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Central Tendency

Central Tendency . Central Tendency. Students paste these notes in journal and write down the examples for each found on the following slides. Mean - (average) 1- add all of the scores together 2- count how many scores there are 3- Divide the sum by the # of scores

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Central Tendency

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  1. Central Tendency

  2. Central Tendency Students paste these notes in journal and write down the examples for each found on the following slides. Mean- (average) 1- add all of the scores together 2- count how many scores there are 3- Divide the sum by the # of scores Median- (middle #) 1- Put all of the scores in order from least to greatest 2- If there are an odd number of scores, the median will be the # in the middle 3- If there is an even number of scores, find the mean of the 2 numbers in the middle. Mode- (most often) 1- The mode is the number that appears most often in a set of data. 2- If all of the numbers only appear 1 time each, then there will be NO MODE. (*The answer will not be 0 because 0 is a number). Range- (L to G) 1- Put all of the scores in order from least to greatest (* which you already do this to find the median) 2- What is the biggest #? What is the smallest #? 3- The range is the difference between the greatest # and least # in a set of data is the range. Outlier- (a # that is just “out” on it’s own) A number which is far removed from the other numbers in a data set.

  3. Find the mean, median, mode, and range of 2,8,3,8,4 Mean- (Average) 1- add all of the scores together 2- count how many scores there are 3- Divide the sum by the # of scores Show your work here:

  4. Mean- (Average) 1- add all of the scores together 2- count how many scores there are 3- Divide the sum by the # of scores Example: 2 + 8 + 3 + 8 + 4= 25 There are 5 scores 25 ÷ 5 = 5 Mean = 5 Find the mean, median, mode, and range of 2,8,3,8,4

  5. Find the mean, median, mode, and range of 2,8,3,8,4 Median- (Middle #) 1- Put all of the scores in order from least to greatest 2- If there are an odd number of scores, the median will be the # in the middle 3- If there is an even number of scores, find the mean of the 2 numbers in the middle. Show your work here:

  6. Median- (Middle #) 1- Put all of the scores in order from least to greatest 2- If there are an odd number of scores, the median will be the # in the middle 3- If there is an even number of scores, find the mean of the 2 numbers in the middle. Example 2,8,3,8,4 2,3,4,8,8 There is an odd # of scores, so the median is 4. Find the mean, median, mode, and range of 2,8,3,8,4 In order from Least to Greatest

  7. Find the mean, median, mode, and range of 2,8,3,8,4 Mode- (Most Often) 1- The mode is the number that appears most often in a set of data. 2- If all of the numbers only appear 1 time each, then there will be NO MODE. (*The answer will not be 0 because 0 is a number). show your work here:

  8. Mode- (Most Often) 1- The mode is the number that appears most often in a set of data. 2- If all of the numbers only appear 1 time each, then there will be NO MODE. (*The answer will not be 0 because 0 is a number). Example 2,3,4,8,8 Mode = 8 * if there had been 1 more 4 in this set of data the mode would have been 4 and 8. Find the mean, median, mode, and range of 2,8,3,8,4

  9. Use what you just learned to Find the mean, median, and mode of the following data: 19, 5, 20, 19, 19, 18, 5, 19, 20

  10. Use what you just learned to Find the mean, median, and mode of the following data: 19, 5, 20, 19, 19, 18, 5, 19, 20 in order from L to G: 5, 5, 18, 19, 19, 19, 19, 20, 20 mean= 5+5+18+19+19+19+19+20+20 = 144 144 ÷ 9 = 16 median = 19 (the # in the middle) mode= 19 Mean= 16 Median= 19 Mode = 19

  11. Range- 1- Put all of the scores in order from least to greatest (* which you already do this to find the median) 2- What is the biggest #? What is the smallest #? 3- The range is the difference between the greatest # and least # in a set of data is the range. Find the range here: Find the mean, median, mode, and range of 2,8,3,8,4

  12. Find the mean, median, mode, and range of 2,8,3,8,4 Range- 1- Put all of the scores in order from least to greatest (* which you already do this to find the median) 2- What is the biggest #? What is the smallest #? 3- The range is the difference between the greatest # and least # in a set of data is the range. Example: 2,3,4,8,8 Biggest # = 8 Smallest # = 2 8 – 2 = 6 Range = 6 or 2 to 6

  13. Outlier- A number which is far removed from the other numbers in a data set. The data that is shown above (2,8,3,8,4) does not have an outlier because all of the numbers are relatively close together. What would the outlier be in the following set of data? 14, 12, 22, 7, 40, 5, 13, 14 Find the mean, median, mode, and range of 2,8,3,8,4

  14. Outlier- A number which is far removed from the other numbers in a data set. What would the outlier be in the following set of data? 14, 12, 22, 7, 40, 5, 13, 14 If you said 40, then you are correct! If we arranged these numbers on a number line or a line plot, 40 would be “out” on it’s own. Find the mean, median, mode, and range of 2,8,3,8,4

  15. Practice on your own: Textbook page 196 #8-12 **Students may use calculators on all problems for MMMRO 

  16. Yummy Central Tendency You will be placed in a group. Each group will be stacking cookies to determine how many they can stack before the stack falls. The # that should be used is the last one BEFORE the stack falls. (Example: if you add your tenth cookie to the stack and it falls, then you would write down 9) You will do this “test” 7 times; writing down the results from each stack. After the 7th stack, your group will return to your desk and find the mean, median, mode, and range for your data. At the end of class, one member from each group will record the group’s data on chart paper. While waiting for your group to perform their test, all students should be working on WB pg. 50

  17. Answers to WB 50

  18. Grades from last test • 75, 80, 85, 95, 60, 90, 90, 55, 55, 95, 85, 80, 50, 80, 90, 55, 91, 55, 70, 74, 80 • Least to greatest • 50, 55, 55, 55, 55, 60, 70, 74, 75, 80, 80, 80, 80, 85, 85, 90, 90, 90, 91, 95, 95 • Mean- add all and divide by??? • 21 • Mean – 75.7

  19. 50, 55, 55, 55, 55, 60, 70, 74, 75, 80, 80, 80, 80, 85, 85, 90, 90, 90, 91, 95, 95 • Mode – occurs the most??? • Mode – 55, 80 • Median? • Median – 80 • Range? • Range- 45 • Outlier? • Outlier - none

  20. Stem and Leaf Plot • Do you know what a stem and leaf plot is? • 5 • 6 • 7 • 8 • 9

  21. Groundworks Average Temperature

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