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What is our shape when we use SD to measure spread?

1) Normal Distribution
2) Bell Curve
3) Skewed Distribution
4) Uniform Distribution

User Rani
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Final answer:

The shape associated with using standard deviation to measure spread is the Normal Distribution or Bell Curve, which applies best to symmetric, bell-shaped data. Skewed or Uniform Distributions may not be as clearly interpreted with standard deviation alone.

Step-by-step explanation:

When using standard deviation (SD) to measure spread, the shape we refer to is typically the Normal Distribution or Bell Curve. This is because, for a dataset with a normal distribution, Chebyshev's Rule and the Empirical Rule apply well, helping us understand how data is spread in relation to the mean. For a normal distribution, we can say that approximately 68% of data falls within one standard deviation from the mean, about 95% within two standard deviations, and over 99% within three standard deviations.

It's important to note that standard deviation is most useful in symmetric distributions like a normal distribution. In cases of Skewed Distributions, which are asymmetrical, or Uniform Distributions, where data is evenly spread across the range, standard deviation may not provide a clear understanding of data variation. Therefore, when you are presented with a symmetric, bell-shaped distribution, you can confidently use the standard deviation to measure spread and expect a normal distribution shape.

User Rob Aston
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