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5 votes
5 votes
Sketch a normal curve for the following distribution. Label the x-axis values at one, two, and three standard deviations from the mean. mean=41 , standard deviation = 6

Sketch a normal curve for the following distribution. Label the x-axis values at one-example-1
User Steve Kiss
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1 Answer

20 votes
20 votes

For this problem, we are told that a certain dataset is modeled through a normal curve with a mean equal to 41 and a standard deviation equal to 6. We need to choose which graph represents the dataset.

The normal curve is symmetric, meaning that the left side of the mean will have the same shape as the right side of the mean. The middle point on the graph should be the mean, then the graph should progress in steps equal to the standard deviation on each side, so from the mean to the right the next step is the mean plus the standard deviation, then the second step should be equal to the mean plus 2 standard deviations, and so on. The same is valid for the left side, however in that case we should subtract the standard deviation.

The only graph that follows this behavior is B.

User Matis Lepik
by
2.9k points
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