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How do you determine which team played more consistently over the last six years?. In this lesson you will learn how to informally compare two populations by using the range and interquartile range. Range. Range : The difference between the greatest number and lowest number.
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How do you determine which team played more consistently over the last six years?
In this lesson you will learn how to informally compare two populations by using the range and interquartile range.
Range Range : The difference between the greatest number and lowest number l l l l l l l l l l l Range= 114 – 66=48 l l l l l l l l l l l 60 64 68 72 76 80 84 90 94 98 102 106 110 114 118 122 126 130 134 138 142
Interquartile Range (IQR): The range of the middle of the data. The difference between the upper quartile and lower quartile. IQR l l l l l l l l l l l l l l l l l l l l l l IQR = 94 – 76 = 18 60 64 68 72 76 80 84 90 94 98 102 106 110 114 118 122 126 130 134 138 142
Finding the lower (Q1) and upper (Q3) quartiles 16 18 19 19 20 20 23 28 30
Measures of Variability Range, Interquartile Range, Median Absolute Deviation Range – influenced by outliers IQR – not influenced by outliers
Range = 51-31=20 IQR = 47-31=16 Flamingos l l l l l l l l l l l l l l l l l l l l l l 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 Range = 42-36=6 IQR = 42-39=3 Cougars l l l l l l l l l l l l l l l l l l l l l l 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 Number of Team Wins (6 seasons)
Range = 138-60=78 IQR = 113-68=45 NFC l l l l l l l l l l l l l l l l l l l l l l 60 64 68 72 76 80 84 90 94 98 102 106 110 114 118 122 126 130 134 138 142 Range = 114-66=48 IQR = 94-76=18 AFC l l l l l l l l l l l l l l l l l l l l l l 60 64 68 72 76 80 84 90 94 98 102 106 110 114 118 122 126 130 134 138 142 Number of Team Penalties (NFL)
In this lesson you have learned how to informally compare two populations by using the range and interquartile range.
Compare the range and IQR of the medal count at the Summer Olympics for 1992 – 2008. USA l l l l l l l l l lll 60 65 70 75 80 85 90 95 100 105 110 115 Russia l l l l l l l l l lll 60 65 70 75 80 85 90 95 100 105 110 115
Go to www.databaseOlympics.com, choose a range of years, and pick 2 countries. Find the medal count for the Winter Olympics for each of those countries. Use the range and IQR to compare the medal count for each country.
Measure the arm span and height of 7 classmates. Compare the two by using the range and IQR of each measurement.
Compare the range and IQR to determine which week the fitness club exercised the least. Week 1 l l l l l l l l l llll 30 35 40 45 50 55 60 65 70 75 80 85 90 Week 2 l l l l l l l l l llll 30 35 40 45 50 55 60 65 70 75 80 85 90
Use the range and IQR to determine who trained more for the marathon last week. Lucy l l l l l l l l l lll 1 2 3 4 5 6 7 8 9 10 11 12 Debra l l l l l l l l l lll 1 2 3 4 5 6 7 8 9 10 11 12