Students estimate the population of dandelion plants on a rectangular school playing field. The field measures 25 m25\text{ m}25 m by 12 m12\text{ m}12 m. The students randomly place a 1 m×1 m1\text{ m} \times 1\text{ m}1 m×1 m quadrat at five different locations. Their results are shown in the table below: | Sample Number | Number of Dandelions | | :---: | :---: | | 1 | 4 | | 2 | 7 | | 3 | 2 | | 4 | 5 | | 5 | 2 |
Calculate the area of the playing field.
Calculate the mean number of dandelions per quadrat.
Estimate the total population of dandelions on the school playing field.
State one way the students could improve the accuracy of their estimate.