You cannot. If you are told the standard deviation of a variable there is no way to tell whether that was derived from grouped or ungrouped data.
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Standard deviation is how much a group deviates from the whole. In order to calculate standard deviation, you must know the mean.
It depends on WHAT the sd is the same as.
Standard deviation is a calculation. It I used in statistical analysis of a group of data to determine the deviation (the difference) between one datum point and the average of the group.For instance, on Stanford-Binet IQ tests, the average (or, mean) score is 100, and the standard deviation is 15. 65% of people will be within a standard deviation of the mean and score between 85 and 115 (100-15 and 100+15), while 95% of people will be within 2 standard deviations (30 points) of the mean -- between 70 and 130.
Within 1 stdev of the mean - between 40 and 60.
T score was originally given to a type of normalized score based on a group of unselected pre-adolescents. Notwithstanding, it has come to refer to any normally distributed standard scores that has a mean of 50 and a standard deviation of 10. L F C