Let's say I have a group of 100 tiny beads, and I want to know the variance in their weight. However, my scale can't weigh one bead at a time, so I weight them in non-overlapping pools of 10 beads each. Then I can calculate the variance among pools, but what I really want to know is the variance among individual beads.

It seems like there should be a simple way to estimate this, but I'm not thinking of it. I'd be willing to assume a normal distribution of individual bead weights and an absence of measurement error at the pool level.

Thanks for any help you can offer!

It seems like there should be a simple way to estimate this, but I'm not thinking of it. I'd be willing to assume a normal distribution of individual bead weights and an absence of measurement error at the pool level.

Thanks for any help you can offer!

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