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Learning Target:Students will learn how to calculate data using mean, median, mode and range. Students will learn how to justify which average best represents the data set.
Definitions:Mean (avg.) – Add up items		      Total itemsMedian – Middle # 		  (must put them in order 			          from smallest to largest)Mode – The value you see most oftenRange – Difference between the 			 largest # and the smallest #Outlier – A number that is either a lot smaller or bigger then the rest of the data
Find the mean of the data.20, 25, 25, 20, 25
20 + 25 + 25 + 20 + 2551155Mean = 23
Find the median of the data.(odd # of data values)91, 150, 80, 71, 74, 81, 83
Put them in order from smallest to largest. 91, 150, 80, 71, 74, 81, 83Find the middle value.71, 74, 80, 81, 83, 91, 150Median =  81
Find the median of the data(even # of data values)8, 13, 8, 4, 11, 4, 2, 6
Put them in order from smallest to largest.2, 4, 4, 6, 8, 8, 11, 13Find the middle value.2, 4, 4, 6, 8, 8, 11, 13Average the two numbers (6 + 8) / 214/2Median =  7
Find the mode.14, 10, 9, 7, 14, 16, 147, 1, 2, 6, 1, 726, 22, 10, 12, 16, 28
14, 10, 9, 7, 14, 16, 14mode = 147, 1, 2, 6, 1, 7mode = 1 and 726, 22, 10, 12, 16, 28mode = no mode(write no mode, do not just put a 0)
Find the range.91, 150, 80, 71, 74, 81, 80, 77
91,  150   , 80,  71  , 74, 81, 80, 77150 – 71Range = 79
Videohttp://www.youtube.com/watch?v=uydzT_WiRz4&feature=player_embedded#
Find the mean, median, mode and range. Which average(s) represents the data the best.25, 32, 32, 34, 35, 36, 38, 41, 69
Mean = 342/9 = 38 25, 32, 32, 34, 35, 36, 38, 41, 69 Median = 35 25, 32, 32, 34, 35, 36, 38, 41, 69 Mode = 32Range = 69 – 25 = 44Best Average = Median(mean is too high because of the outlier 69)
Can you calculate data using mean, median, mode and range. Can you justify which average best represents the data set.

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Calculating mean, median, mode, and range to represent data sets

  • 1. Learning Target:Students will learn how to calculate data using mean, median, mode and range. Students will learn how to justify which average best represents the data set.
  • 2. Definitions:Mean (avg.) – Add up items Total itemsMedian – Middle # (must put them in order from smallest to largest)Mode – The value you see most oftenRange – Difference between the largest # and the smallest #Outlier – A number that is either a lot smaller or bigger then the rest of the data
  • 3.
  • 4. Find the mean of the data.20, 25, 25, 20, 25
  • 5. 20 + 25 + 25 + 20 + 2551155Mean = 23
  • 6. Find the median of the data.(odd # of data values)91, 150, 80, 71, 74, 81, 83
  • 7. Put them in order from smallest to largest. 91, 150, 80, 71, 74, 81, 83Find the middle value.71, 74, 80, 81, 83, 91, 150Median = 81
  • 8. Find the median of the data(even # of data values)8, 13, 8, 4, 11, 4, 2, 6
  • 9. Put them in order from smallest to largest.2, 4, 4, 6, 8, 8, 11, 13Find the middle value.2, 4, 4, 6, 8, 8, 11, 13Average the two numbers (6 + 8) / 214/2Median = 7
  • 10. Find the mode.14, 10, 9, 7, 14, 16, 147, 1, 2, 6, 1, 726, 22, 10, 12, 16, 28
  • 11. 14, 10, 9, 7, 14, 16, 14mode = 147, 1, 2, 6, 1, 7mode = 1 and 726, 22, 10, 12, 16, 28mode = no mode(write no mode, do not just put a 0)
  • 12. Find the range.91, 150, 80, 71, 74, 81, 80, 77
  • 13. 91, 150 , 80, 71 , 74, 81, 80, 77150 – 71Range = 79
  • 15. Find the mean, median, mode and range. Which average(s) represents the data the best.25, 32, 32, 34, 35, 36, 38, 41, 69
  • 16. Mean = 342/9 = 38 25, 32, 32, 34, 35, 36, 38, 41, 69 Median = 35 25, 32, 32, 34, 35, 36, 38, 41, 69 Mode = 32Range = 69 – 25 = 44Best Average = Median(mean is too high because of the outlier 69)
  • 17. Can you calculate data using mean, median, mode and range. Can you justify which average best represents the data set.