Suppose that you have two sets of data to work with. The first set is a list of all the injuries that were seen in a clinic in a month's time. The second set contains data on the number of minutes that each patient spent in the waiting room of a doctor's office. You can make assumptions about other information or variables that are included in each data set.
For each data set, propose your idea of how best to represent the key information. To organize your data would you choose to use a frequency table, a cumulative frequency table, or a relative frequency table? Why?
What type of graph would you use to display the organized data from each frequency distribution? What would be shown on each of the axes for each graph?
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For the first data set, a list of all the injuries seen in a clinic in a month's time, the best way to represent the key information would be using a frequency table. A frequency table displays the count or frequency of each category or data point in a given dataset.
To create the frequency table, we would list all the different types of injuries observed as categories or data points, and then count how many times each injury occurred in the dataset. This will provide a clear overview of the common and rare injuries seen in the clinic.
To graphically display this organized data, a bar graph or a histogram would be suitable. The x-axis of the graph would represent the different injuries, and the y-axis would represent the frequency or count of each injury. This graph would allow easy comparison and identification of the most common injuries seen in the clinic.
For the second data set, which contains data on the number of minutes each patient spent in the waiting room of a doctor's office, it would be best to use a relative frequency table. A relative frequency table displays the proportion or percentage of each category or data point in relation to the total dataset.
To create the relative frequency table, we would list the different time ranges in which patients spent in the waiting room as categories or data points. Then, we would calculate the proportion or percentage of patients falling into each time range. This will provide valuable information about the distribution of waiting times.
To graphically display this organized data, a pie chart or a column chart would be appropriate. The x-axis of the graph would represent the different time ranges in the waiting room, and the y-axis would represent the relative frequency or percentage of patients in each range. This graph would allow for easy comparison of waiting times and identification of any patterns or outliers.