We are given a set of data points representing the number of tunnels Gary the Groundhog dug each year: 18, 5, 13, 9, 6, 2, 10. We need to create a histogram using this data. The problem specifies that each bin excludes the left endpoint and includes the right endpoint. We need to determine the frequency of the data within each bin.

1. Problem Description

We are given a set of data points representing the number of tunnels Gary the Groundhog dug each year: 18, 5, 13, 9, 6, 2,

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0. We need to create a histogram using this data. The problem specifies that each bin excludes the left endpoint and includes the right endpoint. We need to determine the frequency of the data within each bin.

2. Solution Steps

First, we need to determine the bin sizes. Without this information, we can assume bins of size 4 or

5. Given that each bin *excludes* the left endpoint and *includes* the right endpoint, let's assume the bins are [0, 4], (4, 8], (8, 12], (12, 16], (16, 20].

Now, let's count how many data points fall into each bin.

* [0, 4]: 2 falls into this bin. Count = 1

* (4, 8]: 5 and 6 fall into this bin. Count = 2

* (8, 12]: 9 and 10 fall into this bin. Count = 2

* (12, 16]: 13 falls into this bin. Count = 1

* (16, 20]: 18 falls into this bin. Count = 1

3. Final Answer

Bin [0,4]: 1

Bin (4,8]: 2

Bin (8,12]: 2

Bin (12,16]: 1

Bin (16,20]: 1