Upper and Lower Quartiles

# Upper and Lower Quartiles

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## Upper and Lower Quartiles

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1. Upper and Lower Quartiles

2. Upper and Lower Quartile An upper quartile is the middle of the numbers that are higher than the median. A lower quartile is the middle of the numbers that are lower than the median. 4, 7, 10, 11, 15, 22, 31 Lower Quartile Median Upper Quartile

3. 5, 12, 7, 8, 13, 9, 12, 25, 3, 12, 11, 9, 17, 6, 15 Max= UQ= Med= LQ= Min= 18, 11, 15, 12, 16, 13, 18, 19, 20, 11, 14, 16 Max= UQ= Med= LQ= Min=

4. Box and Whisker Graphs

5. A box and whisker graph shows; Maximum Upper Quartile Median Lower Quartile Minimum

6. 13, 8, 7, 9, 3, 7, 1, 9, 4, 7, 11, 3, 8, 12, 7, 13, 5, 11, 5 1, 3, 3, 4, 5, 5, 7, 7, 7, 7, 8, 8, 9, 9, 11, 11, 12, 13, 13 Max = UQ = Med = LQ = Min = Student A Quiz Marks 13 11 7 5 1

7. Quiz Marks Student A

8. 10, 6, 7, 4, 4, 4, 5, 9, 8, 3, 3, 6, 7, 14, 10, 5, 4, 4 3, 3, 4, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 8, 9, 10, 10, 14 Max = UQ = Med = LQ = Min = Student B Quiz Marks 14 8 5.5 4 3

9. Student B Student A

10. Who is better at quizzes and why? Using box and whisker graphs we can argue who is better here are two possible answers, Student A is better because their median, upper quartile and lower quartile were higher than student B. This means most of their quiz marks were better. or Student B is better than student A because they have the highest quiz mark and their worst quiz mark is not as low as student A’s worst quiz mark.