, 20, 8, 9, 16, 17

30. Partner Activity O Complete the following worksheet with your partner O Show ALL work on a separate sheet of paper O You may use a calculator /device for help O Finish worksheet and study for homework!