An absentminded scientist has just finished analyzing their data. They put two values - 25.4 and 2.54- corresponding to the stan
dard deviation and standard error from their experiment on a scrap piece of paper but have now forgotten which one is which. Which number is the standard deviation
The standard deviation is a metric that determines the variance a set of data has both above and below the mean. A standard deviation of 25.4 means that the values in a given data set are dispersed in a range of 25.4 units both above and below the mean.
The standard error refers to the Standard Error of the Mean (SEM) which measures the precision of the mean in terms of how much a sample mean is likely to differ from the population mean. By using SEM, individuals can estimate how sure they can be that the mean of the sample reflect the true mean of the population. The standard error always is lower than the standard deviation. Since, 25.4 is the higher number, this number would be the standard deviation.
In any rational function the denominator should never equal to 0, hence in this case since the denominator is 5n the only answer is n should not equal 0
