Questions: Determine whether the following graph can represent a normal curve. Could the graph represent a normal curve? Select all that apply. A. No, because the graph is not always greater than or equal to zero. B. No, because the graph has multiple peaks. C. Yes, because the graph has multiple peaks. D. No, because the highest point of the graph does not occur at the median. E. No, because the graph is always greater than or equal to zero. F. No, because the graph has a single peak. G. No, because the graph is symmetric about its mean. H. No, because the highest point of the graph occurs at the mean. I. Yes, because the graph has the shape of a normal curve. J. No, because the graph is not symmetric about its mean.

Determine whether the following graph can represent a normal curve.

Could the graph represent a normal curve? Select all that apply.
A. No, because the graph is not always greater than or equal to zero.
B. No, because the graph has multiple peaks.
C. Yes, because the graph has multiple peaks.
D. No, because the highest point of the graph does not occur at the median.
E. No, because the graph is always greater than or equal to zero.
F. No, because the graph has a single peak.
G. No, because the graph is symmetric about its mean.
H. No, because the highest point of the graph occurs at the mean.
I. Yes, because the graph has the shape of a normal curve.
J. No, because the graph is not symmetric about its mean.
Transcript text: Determine whether the following graph can represent a normal curve. Could the graph represent a normal curve? Select all that apply. A. No, because the graph is not always greater than or equal to zero. B. No, because the graph has multiple peaks. C. Yes, because the graph has multiple peaks. D. No, because the highest point of the graph does not occur at the median. E. No, because the graph is always greater than or equal to zero. F. No, because the graph has a single peak. G. No, because the graph is symmetric about its mean. H. No, because the highest point of the graph occurs at the mean. I. Yes, because the graph has the shape of a normal curve. J. No, because the graph is not symmetric about its mean.
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Solution

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Solution Steps

Step 1: Analyze the Properties of a Normal Curve

A normal curve is a bell-shaped curve that is symmetric about its mean. The highest point of the curve occurs at the mean, and the curve is always greater than or equal to zero. The graph has a single peak.

Step 2: Compare the given graph with the properties of a normal curve

The given graph is not bell-shaped. It starts below the x-axis, goes up, reaches a peak, then comes down again crossing the x-axis.

Step 3: Identify the correct options

The graph is not always greater than or equal to zero. It is sometimes negative. Thus, A is correct, and E is incorrect. The graph has a single peak, so options B, C and F are not correct. We cannot determine the mean or median from the graph. Hence, D and H are not correct. The graph does not have the shape of a normal curve, so I is incorrect. While the shown portion is somewhat symmetric, the graph as a whole might not be symmetric about its mean, so G and J are irrelevant.

Final Answer

A

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