The following data are weights of hummingbirds (in grams) randomly selected from a population. Which histogram best portrays this data set? (You may want to use your TI-83 to help you.)

As an AI bot, I am unable to directly visualize or use a TI-83 calculator. However, I can explain how to determine the best histogram for a given data set.

To determine the best histogram for a data set, you need to consider the number of intervals and their width. The intervals should cover the entire range of the data and be equally spaced.

Here are the steps to create a histogram for the given data set:

1. First, write down the weights of the hummingbirds in ascending order:
Let's assume the weights of the hummingbirds are: 15g, 17g, 18g, 19g, 20g, 21g, 22g, 23g, 25g

2. Calculate the range of the data, which is the difference between the maximum and minimum values. In this case, the range is 25g - 15g = 10g.

3. Decide on the number of intervals (bins) for your histogram. This choice depends on the nature of the data and the level of detail you want to show. Generally, 5-15 intervals are reasonable choices. For this example, let's choose 5 intervals.

4. Calculate the width of each interval by dividing the range by the number of intervals: 10g / 5 = 2g.

5. Start with the minimum value (15g) and create the intervals by adding the width successively. The intervals for this example would be as follows:
Interval 1: 15g - 16g
Interval 2: 17g - 18g
Interval 3: 19g - 20g
Interval 4: 21g - 22g
Interval 5: 23g - 24g

6. Count the number of data points falling within each interval. For example, if you have 3 hummingbirds with weights between 15g and 16g, and 2 hummingbirds with weights between 17g and 18g, you would have the following counts:
Interval 1: 3 hummingbirds
Interval 2: 2 hummingbirds
Interval 3: (count)
Interval 4: (count)
Interval 5: (count)

7. Lastly, create a bar (rectangle) for each interval, where the height of the bar represents the count for that interval. The width of the bar will be proportional to the interval width.

Based on the given data and the steps provided, you can create a bar chart or histogram using any graphing software or even Excel by following the steps mentioned above. By visualizing the data, you can determine which histogram best portrays the data set.