Empirical Rule Demonstration (6)

Having calculated the intervals for each part of the empirical rule, we can now generate some more data to test our predictions. This time, the beadboard was set to use 40 subgroups of size 5, making a total of 200 beads. The table below summarises the results.

Column 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22
Total Beads       1 4 20 36 52 33 34 17 3      

You can now enter this data into the rules table and see whether it matches our predictions. Once again, the first row has been completed for you. Calculate the total number of beads which fall into each of the other two intervals, together with their respective percentages, and enter these values into the table. When you are ready, click the button to check your answers.

Rule Min. Column Max. Column Beads Percent
60%-75% within ±1 standard deviation of the mean 14 17 155 77.5
90%-98% within ±2 standard deviations of the mean 13 18
99%-100% within ±3 standard deviations of the mean 11 19