To find the mean height of the six trees, follow these steps:
1. Identify the heights of all the trees. The heights given are: 5 meters, 8 meters, 12 meters, 6 meters, 11 meters, and 5 meters.
2. Calculate the total height by adding all the individual heights together:
[tex]\[
5 + 8 + 12 + 6 + 11 + 5 = 47 \text{ meters}
\][/tex]
3. Determine the number of trees, which is 6.
4. Calculate the mean height by dividing the total height by the number of trees:
[tex]\[
\text{Mean height} = \frac{\text{Total height}}{\text{Number of trees}} = \frac{47 \text{ meters}}{6} \approx 7.833 \text{ meters}
\][/tex]
Therefore, the mean height of the six trees is approximately 7.833 meters.