SD: How Far is Typical?
SD: How Far is Typical?
This lesson involves gaining a basic understanding of what standard deviation is measuring by examining the location of data around the mean.
- Students will identify the standard deviation as a measure of spread about the mean of a distribution and loosely interpret it as an "average" or typical distance from the mean.
- deviation
- dotplot
- mean
- range
- residual
- standard deviation
This lesson involves gaining a basic understanding of what standard deviation is measuring by examining the location of data around the mean.
As a result, students will:
- Find the sum of the residuals to be 0 and consider both squaring and absolute value to eliminate the negative values.
- Compare the standard deviation to the mean of the absolute values of the residuals as the data changes.
- Change the amount of snowfall by moving data points and comparing the squared standard deviation and the mean of the squared residuals in the plots.
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