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It is used, along with significant digits, to indicate the precision of a measurement. Thus, in the two-significant-digit measurement 5.4 0.2 meters, the uncertainty interval is 0.2 meters. This means that the true value of the measurement is believed to lie between 5.2 meters and 5.6 meters.
A: The standard deviation, or SD, measures the amount of variability or dispersion for a subject set of data from the mean, while the standard error of the mean, or SEM, measures how far the sample mean of the data is likely to be from the true population mean. The SEM is always smaller than the SD.The formula for the SEM is the standard deviation divided by the square root of the sample size. The formula for the SD requires a couple of steps. First, take the square of the difference between each data point and the sample mean, finding the sum of those values.Then, divide that sum by the sample size minus one, which is the variance. Finally, take the square root of the variance to get the SD.irst, take the square of the difference between each data point and the sample mean, finding the sum of those values. Then, divide that sum by the sample size minus one, which is the variance. Finally, take the square root of the variance to get the SD.