The problem requires us to create a histogram based on the given data: 5.2, 7.0, 10.5, 2.6, 2.9, 4.5, 1.0, 1.5, 2.6. The histogram has bins of width 3: [0, 3), [3, 6), [6, 9), and [9, 12). We need to count the number of data points that fall into each bin.

1. Problem Description

The problem requires us to create a histogram based on the given data: 5.2, 7.0, 10.5, 2.6, 2.9, 4.5, 1.0, 1.5, 2.

6. The histogram has bins of width 3: [0, 3), [3, 6), [6, 9), and [9, 12). We need to count the number of data points that fall into each bin.

2. Solution Steps

First, we need to determine which data points fall into which bins. The bins are defined as follows:

* Bin 1: [0, 3) - includes values greater than or equal to 0 and less than

3. * Bin 2: [3, 6) - includes values greater than or equal to 3 and less than

6. * Bin 3: [6, 9) - includes values greater than or equal to 6 and less than

9. * Bin 4: [9, 12) - includes values greater than or equal to 9 and less than

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2.

Now, let's classify each data point:

* 5.2: [3, 6)

* 7.0: [6, 9)

* 10.5: [9, 12)

* 2.6: [0, 3)

* 2.9: [0, 3)

* 4.5: [3, 6)

* 1.0: [0, 3)

* 1.5: [0, 3)

* 2.6: [0, 3)

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

* Bin 1: [0, 3) - 5 values (2.6, 2.9, 1.0, 1.5, 2.6)

* Bin 2: [3, 6) - 2 values (5.2, 4.5)

* Bin 3: [6, 9) - 1 value (7.0)

* Bin 4: [9, 12) - 1 value (10.5)

Therefore, the heights of the bars in the histogram should be 5, 2, 1, and 1, respectively.

3. Final Answer

The number of locations in each bin are 5, 2, 1 and 1, corresponding to bin ranges [0, 3), [3, 6), [6, 9), and [9, 12) respectively.