The collection, organization and interpretation of data. What do you remember about stats?

Transcription

1 Statistics The collection, organization and interpretation of data Dec 4 10:25 AM What do you remember about stats? Dec 4 10:26 AM 1

2 Mean Median Mode Range By: Sarah Capehart EDTC East Carolina University Special Education Mar 27 7:13 PM Always Remember, You Must Put Your Numbers In Order From Least To Greatest Before Moving On! n The total # of values is called "n" Apr 3 10:28 PM 2

3 How to find the Mean! The mean is all the numbers in the sequence added together and then divided by the amount of numbers in the sequence(n). Mean Let's Try! If you have 1,2,3,3,4,5 you would: 1. add the numbers together 2. divide by n Practice Makes Perfect! 4, 6, 9, 9, 13 5, 8, 10, 12, 12, 18, 26 Real Life Example: If Tony wanted to find the average (mean) of all his quiz scores, what would it be? Quiz scores: 98, 86, 100, 76, 97, 89, 100 pull the blue tab for the right answer 3

4 median The middle number in the series 1, 2, 3, 3, 4, 5, 8 You can find the median by starting from the outside and marking out a number from each side until you can find the one in the middle. median When there are many values 1, 2, 3, (8 values)..., 4, 5, (10 values)..., 8 the position of the median: divide n by 2 If n is even, use n/2 and the next value: take the average of the 2 n = 24 24/2 = 12 Find the 12th and 13th value and divide by 2 (4 + 5)/2 = 4.5 4

5 Practice! Practice! Practice! 4, 6, 9, 9, 17 What Ww What if there are 2 values in the middle? Take the average of the 2 5, 8, 9, 10, 12, 12, 18, 26 3, 10, 11,14, 20, 22, 27, 33 pull the green tab for the right answers What if there are a lot of numbers How do I find the middle value? Dec 4 10:41 AM 5

6 Mode The number used most frequently. 1, 2, 3, 3, 4, 5, 8 3 is the most frequent Mode: Practice 1, 3, 5, 7, 7, 9, 11 2, 4, 6, 8, 10, 12, 14, 14, 16 pull the tab for the answers 6

7 RANGE The smallest number subtracted from the largest number. 1, 2, 3, 3, 4, 5, =7 7 is the range Apr 3 9:54 PM RANGE: Practice 1, 3, 5, 7, 7, 9, = 2, 4, 6, 8, 10, 12, 14, 14, = Apr 3 9:54 PM 7

8 Sort the keywords to see if you can remember each word and definition. Word Mean Mode Range Median Description All the numbers added together and then divided by the amount of numbers in the sequence. The number used most frequently. The difference between the highest and lowest value. The number in the middle of the series. Practice: group activity One student volunteer to record #'s on the white board Roll the die(just touch it) below and keep rolling to come up with: a)4 different numbers (record all the numbers) b)1 repeated number Record all your numbers for each roll on the white board Put them in order Find the mean, median, mode, and range of the numbers. Pull It is important to constantly remind students to list numbers from least to greatest. Mar 27 7:26 PM 8

9 Next class What to do now: 1. Get a set of dice 2. Roll 7 times record 6 different numbers and one repeating number 3. Roll 9 times record 8 different numbers and one repeating number 4. Find the mean, median, mode, and range of each Apr 3 10:56 PM Class Polls 1. What sweets do you want for our party Friday? a. Cupcakes: 3 b. Cookies: 7 c. Cake: 2 d. Brownies: 11 e. Doughnuts: 2 4. What snack do you want for our party on Friday? a. Popcorn: 9 b. Chips: 11 c. Cheese Doodles: 1 d. ChexMix:3 e. Pretzels: 1 2. What drinks do you want for our party on Friday? a. Mt. Dew: 8 b. Pepsi: 5 c. Fruit Punch: 3 d. Dr. Pepper: 6 e. Sprite: 3 3. What activity do you want to do for our party on Friday? a. Movie: 5 b. Games: 4 c. Free Time: 4 d. Outside: 12 e. Gym: 0 5. What type of candy do you want for our party on Friday? a. Smarties: 4 b. Skittles: 2 c. Starburst: 5 d. ReeseCups: 8 e. Snickers: 1 f. M&Ms: 3 g. Jelly Beans: 2 6. When do you want to have our party on Friday: a. Break: 6 b. Lunch: 6 c. End of the day: 13 Apr 4 12:31 AM 9

10 Glogster Tutorial: Glogster: Apr 3 11:15 PM We will be presenting our Glogsters tomorrow! Apr 3 11:31 PM 10

11 Review Mean Median Mode Range add numbers then divide the number in the middle the number used the most the smallest number subtracted from the largest number Apr 4 2:20 AM Resources: NC Common Core Standards: Use random sampling to draw inferences about a population. 7.SP.1. Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences. 7.SP.2. Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions. For example, estimate the mean word length in a book by randomly sampling words from the book; predict the winner of a school election based on randomly sampled survey data. Gauge how far off the estimate or prediction might be. NC Essential Standards: 7th Grade Information and Technology Skills 7.TT.1 Use technology and other resources for assigned tasks. Arvai, P. (2001). Prezi. Retrieved from Education world: Teacher tools and templates. (2009). Retrieved from Lever Duffy, J., & McDonald, J. (2011). Teaching and learning with technology. (4 ed., p. 154). Boston, MA: Pearson Education, Inc. Apr 4 2:14 AM 11

12 Nov 25 4:36 PM 12