Math Problem Statement

From a data set like this what is the Median (Q2), first quartile (Q1) and third Quartile(Q3):

  1. 1
  2. 9
  3. 10
  4. 12
  5. 13
  6. 14
  7. 20
  8. 21
  9. 26
  10. 27
  11. 28
  12. 30
  13. 32
  14. 35
  15. 36
  16. 36
  17. 37
  18. 40
  19. 40
  20. 42
  21. 42
  22. 45
  23. 47
  24. 48
  25. 50
  26. 51
  27. 52
  28. 52
  29. 53
  30. 57

Solution

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Math Problem Analysis

Mathematical Concepts

Statistics
Quartiles
Data Distribution

Formulas

Q1 = (n+1) * 1/4
Q2 = Median
Q3 = (n+1) * 3/4

Theorems

Quartile Calculation Theorem

Suitable Grade Level

Grades 9-12