Answer:
To find the diameter that represents the 82nd percentile, we need to arrange the data in ascending order: 1.30, 1.45, 1.46, 1.49, 1.49, 1.51, 1.56, 1.56, 1.62, 1.64, 1.70, 1.70.
Next, we count 82% of the data points. Since we have 12 data points, 82% of 12 is approximately 9.84.
The 9th and 10th data points are both 1.62, so the diameter that represents the 82nd percentile is 1.62.
Step-by-step explanation: