---
title: "Off the Number Line: Poisson Ivy"
description: "This \"poisson\" ivy grows in an interesting distribution."
image: https://2024.mindresearch.org/hubfs/Education/Archive/Off_the_Number_Line.jpg
---

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# Off the Number Line: Poisson Ivy

By [Matthew Peterson and James Huang](https://2024.mindresearch.org/blog/author/matthew-peterson-and-james-huang)

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![poisson ivy math cartoon](https://s-media-cache-ak0.pinimg.com/736x/d6/97/ac/d697acea22eb58ddc2c7b13f7abe65cd.jpg "poisson ivy math cartoon")

**Interviewer:**

Looks like you have a misspelling. Shouldn’t it be poison ivy?

**Cartoonist:**

That’s Poisson with English pronunciation pwass-ahn, as in “Poisson distribution”.

**Interviewer:**

What’s a Poisson distribution?

**Cartoonist:**

It’s an asymmetric bell-like curve used to model how many times one should expect an event to occur in a fixed time period assuming that the occurrences of these events are infrequent and independent from one another. The shape of the ivy on that wall is the shape of a Poisson distribution curve.

**Interviewer:**

Ah, now the cartoon makes sense. Can you give an example of when you would use a Poisson distribution?

**Cartoonist:**

Sure. I walk my son to school each morning and we occasionally see hummingbirds. We don’t see them every day, but on average, we see about 4 hummingbirds a week. Seeing a humming bird is an “event.” Since humming birds don’t fly in flocks, each sighting can be treated as an independent event. If you wanted to know the probability of seeing a given number of humming birds in a week, say 3 or 5, you can use a Poisson distribution with a mean of 4 to model that.

**Interviewer:**

Perfect. I get it now. So to connect this to the cartoon, you could also model the number of visitors to a park who contract a poison ivy rash each month.

**Cartoonist:**

Yes! That would be a good use case!

**Interviewer:**

I really do learn a lot from these [Off the Number Line cartoons](http://blog.mindresearch.org/blog/topic/off-the-number-line). Looking forward to what you have in store for next week!

 

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### About the Author

Matthew Peterson, Ph.D., is Co-founder and Chief Research & Development Officer at the MIND Research Institute. James Huang is Senior Visual Designer at MIND Research Institute.

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