37 Sound waves from a basketball. An experiment was conducted to characterize sound waves in a spherical cavity

( American Journal of Physics , June 2010). A fully inflated basketball, hanging from rubber bands, was struck with a metal rod, producing a series of metallic-sounding pings.

Of particular interest were the frequencies of sound waves resulting from the first 24 resonances (echoes). A mathematical formula, well known in physics, was used to compute the theoretical frequencies. The data are saved in the BBALL file. These frequencies (measured in hertz) are listed in the table. Use a graphical method to describe the distribution of sound frequencies for the first 24 resonances.

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Resonance Frequency 1 979 2345678 1572 2113 2122 2659 2795 3181 3431 9 3638 10 3694 11 4038 12 4203 13 4334 14 4631 15 4711 16 4993 17 5130 18 5210 19 5214 20 5633 21 5779 22 5836 23 6259 24 6339 Based on Russell, D.A. "Basketballs as spherical acoustic cavities." American Journal of Physics, Vol. 78, No. 6, June 2010 (Table 1).