The amount of water removed can be calculated using the wet basis moisture content formula. Wet basis moisture content is given by:
\[
\text{Wet basis moisture content} = \frac{\text{Weight of water}}{\text{Total weight}} \times 100
\]
For initial moisture content of 18%:
\[
\frac{\text{Weight of water initially}}{100} = \frac{18}{100} \times 100 = 18~\text{kg of water in 100 kg of paddy}
\]
For final moisture content of 13%:
\[
\frac{\text{Weight of water final}}{100} = \frac{13}{100} \times 100 = 13~\text{kg of water in 100 kg of paddy}
\]
So, the water removed is:
\[
\text{Water removed} = 18 - 13 = 5~\text{kg}
\]
Thus, the amount of water removed is:
\[
\boxed{5.5~\text{kg}}
\]