Zainab is investigating whether daisies are more densely distributed on a school playing field (which is regularly mown) than on a nearby verge (which is left unmown). She places a 0.5 m x 0.5 m (0.25 m2) quadrat at ten random points in each area, using random number coordinates to choose the positions, and counts the number of daisy plants inside each quadrat.
Playing field, daisies per quadrat (10 quadrats): 3, 5, 4, 6, 2, 5, 4, 3, 5, 3
Verge, daisies per quadrat (10 quadrats): 0, 1, 0, 2, 1, 0, 1, 0, 1, 0
(a)Name the piece of equipment Zainab used to sample a fixed area in each location.(1)
(b)Explain why Zainab chose the position of each quadrat using random number coordinates, rather than choosing positions herself.(1)
(c)Calculate the mean number of daisies per quadrat on the playing field.(1)
(d)Using the mean numbers of daisies per quadrat, state and explain which area has the higher density of daisies.(1)
(Total for Question 9 is 4 marks)