Lets say you have a set of predicted values, and a set actual results. What does the Mean and Standard Deviation tell you about your predicted values?
2006-07-19 04:48:12 · 3 answers · asked by Smoothie 5 in Science & Mathematics ➔ Mathematics
The absolute deviation of an element of a data set is the absolute difference between that element and a given point. Typically the point from which the deviation is measured is the value of either the median or the mean of the data set.
The average absolute deviation (or simply average deviation) of a data set is the average (or expected value) of the absolute deviations and is a summary statistic of statistical dispersion or variability.
The type of central tendency chosen has a significant effect on the value of the average deviation. For example, for the set {1, 2, 2, 4, 6}, the median is 2 while the mean is 3. The average absolute deviation from the median is (1 + 0 + 0 + 2 + 4)/5 = 1.4 while the average absolute deviation from the mean (sometimes called the mean deviation) is (2 + 1 + 1 + 1 + 3)/5 = 1.6.
In general, the average absolute deviation from the mean is between one and two times the average absolute deviation from the median; it is also less than or equal to the standard deviation.
2006-07-19 04:52:08 · answer #1 · answered by Anonymous · 1⤊ 0⤋
The mean standard of deviation just tells you how far off your actual results were from your predicted values. If they were exactly the same, your mean would be 0. If they were very far apart, the mean would be very high. Something like that.
2006-07-19 04:54:44 · answer #2 · answered by JustJake 5 · 0⤊ 0⤋
mean tells you the average and standard deciation tells you how far from the average the numbers fell.
2006-07-19 04:51:37 · answer #3 · answered by lexie 6 · 0⤊ 0⤋