Identify the lower quartile (q1), the median (q2), and the upper quartile (q3) for this data set.
{1, 2, 4, 5, 7, 7, 8, 9, 9, 10}
q1 = 1, q2 = 7, q3 = 10
q1 = 4, q2 = 7, q3 = 9
q1 = 2, q2 = 8, q3 = 8
q1 = 4.5, q2 = 7.5, q3 = 9.5

{1, 2, 4, 5, 7, 7, 8, 9, 9, 10}

Lower Quartile: Q₁ = ¹/₄(n + 1)
                          Q₁ = ¹/₄(10 + 1)
                          Q₁ = ¹/₄(11)
                          Q₁ = 2³/₄

Median: Q₂ = ¹/₂(n + 1)
              Q₂ = ¹/₂(10 + 1)
              Q₂ = ¹/₂(11)
              Q₂ = 5¹/₂

Upper Quartile: Q₃ = ³/₄(n + 1)
                          Q₃ = ³/₄(10 + 1)
                          Q₃ = ³/₄(11)
                          Q₃ = 8¹/₄

Q₁ = 2³/₄
Q₂ = 5¹/₂
Q₃ = 8¹/₄