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5 Number Summary

5 Number Summary. Even Numbered Data Sets. Even Numbered Data Sets. If the data set has an even number of numbers, we find the mean of the two middle numbers to find the median of the set 2, 4, 5, 6, 7, 8, 9, 11, 19, 20 The median is 7.5. Even Numbered Data Sets.

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5 Number Summary

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  1. 5 Number Summary Even Numbered Data Sets

  2. Even Numbered Data Sets • If the data set has an even number of numbers, we find the mean of the two middle numbers to find the median of the set 2, 4, 5, 6, 7, 8, 9, 11, 19, 20 The median is 7.5

  3. Even Numbered Data Sets • The median splits the data set in half. [ 2, 4, 5, 6, 7] 7.5 [8, 9, 11, 19, 20] • From here we can then find the remaining quartiles, and the max and min

  4. Even Numbered Data Sets [ 2, 4, 5, 6, 7] 7.5 [8, 9, 11, 19, 20] • Q1 = 5 • Q3 = 11 • Max = 20 • Min = 2 • IQR = 6

  5. Any Questions?

  6. Sample Problem • Use the following data set to create a 5 number summary • 1,2,3,4,5,6,7,8,9,10,11,12

  7. Sample Problem • What is the median? 1,2,3,4,5,6,7,8,9,10,11,12 The median is the mean of 6 and 7 The median is 6.5

  8. Sample Problem • Remember, the median splits the data set in half [1,2,3,4,5,6] 6.5 [7,8,9,10,11,12]

  9. Sample Problem • What are the quartiles? [1,2,3,4,5,6] 6.5 [7,8,9,10,11,12] • Remember, if there are an even number of numbers in your set, the median is the mean of the middle two numbers

  10. Sample Problem • What are the quartiles? [1,2,3,4,5,6] 6.5 [7,8,9,10,11,12] • Q1 = 3.5 • Q3 = 8.5

  11. Sample Problem • What is the max? • What is the min? [1,2,3,4,5,6] 6.5 [7,8,9,10,11,12] • Max = 12 • Min = 1

  12. Sample Problem • What is the 5 number summary? • Median = 6.5 • Q1 = 3.5 • Q3 = 8.5 • Max = 12 • Min = 1

  13. Any Questions?

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