The discussion involves having two sets of data that should be represented and organized using a graph. The first set of data consists of a list of all injuries in a clinic in a month. The data could be represented using a relative frequency chart.
The tabular representations for the data would be as:
Injury - Frequency
Head injury 7
Fracture 4
Shoulder dislocation 2
Sprains 5
Cuts 10
For the given data, the y-axis would have the number of occurrences, while the x-axis would have the type of injury. The data would best be graphically represented using a pie chart that shows the specific percentages or the proportional nature of the data (Siirtola et al., 2019). Representing the list of injuries in a month using a pie chart would show specific percentages and the given percentages.
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The second set of data involves a list of the number of minutes patients spend in the waiting room of a doctor’s office.
Number of minutes - Patients Seen
46 - 55 minutes 3
36 - 45 minutes 6
26 - 35 minutes 10
16 - 25 minutes 11
6 - 15 minutes 7
0 - 5 minutes 4
The data would be represented using a cumulative frequency table. The data would then be graphically represented using a histogram. The graph would have the time in minutes on the x-axis and the number of patients on the y-axis. A histogram would best be used to represent continuous and quantitative data (Mishra et al., 2019). The time taken would be used as the continuous variable as it can be represented in seconds, minutes, or hours. Time could be placed in several classes, such as the 10-minute intervals. Each group's frequency would be represented on the y-axis, while the categories of time would be presented on the x-axis. The graph would be used to determine the amount of time spent by most patients in the waiting room.
Response to Instructor Karena Curtis
The discussion provides an overview of the importance of graphs in statistics. Graphs are used to represent data visually and to show what changes may be necessary. Frequency tables and cumulative relative frequency tables are used to identify trends in the data and compare the same data types. Additionally, some graphs could be misleading and distorted, making it necessary for viewers to understand the data's specific functions.
Response to Samantha Grove
The discussion accurately shows how to represent the data using frequencies and relative frequency categories. The second data is also well-represented in a frequency table that has the given frequencies. However, the discussion would have made use of graphical representations to analyze the data further.
References
Mishra, P., Pandey, C. M., Singh, U., Gupta, A., Sahu, C., & Keshri, A. (2019). Descriptive statistics and normality tests for statistical data. Annals of cardiac anesthesia , 22 (1), 67. https://dx.doi.org/10.4103%2Faca.ACA_157_18
Siirtola, H., Räihä, K. J., Istance, H., & Špakov, O. (2019, September). Dissecting pie charts. In IFIP Conference on Human-Computer Interaction (pp. 688-698). Springer, Cham. https://doi.org/10.1007/978-3-030-29384-0_41