Practice Exam

Question 5 • Mathematics for Data and Financial Literacy

Which normal distribution curve represents the data with a mean of $⁢56,000 and a standard deviation of $⁢7,250 ?

Answer

Image with description A parabola graph with the x-axis ranges 38,000, 41,000, 50,000, 56,000, and 62,000. The high median is 50,000.

Image with description A parabola graph with the x-axis ranges 43,500, 49,750, 56,000, 62,250, and 68,500. The high median is 56,000.

Image with description A parabola graph with the x-axis ranges 35,500, 42,750, 50,000, 57,250, and 64,500. The high median is 50,000.

Image with description A parabola graph with the x-axis ranges 41,500, 48,750, 56,000, 63,250, and 70,500. The high median is 56,000.

Explanation

The mean is the center of a normal distribution, so the curve should be centered at $56,000. A standard deviation of $7,250 means the next marked values should be $48,750 and $63,250, one standard deviation below and above the mean. Choice D has those values and is centered at $56,000.

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