If the distribution of the data is approximately normal, what should you use to describe the center and spread?
Mean and SD
If the distribution of the data is approximately normal, we can use the mean and standard deviation to describe the center and spread of the data.
The mean is the arithmetic average of the data values and it represents the center of the distribution. A normal distribution is symmetric around the mean. Therefore, the mean is the best measure of central tendency in this case.
The standard deviation is a measure of the amount of variation or spread in the data. In a normal distribution, 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations. Therefore, the standard deviation is a useful measure of the spread of the data in a normal distribution.
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