For an n-tile of a data set with 𝑁 elements, the i-th n-tile is defined as:

𝑞𝑖=𝐿+𝑖𝑛×𝑁prevfreq×𝑊

Where:

  • 𝐿: left bound of range [𝐿,𝑅) containing 𝑖𝑛×𝑁
  • prev: sum of previous ranges (excluding current)
  • 𝑊=𝑅𝐿

mode of grouped data

References