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How standard deviation and Mean deviation differ from each other?
There is 1) standard deviation, 2) mean deviation and 3) mean absolute deviation. The standard deviation is calculated most of the time. If our objective is to estimate the variance of the overall population from a representative random sample, then it has been shown theoretically that the standard deviation is the best estimate (most efficient). The mean deviation is calculated by first calculating the mean of the data and then calculating the deviation (value - mean) for each value. If we then sum these deviations, we calculate the mean deviation which will always be zero. So this statistic has little value. The individual deviations may however be of interest. See related link. To obtain the means absolute deviation (MAD), we sum the absolute value of the individual deviations. We will obtain a value that is similar to the standard deviation, a measure of dispersal of the data values. The MAD may be transformed to a standard deviation, if the distribution is known. The MAD has been shown to be less efficient in estimating the standard deviation, but a more robust estimator (not as influenced by erroneous data) as the standard deviation. See related link. Most of the time we use the standard deviation to provide the best estimate of the variance of the population.
A sample mean is the best point estimate of the?
he population mean
What is chumlee's IQ?
My best estimate is around 1.5 standard deviations away from the norm.
What would be a better tool for measuring spread and center in statistics?
The answer will depend on what the comparison is to be made with and also on how "better" is being judged. The arithmetic average is the best linear unbiased estimate as well as the maximum likelihood estimate of the centre. The best estimate for the spread depends on whether the data comprise the population or a sample from the population.
What is the difference between total frequency or mean in central tendency and which one can best describe the statistics in research?
Total frequency describes how many times an event occurs. For example, between 1 and 2 pm on a certain date, the number of cars passing through a specific intersection was 389. On the other hand, the mean is an average measures describing the central tendency of an event. For example, The average number of cars passing through a specific intersection between 1 and 2 pm is 376. That means sometimes it is more than 376, sometimes it is less, but 376 is the mean or average figure. In statistical research the mean is widely used, usually accompanied by the standard deviation, which shows the amount of variation from the mean. A small standard deviation means that the mean is a fairly reliable estimate of the frequency of an event. A large standard deviation means that there can be a significant difference between the mean of an event and any one occurrence of it.
