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Distinguish between a small standard deviation and a large one in relation to a normal distribution...

Distinguish between a small standard deviation and a large one in relation to a normal distribution curve.

Math   Statistics-And-Probability   
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Answer #1

When there is a small deviation thin curve is obtained and when there is high deviation fat curve is obtained


What Does it Actually Mean?

It tells you how tightly your data is clustered around the mean. When the bell curve is flattened (your data is spread out), you have a large standard deviation — your data is further away from the mean. When the bell curve is very steep, your data has a small standard deviation — your data is tightly clustered around the mean. For example, the graph on the left might represent an abnormally high number of students getting scores close to the average, while the graph on the right represents more students getting scores away from the average.

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