Note: This procedure is complicated by the fact that α may not be an even multiple of 1/n.
However, if we remove two more observations (with x = 45 and x = 101), we have set the fraction 4 * (1/n) = 0.307692 to zero, so it is no longer true that 4 * (1/n) < α. k stays at 11. The column of weights is now
2w + (11 - 2) * (1 / 13) = 1 - 0.2
2w = 0.692308 = 0.8 w = 0.053846
Here are the normalized weights: