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Quartiles from lots of data. What is to be learned?. How to find quartiles from large data groups. All about buses. Fit the data equally into four buses. ↑ ↑ ↑ Q 1 Q 2 Q 3 Must all have same amount of passengers. Any leftovers walk between buses. Must be symmetrical!.
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What is to be learned? • How to find quartiles from large data groups
Fit the data equally into four buses ↑ ↑ ↑ Q1 Q2 Q3 Must all have same amount of passengers
Any leftovers walk between buses Must be symmetrical! One leftover
If 30 numbers 30 ÷ 4 = 7 remainder 2 7 7 7 7 1 1 Q1 Q2 Q3 (23rd no) (8th no.) between 15th and 16th no
If 41 numbers 41 ÷ 4 = 10 remainder 1 10 10 10 10 1 Q1 Q2 Q3 (21st no.) between 10th and 11th no. between 31st and 32nd no
Quartiles in Large Data Groups • Put all numbers equally into 4 buses • Any leftovers walk between buses (symmetrically)
If 46 numbers 46 ÷ 4 = 11 remainder 2 11 11 11 11 1 1 Q1 Q2 Q3 (35th no) (12th no.) between 23rd and 24th no
Q1 6th Q2 12th Q3 18th Find positions of quartiles in the following lists 1. 23 numbers 2. 33 numbers 3. 36 numbers 4. 50 numbers 5. 117 numbers Q1 between 8th and 9thQ2 17th Q3 between 25th and 26th Q1 btwn 9th and 10th Q2 btwn 18th and 19th Q3 btwn 27thand 28th Q1 13th Q2between 25thand 26th Q3 38th Q1 between 29th and 30th Q2 59th Q3 between 88th and 89th