Consider the information in the chart shown below, which is in...

Question

Consider the information in the chart shown below, which is in the USA Today style of graph. Could the information provided be organized into a pie chart? Why or why not?

Accepted Answer

Hello there. Today we are going to solve the following practice problem together. So first off, let us read the problem and highlight all the key pieces of information that we need to use in order to solve this problem. A conservation group recorded the freshwater volume in units of cubic kilometers stored in six regional aquifers. Region A, 2500, Region B 8000, Region C, 11,200. Region D 1750, Region E, 3300, Region F 4900. Would it make sense to display these data points in a pie chart? If so, what is the whole used for the pie chart? OK. So it appears for this particular problem we're given a scenario, and in this scenario we have a conservation group who recorded the freshwater volume in units of cubic kilometers that is stored in 6 regional aquifers and we're asked to Take this information that is provided to us by the prom itself, and we're asked to determine whether or not it would make sense to display these data points within a pie chart. And if we can display them in a pie chart, what is the hole used for in this particular pie chart? So now that we know what we're ultimately trying to solve for, Let us read off our multiple choice answers to see what our final answer might be. A is yes, 29,650 cubic kilometers. B is yes, 30,150 cubic kilometers. C is yes, 31,650 cubic kilometers, and D is no, a pie chart is not appropriate. OK. So our first step that we need to take in order to solve this particular prompt is we need to recall when it is considered appropriate to use a pie chart. So we need to recall the following rule. So as you should recall, a pie chart is appropriate when the data is non-negative parts that sum to a whole. So once again, a pie chart is appropriate when the data are non-negative parts that sum to a whole, so we need to apply the rule to check non-negativity, so we need to make sure that there's not any negative values and the part whole interpretation. For this particular prompt, and we need to be able to recognize for this particular prompt all the values, all the data points are non-negative, and they represent parts of the total fresh water count. So that means based on this information, a pie chart is appropriate. So that so far we solve for one answer. Hooray, we did it. So yes, we can say yes, a pie chart is appropriate. Yes, yes, yes. So, now that we know that a pie chart is appropriate, we can eliminate multiple choice answer letter D because D states that a pie chart is not appropriate, but we just established that a pie chart is appropriate for this particular prompt. So now we need to move on to our second step. And our second step is we need to recall and use the following formula that will help us determine the total as a sum. So the total T is equal to the sum. Evaluated at I of X subscript I. So now we need to compute the sum, so we need to take T, the total is equal to 2500 plus 8000. Plus 11,200 plus 1750, so 1750. Plus, 3300. Plus, 4900, so 4900. OK, right, we did it. So, Essentially what we're doing to quickly recap what I've done is what we're doing together is we're taking all of our different values and we're adding them together to find the total sum. So we're taking 8 regions A through F and we're adding them together. So we're taking region A. Plus region B plus region C+ region D + region E plus region F. We're adding them all together. And when we add them all together, we will find that the total T is equal to 31,650, and we need to recall a note that we're told that our units of measurement are cubic kilometers. So that is our second and final answer. All right, we did it. So 31,650 cubic kilometers. So that will mean looking at our multiple choice answers are correct and final answer. Without a doubt, will have to be multiple choice answer letter C. Yes C shows our second answer, which is what is the hole used for the pie chart, and the hole is 31,650, and this only matches up to multiple choice answer letter C. So that means we can eliminate our other two multiple choice answers. So once again, our final answer without a doubt will be multiple choice sensor letter C, yes, 31,650 cubic kilometers. So therefore, in conclusion, once again, the hole for the pie chart is 31,650 cubic kilometers, and a pie chart is appropriate for this particular problem. And that's it. Thank you so much for watching. Hopefully that helped, and I can't wait to see you in the next video. Bye.

Consider the information in the chart shown below, which is in the USA Today style of graph. Could the information provided be organized into a pie chart? Why or why not?

Key Concepts

Types of Data Representation

Mutually Exclusive and Exhaustive Categories

Interpreting Percentages in Context

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