Question

{98, 93, 91, 79, 89, 94, 91, 93, 90, 89, 78, 76, 66, 91, 89, 93, 91, 83, 65, 61, 77}

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. (2 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. (2 points)

Answer 1

histogram pic is attached

Part A: The best graphical representation to display the given data is a histogram.

Explanation: A histogram is suitable for displaying this data because it allows us to visualize the distribution and frequency of values within a dataset. The data provided consists of a list of numbers, and a histogram provides an effective way to showcase the frequency or count of each value or a range of values. It provides a clear representation of how frequently certain values occur and enables comparisons between different values or ranges.

Part B: To create a histogram to display the given data, follow these steps:

1. Title: Begin by giving your graph a title that reflects the nature of the data. For example, "Frequency Distribution of Scores."

2. Axis labels: Label the x-axis and y-axis appropriately. The x-axis represents the range of values or bins, and the y-axis represents the frequency or count of each value or bin.

3. Determine the range: Look at the minimum and maximum values in the data to determine the range of the x-axis. In this case, the minimum value is 61, and the maximum value is 98.

4. Divide the range into bins: Decide on the width and number of bins for your histogram. The bin width defines the range of values that will be grouped together. For instance, if you choose a bin width of 10, the values 60-69 will be grouped together, 70-79 will be grouped together, and so on. You can adjust the bin width to best represent the data.

5. Count the frequency: Count the frequency or number of occurrences of each value or bin. For example, how many times does 70-79 occur? How many times does 80-89 occur? and so on.

6. Plot the bars: Create rectangles or bars for each bin on the x-axis, with the height of each bar representing the frequency. The width of each bar corresponds to the bin width chosen. Ensure that the bars are adjacent to each other without any gaps.

7. Scale the axes: Adjust the scale of the axes if needed, to ensure the bars fit within the graph area appropriately. The y-axis scale should accommodate the maximum frequency value in the dataset.

8. Add a legend or key (if required): If necessary, provide a legend or key to clarify the representation of the bars or any other additional information.

9. Finalize the graph: Double-check that the graph is clear, labeled correctly, and represents the data accurately. Make any adjustments as necessary.

By following these steps, you can create a histogram that effectively displays the given data, showcasing the frequency distribution of the scores.

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