Multiple Choice Item: 1 point value

Question Overview:This question requires you to describe a data set statistically. You must first complete a series of mathematical calculat ions, using the given equation. Then, you must complete a second series of mathematical calculations which will provide you with the average of the data set. You must use mathematical reasoning skills of determining an entry point into a complex problem. This question measures the complex thinking ski lls of determining how to approach the question, completing the correct calculation trail, and arriving at an accurate answer.

Answer Rationale:

Option A is incorrect . If you chose option A, you likely made two mistakes. First, you made the mistake of averaging the masses and volumes first. Additionally, you may have divided the volume of the average sample by the mass of the average sample. This is incorrect because you do not calculate the density by dividing volume by mass.

Option B is incorrect . If you chose option B, you likely made two mistakes. First, you made the mistake of averaging the masses and volumes first. Then, you may have correctly divided the average volume by average mass to find the average density of the sample. However, you took it a step further and divided t his average density by 4. This is incorrect because you do not need to divide the average density by 4 since you already averaged the masses and volumes in your first step.

Option c is correct. If you chose option c, you completed the correct calculations in the correct order. You first divided the mass by the volume for each of the 4 samples, and then you averaged the four densities. Finally, you properly rounded the answer to 2 significant figures.

Option D is incorTect. If you chose option D, you likely made two mistakes. First, you made the mistake of averaging the masses and volumes first. You then corTectly found the density of the averaged samples by dividing the mass by the volume. However, you made your second mistake when you divided the average density sample by 8.

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