What does standard daviation tell you about the relationship between individual data value and average?
109529
The standard deviation tells you how far away something is from the average.  You can do a standard deviation on any set of data, however most people are familiar with the Normal Distribution.
408817
X = sample mean, U = theoretical mean, S = standard deviation, and N = number of data...\n\ni assume u know how to calculate X and S from above. \n\n.95 = P(1.96< (X-U)/(S/sqrt N) < 1.96)...solve for U..U will be in between to values, which means that you are 95% confident that U will lie in that range.
900254
They are different types of averages.  Mean is the actual average, median is the middle number in a set of data, and the mode is the most repeated number in a set of data(there can be more than one).
898911
Take the average of the absolute value of each of the numbers minus the mean...\n\n( |2.44-2.23| + |3.54-2.23| + |1.37 - 2.23|  + |1.5 - 2.23| + |2.3-2.23| )/5
470556
generally it depends on the data, but to correct a previous answer, median is NOT the average, the MEAN is the average. THe average includes all, if any, outliers (data that is noticeably different from the curve. If your data is a large sample, and a normal curve (reasonably bell shaped) the mean may better represent the data. If the data is skewed, the Median may be a better choice. But the best way to summarize the data is the "5 number summary" which includes the low number, high number, median (middle number) and the Q1 (25th percentile) and the Q3 (75th percentile). There are specific methods to calculate the Q1 and Q3
988027
since '800-1100' score is within 1 standard deviation (130) of the mean (930)... and assuming that the population is normally distributed, we can say that\n68.27% of the patients scored 800-1100...\n\n(that is if the 68-95-99.7 rule is universal among normally distributed populations)
411133
Eh?  Not sure what you're saying here.\n\nDo you mean "what is the correct way of talking about an average"?\n\nIn which case it is the average of the data (where we add up the results and divide by how many we had)\n\nAn average of an average would only make sense in the case where we are looking at the distribution of an average and then want to find the average result of that distribution.  If you want to go that way then....\n\nSuppose we have a population (eg people's heights) with mean 170cm and standard deviation 12cm.\n\nThe we take a sample of say, 50 values from that population (ie we measure the heights of 50 individuals)\nThen the we take an average (posh word: MEAN) of this sample.\n\nWe then take another sample of 50 values and get the mean of that sample.\n\nWe then take another sample of 50 values and get the mean of this sample.\n\netc.\n\nWe cacn then plot the frequencies of these means and get the distribution of these means.\n\nIt can be shown that it will have a normal distribution with mean 170cm (same as the population), but with a standard deviation of 12/root(50) = 1.697cm.\n\nSo the average of all these averages is 170cm - the same as the original population.  But guess you didn't want all that.\n\nCheers
820314
Standard error is standard deviation divided by n^1/2. In other words, it estimates the standard deviation of the sample mean _based on the population mean_.
109807
As far as I understand average and mean are the same thing.  Average is adding up the numbers in a set of data and divinding by the number of numbers you added up.  Example: 3, 6, 3 add up to 12, divide that by 3 and your average is 4.  The mode is the number that appears the most often.  In the set of numbers I gave as an example 3 is the mode.  Range of data is finding the difference between the highest and lowest number.  In the set of numbers above I would take 6 - 3 = 3. so three is the answer.  Good luck!
986393
Take a set of say, 51 data points of varying values.\n\nArrange them from least to greatest.\n\nThe 26th data point is the mode.\n\nThis is different from the median, which is the sum of the data points divided by 51.  The median will not necessarily be equal to any of the data points, while the mode, by definition, will.  If the distribution is normal, aka a bell curve, the median and the mode will be very close.  If the distribution is not a bell curve then the median and the mode may be quite different.
1056389
You are correct. The definition of mean is the sum of the data divided by the sample size. It is a mathematical average of a set of numbers or measurements. To find a mean you first add up all the numbers that you have. Then you divide that figure by how many numbers you have. Keep up the good work.\nEx. 234+410+355+288=1,287\n      1,287/4=321.75 or 322
1087248
The previous answer is correct.  Also, if the standard deviation is greater than your mean, then that may indicate your data has a large range, and most likely have an outlier.  For example, if you data is {1,1,1,100}.\nThe mean is 25.75\nThe standard deviation is 49.5.\nThe range of data is 100-1=99, with the outlier being 100.\n\nSometimes, experimentalist would throw out the outlier data and recompute statistics for the new set of data.  So if we throw out the outlier 100 and can rationalize that 100 is a corrupted data point because our previous trials were all 1's, then our new data set is {1,1,1} and\nThe mean is 1\nThe standard deviation is 0.\nThe range of data is 1-1=0.
542258
From http://www.robertniles.com/stats/stdev.shtml\n\nThe standard deviation is a statistic that tells you how tightly all the various examples are clustered around the mean in a set of data. When the examples are pretty tightly bunched together and the bell-shaped curve is steep, the standard deviation is small. When the examples are spread apart and the bell curve is relatively flat, that tells you you have a relatively large standard deviation.\n\n----------\n\nFrom http://en.wikipedia.org/wiki/Standard_deviation\n\nIn probability and statistics, the standard deviation is the most common measure of statistical dispersion. Simply put, standard deviation measures how spread out the values in a data set are. More precisely, it is a measure of the average difference between the values of the data in the set. If the data points are all similar, then the standard deviation will be low (closer to zero). If the data points are highly variable, then the standard variation is high (further from zero).
957340
The answer is C.\n\nHowever, do you know how to get the answer?\n\nThe mean is the average of all of the numbers. Add the four numbers you gave me and divide by 4. That is how you get your number. This is what teachers use to find your average for your school grade.\n\nSorry, im studying to be a teacher, I wanted to make sure you understood.
42727
It depends on the type of data you have
776006
If you mean the mean square deviation (which im guessng you do as the mean is just reffered to as the mean...not mean deviation) the it is quite similar to the standard deviation just it requires less work.\nAll you need to do is find the some of the squares for your data set. This means for your first bit of data take the mean from it and square the result then do the same to the second, third and so on. Now add all the results up. If you have a scientific calculator find the instruction as the calculator can do this for you which is very hand and much quicker!!\nOk now thats done all you need is to divide the answer by the amount of data you have (so for 1,2,5,4 you would divide by 4)\nHope that helped!
1156399
This is a good question even for a statistician.\nThe problem is your set is small and I do not know what the deviation between samples is, however the repeatability and reproducibility information can bind the window \nthrough which the third value will fall through or perhaps even remain in.  \n\nLet me know.