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Statistics

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?

Sample Answer

Data Set 1: Injuries in a Clinic

Best way to represent key information:

Frequency table: This is the best choice because it will clearly show the types of injuries and how many times each type occurred during the month.

Why a frequency table?

We are interested in counting the occurrences of different injury types (e.g., sprains, fractures, cuts).
A frequency table provides a clear and concise way to show how often each injury type appears in the data set.

Full Answer Section

Data organization:

Each row of the table would represent a specific type of injury, and the corresponding cell would show the frequency (number of times it was seen).

Data Set 2: Waiting Room Times

Best way to represent key information:

Histogram: This is the best choice because it effectively displays the distribution of waiting room times.

Why a histogram?

We are interested in understanding how the waiting room times are spread out (e.g., are most patients waiting for a short time, a long time, or somewhere in between?).
A histogram visually depicts the frequency of waiting times within specific time intervals (bins).

Data organization:

The data would be divided into time intervals (e.g., 0-15 minutes, 16-30 minutes, etc.). Each bin on the x-axis of the histogram would represent a time interval, and the y-axis would show the frequency of patients who waited within that time range.

Graphs for Each Data Set:

Data Set 1: Injuries

Graph type: Bar graph
X-axis: Types of injuries (e.g., sprains, fractures, cuts)
Y-axis: Frequency (number of times each injury was seen)

Data Set 2: Waiting Room Times

Graph type: Histogram
X-axis: Waiting room time intervals (e.g., 0-15 minutes, 16-30 minutes, etc.)
Y-axis: Frequency (number of patients who waited within that time interval)

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