Because waterfowl are an important economic resource, wildlife scientists study how waterfowl abundance is related to various environmental variables. In such a study, the variables shown in Table 1.15 were observed for a sample of 52 ponds.

WATER: the amount of open water in the pond, in acres.

VEG: the amount of aquatic and wetland vegetation present at and around the pond, in acres.

FOWL: the number of waterfowl recorded at the pond during a (random) one day visit to the pond in January.

(a) Make a complete summary of one of these variables. (Compute mean, median, and variance, and construct a bar chart or stem and leaf and box plots.) Comment on the nature of the distribution.

(b) Construct a frequency distribution for FOWL, and use the frequency distribution formulas to compute the mean and variance.

(c) Make a scatterplot relating WATER or VEG to FOWL.

Table 1.15 Waterfowl data. OBS WATER VEG FOWL OBS WATER VEG FOWL 1 1.00 0.00 0 27 0.25 0.00 0 2 0.25 0.00 10 28 1.50 0.00 240 3 1.00 0.00 125 29 2.00 1.50 2 4 15.00 3.00 30 30 31.00 0.00 0 56980 1.00 0.00 0 31 149.00 9.00 1410 33.00 0.00 32 32 1.00 2.75 0 7 0.75 0.00 16 33 0.50 0.00 15 0.75 0.00 0 34 1.50 0.00 16 2.00 0.00 14 35 0.25 0.00 0 10 1.50 0.00 17 36 0.25 0.25 0 11 1.00 0.00 0 37 0.75 0.00 125 12 16.00 1.00 210 38 0.25 0.00 2 13 0.25 0.00 11 39 1.25 0.00 0 14 5.00 1.00 218 40 6.00 0.00 15 10.00 2.00 5 41 2.00 0.00 16 1.25 0.50 26 42 5.00 8.00 17 0.50 0.00 4 43 2.00 0.00 18 16.00 2.00 74 44 0.25 0.00 19 2.00 0.00 0 45 5.00 1.00 201 1.50 0.00 51 46 7.00 2.25 21 0.50 0.00 12 47 9.00 7.00 22 0.75 0.00 18 48 0.00 1.25 23 0.25 0.00 1 49 0.00 4.00 179 80 167 0 364 59 185 0 0 24 17.00 5.25 2 50 7.00 0.00 177 25 3.00 0.75 16 51 4.00 2.00 0 26 1.50 1.75 9 52 1.00 2.00 0