up to, 1  as far as or approaching (a certain part, degree, point, etc.): She went wading up to her knees. I am up to the eighth lesson. 2  in full realization or attainment of: He worked up to president of the company. 3  as many as; to the limit of: The car will seat up to five persons.
The standard deviation is a measure of how the data is clustered about the mean. For large sets of data, approximately 68.3% of the data lies within one standard deviation of the mean and approximately 95.4% of the data lies within two standard deviations of the mean.
The standard deviation is a measure of the spread of scores within a set of data. Usually, we are interested in the standard deviation of a population.However, as we are often presented with data from a sample only, we can estimate the population standard deviation from a sample standard deviation. These two standard deviations-sample and population standard deviations-are calculated differently.In statistics, we are usually presented with having to calculate sample standard deviations, and so this is what this article will focus on, although the formula for a population standard deviation will also be shown.he standard deviation is a measure of the spread of scores within a set of data. Usually, we are interested in the standard deviation of a population.