The problem asks us to create a histogram from the given data points: 12, 28, 33, 37, 23, 14, and 9. The histogram has bins [0, 10], [10, 20], [20, 30], [30, 40]. The bins include the right endpoint and exclude the left endpoint.

1. Problem Description

The problem asks us to create a histogram from the given data points: 12, 28, 33, 37, 23, 14, and

9. The histogram has bins [0, 10], [10, 20], [20, 30], [30, 40]. The bins include the right endpoint and exclude the left endpoint.

2. Solution Steps

First, we need to count the number of data points that fall into each bin. Remember that the interval notation [a, b] means $a < x \le b$.

* Bin [0, 10]: The data points in this bin are

9. The count is

1. * Bin [10, 20]: The data points in this bin are 12,

1

4. The count is

2. * Bin [20, 30]: The data points in this bin are 23,

2

8. The count is

2. * Bin [30, 40]: The data points in this bin are 33,

3

7. The count is

2.

Therefore, the histogram will have bars with the following heights:

* [0, 10]: 1

* [10, 20]: 2

* [20, 30]: 2

* [30, 40]: 2

3. Final Answer

Bins and their corresponding counts:

[0, 10]: 1

[10, 20]: 2

[20, 30]: 2

[30, 40]: 2