Question

The following data represent tonnes of wheat harvested each year (1894–1925) from Plot 19 at the Rothamsted Agricultural Experiment Stations, England. 2.71 1.62 2.60 1.64 2.20 2.02 1.67 1.99 2.34 1.26 1.31 1.80 2.82 2.15 2.07 1.62 1.47 2.19 0.59 1.48 0.77 2.04 1.32 0.89 1.35 0.95 0.94 1.39 1.19 1.18 0.46 0.70 (a) Divide class limits, class boundaries, and class midpoints by 100 to get back to your original data values.

Answer 1

The question relates to adjusting class limits, class boundaries, and class midpoints to their original scale in analyzing agricultural data, by dividing them by 100 to revert to the original values of wheat harvested in tonnes.

Step-by-step explanation:

The data provided represent tonnes of wheat harvested each year from 1894 to 1925 at the Rothamsted Agricultural Experiment Stations in England. To analyze the data, it can be helpful to arrange it into classes with set limits, boundaries, and midpoints. However, because the data has been given in hundreds of tonnes, we need to ensure that we're working with the original values, which requires us to divide the class limits, class boundaries, and class midpoints by 100.

Class limits refer to the smallest and largest data values that can fall within a class. Class boundaries are the actual limits used to separate classes without gaps. Class midpoints represent the central value of each class and can be calculated as the average of the lower and upper-class boundaries.

Upon dividing these three elements by 100, we return to the original scale of the data, ensuring accurate analysis and interpretation. This process is critical when working with data that has been scaled up or down, as it allows us to maintain consistency and integrity in the statistical evaluation.