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In reality, a statistician never really has ALL the data. The data is instead taken from a sample of the whole population. If this sample is representative of the entire population, then any statistics based on the sample should be good estimates of the whole but probably not a perfect match. Of course the more data you get from the whole population the better the estimate, but it will always be an estimate unless you census the enitire population.

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Q: Why is it only possible to estimate the mean median and quartiles?
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Related questions

What are quartiles in relationship to mean median mode?

Quartiles are values that divide a sample of data into four groups containing the same number of observations. You will find details in the related link.


What is advantages and disadvantages of quartiles?

The advantage is that you will have the same number in each quartile. The disadvantage is that you will not be able to determine the median or mean.


Can ypu find the mean and median with data from a histogram?

You can estimate the median and the mean.


Is it possible to have the same mean median and mode?

Yes.


Can you find the mean or median of a set of data from a histogram?

You can estimate them both.


Can you find the mean median of a set of data from a histogram?

You can estimate them both.


Mode is 100 and mean is less than the median?

It is perfectly possible.


What is a set of 5 positive numbers that have median 6 and mean 10?

There can be any number of sets to satisfy this. The median is the number in the middle and the mean is the average of the numbers. 2,4,6,8,30 is one possible set median = 6 mean = 10


Is Mean is more sensitive to skewness than the median?

If the distribution is positively skewed , then the mean will always be the highest estimate of central tendency and the mode will always be the lowest estimate of central tendency (If it is a uni-modal distribution). If the distribution is negatively skewed then mean will always be the lowest estimate of central tendency and the mode will be the highest estimate of central tendency. In both positive and negative skewed distribution the median will always be between the mean and the mode. If a distribution is less symmetrical and more skewed, you are better of using the median over the mean.


Is it possible to have the mean median and mode the same number?

Yes, you can if you have 3 of the same number. For example, 33, 33, 33. Your mean, median and mode will be 33 for all the them.


How do you solve a quartile?

Quartiles have nothing to be "solved", but they can be "found" if that's what you mean...


How do mean deviation from median?

The mean deviation from the median is equal to the mean minus the median.