GLOSSARY ENTRY (DERIVED FROM QUESTION BELOW) | ||||||
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21:30 Oct 14, 2002 |
German to English translations [PRO] Science - Mathematics & Statistics / Statistics | |||||||
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| Selected response from: Kim Metzger Mexico Local time: 15:44 | ||||||
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Summary of answers provided | ||||
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2 | My guess |
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My guess Explanation: Dear Dr. Labusga, I was hopeless in math at school, but this might be it. Measures of Variability While measures of position describe where the data points are concentrated, measures of variability measure the dispersion (or spread) of the data set. Range: The range is the difference between the largest and the smallest observations in the data set. However, This is a limited measure because it depends on only two of the numbers in the data set. Using the above data set again, the range is 149, but that does not provide any information regarding the concentration of the data at the low end of the scale. Another limitation of range is that it is affected by the number of observations in the data set. Generally, the more observation there are, the more spread out they will be. One use of range in everyday life is in newspaper stock market summaries, which give the day's high and low numbers. Variance: Unlike range, variance takes into consideration all the data points in the data set. If all the observation are the same, the variance would be zero. The more spread out the observation are, the larger the variance. Standard Deviation: Standard deviation is the positive square root of the variance, and is the most common measure of variability. Standard deviation indicates how close to the mean the observations are. The larger the standard deviation, the more variation there is in the data set. -------------------------------------------------- Note added at 2002-10-14 22:02:16 (GMT) -------------------------------------------------- I.e., position and variance Reference: http://www.ncspearson.com/research-notes/95-12.htm |
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