# Getting to Higgs

## Making a Histogram - An Example

The teacher grades the tests and creates bins of width 10 points: . . . , 30-39, 40-49, 50-59, 60-69, 70-79, . . . . The number of test scores in each data bin is recorded and plotted as a bar graph.
 Data Student Grade Bullwinkle 84 Rocky 91 Bugs 75 Daffy 68 Wylie 98 Mickey 78 Minnie 77 Lucy 86 Linus 94 Asterix 64 Obelix 59 Donald 54 Sam 89 Taz 76
Miss Chang's Physics class has just taken a test. In order to come up with meaningful grades, Miss Chang will make a histogram to represent the distribution of grades and find a reasonable central value.

The critical question is that of bin size. Clearly, a bin size of 100 makes no sense as it puts all the data in one bin, giving us no information. At the same time, a bin size of 1 or less makes no sense, as the bins would be so small as to look pretty much like a simple list of results. We already have that!

Let's try a few bin sizes:

• bin width of 20
• bin width of 3
• bin width of 10
This makes it sound like 10 is the best width. Actually, we don't know that. First of all, 8 or 12 might be better. Secondly, narrower or wider bins might give us the look at the data that we need in a particular case.

To more easily see how the size of the bin affects the shape of the curve, try the dynamic histogram.

 References Assignments: Identifying B - Identifying W