The time between seeing a lightning flash and hearing the resulting thunder gives an accurate estimate of the distance to its location. During one storm a meteorologist observes 29 such flashes, and calculates the distances in miles as follows:

6.02, 3.01, 0.69, 3.38, 2.01, 4.69, 3.54, 3.67, 3.67, 4.55, 5.79, 3.72, 1.05, 3.73, 3.98, 7.28, 2.10, 2.90, 6.95, 6.18, 7.20, 4.89, 6.60, 2.53, 2.09, 1.30, 1.81, 4.75, 6.91

Assume that the cloud is circular, is not moving, and that the lightning strikes are uniformly distributed through the cloud. Determine the diameter of the cloud.