One graph in the figure represents a normal distribution with mean = 16 and stan

Question

One graph in the figure represents a normal distribution with mean = 16 and standard deviation -3 The other graph represents a normal distribution with mean -6 and standard deviation = 3, Determine which graph is which and explain how you know. A^ B 6 16 Choose the correct answer below. 0 A. Graph A has a mean of -6 and graph B has a mean of-16 because a larger mean shifts 0 B. Graph A has a mean of = 6 and graph B has a mean of = 16 because a larger mean shifts ° C. Graph A has a mean of = 16 and graph B has a mean of -6 because a larger mean shifts 0 D. Gra the graph to the left. the graph to the right. the graph to the left. ph A has a mean of = 16 and graph B has a mean of -6 because a larger mean shifts

Explanation / Answer

When you see a graph where the tip of the curve is shifted to either the left or the right, we no longer have a normal distribution. We now have a graph that shows a preference for one side or the other. Now our average from the data will not be the exact middle of the graph. Instead, our average now is shifted to the left or right depending on which direction our tip of the curve is shifted. If our curve tip is shifted to the left, then so is our average. If our curve tip is shifted to the right, then our average is shifted to the right, as well.

Thus, B option

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