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What does mean deviation tells us about the data?
It is a measure of how variable the data is. The average distance from the average.
What is the average distance of each data value from the mean?
The standard deviation.
How do you calculate mean average deviation?
The mean average deviation is the same as the mean deviation (or the average deviation) and they are, by definition, 0.
What does standard deviation show us about a set of scores?
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.
Why is it a useful value to report standard deviation?
The standard deviation of a distribution is the average spread from the mean (average). If I told you I had a distribution of data with average 10000 and standard deviation 10, you'd know that most of the data is close to the middle. If I told you I had a distrubtion of data with average 10000 and standard deviation 3000, you'd know that the data in this distribution is much more spread out. dhaussling@gmail.com
What does absolute deviation mean?
The Mean Absolute Deviation indicates how clustered (close together) the data is, i also indicates the average of the distance of the values and the mean.
Define mean absolute deviation?
The average mean absolute deviation of a data set is the average of the absolute deviations from a central point. It is a summary statistic of statistical dispersion or variability.
What is the meaning of the mean absolute deviation?
It is the average of the distances between the data plots and the mean of the set.
How do you find the average deviation for ungrouped data?
The average deviation is always 0.
What can be said about a set of data when its standard deviation is small but not zero?
This means that the set of data is clustered really close to the mean/average. Your data set likely has a small range (highest value - lowest value). In other words, if the average is 6.3, and the standard deviation is 0.7, this means that each individual piece of data, on average, is different from the mean by 0.7. Each piece of data deviates from the mean by an average (standard) of 0.7; hence standard deviation! By definition, 66% of all data is 1 standard deviation from the mean, so 66% of the data in this example would be between the values of 5.6 and 7.0.
Can standard deviation be above 10?
Yes, depending on the data being studied. Standard deviation can be thought of as the magnitude of the average distance between the data points and their mean.
Sample standard deviation?
Standard deviation in statistics refers to how much deviation there is from the average or mean value. Sample deviation refers to the data that was collected from a smaller pool than the population.
