Nothing happens. There is no particular significance in that happening.
It means that particular observation is close to the population [or sample] mean.
No, if the standard deviation is small the data is less dispersed.
When the sample size is small
It doesn't matter whether comparisons are involved. A small standard deviation indicates that population values are likely to be clustered closely around the mean.
that you have a large variance in the population and/or your sample size is too small
A normal small intestine is 17 feet with an absolute deviation of about three to four feet.
The mean absolute deviation for a set of data is a measure of the spread of data. It is calculated as follows:Find the mean (average) value for the set of data. Call it M.For each observation, O, calculate the deviation, which is O - M.The absolute deviation is the absolute value of the deviation. If O - M is positive (or 0), the absolute value is the same. If not, it is M - O. The absolute value of O - M is written as |O - M|.Calculate the average of all the absolute deviations.One reason for using the absolute value is that the sum of the deviations will always be 0 and so will provide no useful information. The mean absolute deviation will be small for compact data sets and large for more spread out data.
It means that particular observation is close to the population [or sample] mean.
The relative standard deviation is the absolute value of the ration of the sample mean to the sample standard deviation. This value appears to be quite small; however, without comparative data it is difficult to know what to make of it. In some contexts it might even be considered large.
No, if the standard deviation is small the data is less dispersed.
a very small negative number
If the deviation is small ie if the distribution is packed close to the mean.
No. A small standard deviation with a large mean will yield points further from the mean than a large standard deviation of a small mean. Standard deviation is best thought of as spread or dispersion.
When the sample size is small
Standard Deviation tells you how spread out the set of scores are with respects to the mean. It measures the variability of the data. A small standard deviation implies that the data is close to the mean/average (+ or - a small range); the larger the standard deviation the more dispersed the data is from the mean.
A small standard deviation indicates that the data points in a dataset are close to the mean or average value. This suggests that the data is less spread out and more consistent, with less variability among the values. A small standard deviation may indicate that the data points are clustered around the mean.
Precision refers to how close the values in a set of data are with respect to each other. An indication of precision is given by the mean deviation from the mean of a set of readings (Standard deviation also will do): Mean deviation from mean = Summation (Modulus(X - mean)) / n where X denotes the individual readings and n is the number of readings taken. A small mean deviation from mean indicates high precision.