The problem requires us to create a histogram based on the given data, which represents the number of times each of the eight cows on Frannie's Farm mooed yesterday. The data points are 28, 33, 37, 14, 55, 61, 77, and 15. The histogram has bins with widths of 20, namely (0, 20], (20, 40], (40, 60], (60, 80]. The convention is that each bin excludes the left endpoint and includes the right endpoint. We need to determine the number of cows that fall into each bin.

1. Problem Description

The problem requires us to create a histogram based on the given data, which represents the number of times each of the eight cows on Frannie's Farm mooed yesterday. The data points are 28, 33, 37, 14, 55, 61, 77, and

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5. The histogram has bins with widths of 20, namely (0, 20], (20, 40], (40, 60], (60, 80]. The convention is that each bin excludes the left endpoint and includes the right endpoint. We need to determine the number of cows that fall into each bin.

2. Solution Steps

First, list the data points: 28, 33, 37, 14, 55, 61, 77,

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5. Then, we determine how many data points fall in each bin.

Bin (0, 20]:

The data points that fall in this bin are 14 and

1

5. There are 2 data points.

Bin (20, 40]:

The data points that fall in this bin are 28, 33, and

3

7. There are 3 data points.

Bin (40, 60]:

The data point that falls in this bin is

5

5. There is 1 data point.

Bin (60, 80]:

The data points that fall in this bin are 61 and

7

7. There are 2 data points.

Therefore, the counts for the bins are:

(0, 20]: 2

(20, 40]: 3

(40, 60]: 1

(60, 80]: 2

3. Final Answer

(0, 20]: 2

(20, 40]: 3

(40, 60]: 1

(60, 80]: 2