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How many seeds does a pomegranate have?

AND

Does a larger pomegranate yield proportionally more seed volume?

 

Pomegranates are curious fruits - apple-sized, red in color, and containing hundreds of pitch-red juicy seeds. Bitter-sweet in taste, depending on ripeness, puts these delightful transparent fragilities in-between grapefruits and red grapes.

 

Figure 1.1
Click image to enlarge, or click here to open
What has nature blessed us with - the pomegranate is a very unstructured structured fruit. It contains multiple compartments, each tightly packing seeds around a sponge-like center, in some more or less random formation.

 

Figure 1.2
Click image to enlarge, or click here to open
Sources are in disagreement about how many seeds a pomegranate holds. Some sources fix the number to exactly 613, some allow for an error of 200, yet others believe that all pomegranates have the exact same number of seeds. It is certainly possible to disprove the first and third of these.

 

Figure 1.3
Click image to enlarge, or click here to open
Then how many seeds are in a typical pomegranate? Here we keep track of a very small number of pomegranates, carefully disected and accounted for. This is an on-going experiments, and depending on mood and taste buds, the table will be filled with additional pomegranates.

 

Figure 1.4
Click image to enlarge, or click here to open

Next to the number of seeds in a pomegranate, another phenomena is its highly varying size. Does size matter? We assume that a larger pomegranate yields proportionally more seed volume, but this is not quite true.

Recently, we have begun annotating our new additions to the dataset with data for volume. For each new pomegranate, we measure its total volume, and, after careful counting of seeds, we measure the total seed volume. The plotted and curve-fit data shows that with increasing total volume (which is highly correlated to weight), the volume of extracted seeds grows logarithmically. That is, seed volume grows only marginally with size and weight. While the dataset is still small, the computed logarithmic curve fits to the dataset with a relatively small error (R-squared tends towards 1).

These results are not surprising. When comparing the amount of pulp in a large pomegranate to that of a small one, you will notice that the shell of a large pomegranate is significantly thicker.

1. Statistical Summary

 

Country Sample Size min #seeds max #seeds avg #seeds min weight (g) max weight (g) avg weight (g)
US 150 286 1370 680 145 1065 421
Singapore 2 339 579 459 250 400 325
Iran 37 165 1263 338 200 660 354
Spain 2 580 837 709 280 330 305
Turkey 12 267 971 576 226 1001 603
Brazil 3 647 1054 809 568 658 599
 
All 206 165 1370 613 145 1065 420
Table 1.1: Pomegranate Statistics (download the data file for a complete listing of each pomegranate)

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