Question

Question 13 (Essay Worth 12 points) (Creating Graphical Representations HC) The following data shows the number of times a class of 8th graders ate a sandwich over a 30-day period. {6, 18, 23, 21, 14, 12, 24, 13, 19, 30, 25, 20, 23, 22, 27, 14, 20, 28, 24, 25} Part A: Determine the best graphical representation to display the data. Explain why the type of graph you chose is an appropriate display for the data. (6 points) Part B: Explain, in words, how to create the graphical display you chose in Part A. Be sure to include a title, axis label(s), scale for axis if needed, and a clear process of how to graph the data. (6 points)

Answer 1

Part A:

The best graphical representation to display this data is a histogram. A histogram is a type of graph that displays the frequency of data in intervals or bins. In this case, the bins would represent the number of times the students ate a sandwich (e.g. 0-5, 6-10, 11-15, etc.) and the frequency would be the number of students who ate a sandwich that many times. A histogram is appropriate for this data because it allows us to see the distribution of the data and identify any patterns or outliers.

Part B:

To create a histogram for this data, follow these steps:

1. Title: Begin by giving your graph a descriptive title, such as "Number of Times 8th Graders Ate a Sandwich in a 30-Day Period".

2. X-Axis Label: Label the x-axis with the number of times the students ate a sandwich. Divide the range of the data (0-30) into equally spaced bins. One option could be to use bins with a width of 5 (0-5, 6-10, 11-15, etc.). Label each bin on the x-axis.

3. Y-Axis Label: Label the y-axis with "Frequency" or "Number of Students". The scale for this axis will depend on the number of students in the class. Determine an appropriate scale that will allow you to clearly display the data.

4. Plot Data: Count the number of students who ate a sandwich within each bin and plot the frequency for each bin. For example, if there were two students who ate a sandwich 0-5 times and three students who ate a sandwich 6-10 times, plot a bar with a height of 2 for the first bin and a height of 3 for the second bin.

5. Finalize: Add any necessary legend or color-coding to the histogram and finalize the graph.

The final histogram will show the distribution of the data, highlighting any patterns or outliers, and provide insight into the eating habits of the 8th grade class over the 30-day period.