Question

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

Explanation:

Part A: A histogram would be the best type of graphic to use to depict the supplied data.

The distribution of quantitative data (in this case, the frequency of sandwich consumption) is presented by a histogram, which enables us to see the frequency of various values or ranges. When working with discrete data, as in this instance, it is quite helpful.

Part B: Making a histogram using the provided data

To divide the data set into appropriate intervals or bins, ascertain the range of values covered by the data set (from the least to the maximum value). In this instance, a minimum value of 6 and a maximum value of 30 are acceptable starting points. Based on the distribution of the data, pick an acceptable bin width, such as 5 or 10. Indicate "Number of times a sandwich was eaten" on the horizontal axis and "Frequency" (or "Count") on the vertical axis.

The height of each bar should represent the frequency of values falling within each interval or bin, and the bars should be created for each interval/bin on the horizontal axis.

The height of each bar should represent the frequency of values falling within each interval or bin, and the bars should be created for each interval/bin on the horizontal axis. Counting the number of data points in each bin will yield the frequency.

Due to the fact that each interval is continuous and the values are discrete, make sure the bars are next to one another without any gaps.

Give the histogram a suitable title, like "Frequency Distribution of Sandwich Consumption."

Include a scale on the vertical axis if necessary to make the frequency count obvious.

These instructions will help you generate a histogram that accurately depicts the provided data and shows how frequently sandwiches were consumed by eighth-graders over the course of a 30-day period.