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Five Figure Summary

Five Figure Summary. From List. What is to be learned. What the five figures are! How to calculate them!. Previously. Median?. Must be in order!. A proper median. Right in the middle. Not so easy. Find halfway between middle two. dodgy median. Two “in the middle”.

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Five Figure Summary

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  1. Five Figure Summary From List

  2. What is to be learned • What the five figures are! • How to calculate them!

  3. Previously Median?

  4. Must be in order! A proper median Right in the middle

  5. Not so easy Find halfway between middle two dodgy median Two “in the middle”

  6. If Odd Amount of Numbers → There is true median If Even →Dodgy Median (Halfway between two middle numbers) Amount of NumbersMedian Position 5 3rd number 7 4th number 9 5th number 116thnumber 19? 10th number

  7. Rule Median Position = (Amount of Numbers + 1)÷2 If 9 numbers Median Position = (9+1) ÷ 2 = 5 i.e fifth number

  8. If Even Data Group Mid Point Rule Must find mid point between two middle numbers Find mean of two numbers Add and divide by two 21 and 29 → 50 ÷ 2 = 25

  9. Common Sense If midway between 21 and 29 21……………………………………29 8 units ↓ 25 (4 units from each)

  10. Calculate Medians 1. 2 4 7 10 12 18 21 2. 3 6 8 9 11 18 27 31 3. 5 8 12 26 34 38 40 40 4. 34 43 45 28 31 5. 34 39 43 52 58 60 10 30 28 31 34 43 45 47.5

  11. Quartiles Median splits data into two “halves” Lower quartile (Q1) is median of lower half Upper quartile (Q3) is median of upper half Q2 is median

  12. Quartiles in Action Always start by finding median 2 4 10 16 18 21 Ignore median so we can have two equal halves Lower Half Upper Half 2 4 10 16 18 21 Q1 Q3 12 Q2

  13. Slightly different Q2 = 23 10 13 17 21 25 34 38 42 Will split nicely into two halves Lower Half Upper Half 10 13 17 21 25 34 38 42 Q1 = 15 Q3 = 36

  14. 5 Figure Summary? Final two figures are L and H L is the lowest H is the…………………………………………….

  15. 5 Figure Summary? Consists of • Median • Lower and Upper Quartiles • Highest and lowest numbers Mid Point Rule Q2 Q1 and Q3 H and L →Add then ÷ 2 e.g. Mid Point between 22 and 46 →68 ÷ 2 = 34

  16. Finding The Quartiles Median splits the data group into two “halves” The quartiles (Q1 and Q3 are the medians of the lower and upper half) If there is a “true median” ignore it or you will not have equal halves!

  17. Q2 Ex1. 2 5 8 17 19 22 28 Median Lower HalfUpper Half 2 5 8 19 22 28 L = 2 Q1 = 5 Q2= 17 Q3 = 22 H = 28 Q1 Q3

  18. Q2 = 18 Ex2. 2 5 8 17 19 22 28 30 Median Lower HalfUpper Half 2 5 8 17 19 22 28 30 L = 2 Q1 = 6.5 Q2= 18 Q3 = 25 H = 30 Q3 = 25 Q1 = 6.5

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