Question

She repeats this random sampling procedure on all 100 slides, obtaining a total of 100 measurements of cell cluster sizes. She then takes the average of these 100 measurements as her estimate of the average cluster size.

(ii) 4.33

The researcher’s estimated average cluster size is likely to be (choose one):

a) smaller than the value computed in part (ii).

b) larger than the value computed in part (ii).

c) approximately the same as the value computed in part (ii).

Briefly justify your choice.

iv. Give two suggestions as to how you might go about estimating the average cluster size of these bacterial cells more accurately.

Answer 1

c) Approximately the same as the value computed in part 2

iv) As we know that each cell cluster may have different number of cells. So we cannot take the average of all the cells as the average cluster size of the bacterial cells

One method can be to group the clusters with same number of cells and find the cell cluster size of these groups seperately

(Example. Collect the clusters having 6 cells(say) and find the average cell cluster size of this group separately. Similarly for all)

Another method can be to find the cell cluster size of each cluster and divide them by the number of cells in that cluster. Ans then find the average of all these values