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 the square root of the variance. The variance is an average of the squared deviations from the mean: s 2 = (x â x) â 2 n â1, where n is the sample sizeYou are probably wondering why we divide by n â1 in computing the average rather than by n. Here is an explanation.