2011+π+Day

=2011 π Day=

The problem: I'm planning a Recognition Luncheon to honor those who volunteer in our elementary schools. The dessert for the luncheon will be several different kinds of pie that are being donated by students and teachers. I need to buy whipped cream, but I'm not sure how much to buy.

Facts:
 * 1) There will be 190 people at the lunch. Since we'll have many varieties of pie, I'm going to assume that almost everybody will eat a slice. (Even if some don't, others will eat 2, so it should average about 1 slice per person). We have 8 different kinds of pie, and 3 pies of each type. Each pie will be cut into 8 slices.
 * 2) According to [|Chiff.com], "Nearly twice as many people prefer their pie unadorned as those who like it with whipped cream."
 * 3) How much does a can of whipped cream cover? See Below:
 * We found that a can of whipped cream will cover about 770 square centimeters.**

4. Pie Measurements:
 * Group || Area of Pumpkin || Area of Peach || Area of Ch. Pud. || Area of Apple #1 || Area of Apple #2 || Area of Ban. Cream || Area of Oreo || Area of Lem. Mer. ||
 * CS || 415.3 cm sq. || 379.9 cm sq. || 530.6 cm sq. || 530.6 cm sq. || 314 cm sq. || 415.3 cm sq. || 415.3 cm sq. || 346.2 cm sq. ||
 * TM || 397.607 cm sq. || 415.475 cm sq. || 471.435 cm sq. || 490.873 cm sq. || 346.360 cm sq. || 380.132 cm sq. || 415.475 cm sq. || 380.132 cm sq. ||
 * SJ || 415.265 cm sq. || 452.16 cm sq. || 530.66 cm sq. || 510.44625 cm sq. || 397.40625 cm sq. || 415.265 cm sq. || 397.40625 cm sq. || 397.40625 cm sq. ||
 * NKE || 346.19 cm sq. || 314 cm sq. || 530.21 cm sq. || 490.63 cm sq. || 314 cm sq. || 379.94 cm sq. || 346.19 cm sq. || 379.94 cm sq. ||
 * SL || 346.3605901 cm sq. || 433.7361357 cm sq. || 530.9291585 cm sq. || 490.8738521 cm sq. || 330.0635782 cm sq. || 380.1327111 cm sq. || 415.4756284 cm sq. || 363.050301 cm sq. ||
 * DJW || 411.8265 cm. sq. || 379.94 cm. sq. || 379.94 cm. sq. || 490.625 cm. sq. || 346.185 cm.sq. || 379.94 cm. sq. || 379.94cm. sq. || 346.185 cm. sq. ||
 * MDR || 415.475 cm sq. || 452.389 cm sq. || 530.929 cm sq. || 510.705 cm sq. || 330.063 cm sq. || 415.475 cm sq. || 415.475 cm sq. || 363.050 cm sq. ||
 * DC || 380 cm sq. || 452 cm sq. || 531 cm sq. || 531 cm sq. || 380 cm sq. || 452 cm sq. || 380 cm sq. || 380 cm sq. ||

We decidecd to use the median area found instead of the average for each pie above to eliminate any high or low outliers in the data. We did not use the mode because more than one group could have made identical mistakes. The medians are listed below.

5. Pie information:
 * Type of Pie || Surface Area ||
 * Pumpkin || 404.7 ||
 * Peach || 424.6 ||
 * Chocolate Pudding || 530.6 ||
 * Apple #1 || 500.6 ||
 * Apple #2 || 338.1 ||
 * Banana Cream || 397.7 ||
 * Oreo || 406.4 ||
 * Lemon Meringue || 371.5 ||