To calculate the final average height of the five plants, you can use the formula for the average:
\[ \text{Average} = \frac{\text{Sum of all heights}}{\text{Number of plants}} \]
First, sum the heights of the plants:
\[ 15 + 18 + 21 + 19 + 20 = 93 \]
Next, divide the sum by the number of plants (which is 5):
\[ \text{Average} = \frac{93}{5} = 18.6 \]
Thus, the final average height for this group of plants is
\[ \boxed{18.6} \text{ cm} \]