Question: To study the spatial distribution of Japanese beetle larvae in the soil, researchers divided a 12- 12-foot section of a cornfield into 144 one-foot

To study the spatial distribution of Japanese beetle larvae in the soil, researchers divided a 12- Ã— 12-foot section of a cornfield into 144 one-foot squares. They counted the number of larvae Y in each square, with the results shown in the following table.

(a) The mean and SD of Y are = 2.23 and s = 1.47.
What percentage of the observations are within
(i) 1 SD of the mean?
(ii) 2 SDs of the mean?
(b) Determine the total number of larvae in all 144 squares. How is this number related to ?
(c) Determine the median value of the distribution.

Frequency (Number of squares) Number of larvac 18 Total 144

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