Whatever Use the same data from Exercise 7 to construct a Pare...

Question

Whatever Use the same data from Exercise 7 to construct a Pareto chart. Which graph does a better job of illustrating the data: Pareto chart or pie chart?

Accepted Answer

Hello, everyone. Let's take a look at this question together. A survey was conducted to determine the favorite outdoor activities among a group of 500 people. The number of respondents who preferred each activity is as follows hiking 150, cycling 120, fishing 80, camping 90, and running 60. Construct a pie chart as well as a Pareto chart to represent the data. Which graph does a better job of illustrating the data, the Pareto chart or the pie chart? Is it answer choice A, the pie chart, answer choice B, the Pareto chart? Answer choice C, both graphs are equally effective, or answer choice D, neither of the graphs can be used to illustrate the given data. So starting with constructing the pie chart, we know that to construct the pie chart, we must first calculate the percentage for each activity using the percentage formula, where percentage is equal to the category frequency divided by the total responses multiplied by 100. And then using our percentages, we can convert them into an angle using the angle formula of percentage divided by 100 multiplied by 360 degrees, which converting all of the frequencies for the different outdoor activities into percentages and then converting the percentages into the angles, we get the following values in the table. And then using the calculated angles, we can construct our. Pie chart where each sector corresponds to the calculated angles for each of the different outdoor activities. And then to construct the Pareto chart, we arrange the given data in descending order and compute the cumulative frequency for each activity, and then using the cumulative frequencies, we can then calculate the cumulative percentages for each of the activities. And then using this data, we can Construct our Pareto chart by creating a bar graph where the X axis represents the activities, the left side of the y axis represents the frequency, and then we draw bars for each activity based on their frequencies, then plot a cumulative percentage curve where the right side of the Y axis represents the cumulative percentage. So then we plot points. For each cumulative percentage above the corresponding bar and connect the points with a smooth line, giving us the following Pareto chart. And now we can compare the pie chart versus the Pareto chart, where the pie chart shows proportions well but is less effective in displaying small differences, and the Pareto chart clearly ranks categories in descending order and includes a queue. Cumulative percentage trend. Therefore, in conclusion, the Pareto chart does a better job of illustrating the data because it clearly highlights the most preferred activities and how they contribute cumulatively. Therefore, the correct answer choice is answer choice B, the Pareto chart, as the Pareto chart does a better job of illustrating the data, and all other answer choices are incorrect. I hope you found this video to be helpful. Thank you and goodbye.

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