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Yes, if it is a mathematically well behaved distribution.

For a symmetric distribution, such as the Gaussian (Normal) it is the same as the mean.

For the Standard Normal or the Student's t the median is 0.

For the exponential distribution, with parameter lambda, the median is ln(2)/lambda. (ln = natural logarithm.]

A chi-squared distribution with k degrees of freedom has a median approximated by k*(1 - 2/9k)^3.

For a Beta(a, b) distribution the median depends on the incomplete Beta function but if a and b >1, then it can be approximated by (a - 1/3)/(a + b - 2/3).

For a Weibull distribution, with scale parameter L and shape parameter K, it is L*(ln2)^(1/K).



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Q: Can the median be found for an open ended distribution?
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Open ended class within the frequency distribution?

If, in a frequency distribution, the initial class interval is indeterminate at its beginning and/or the final class interval is indeterminate at its end, the distribution is said to possess "open ended" classes.


If a frequency distribution has open-ended intervals at the extremes which measure of central location is the most difficult to estimate?

mean


Why are open-ended frequency distributions necessary?

to quickly and effectively represent data


How do you make chart of open ended questions?

I'm not sure what the question means but here we go with an answer. Open ended questions are one that when asked can not be answer with a simple yes or no. The answerer must elaborate, explain and otherwise embellish in order to give an answer. To ask an open ended question you don't as "why" but rather "what" and "how". Until you get used to asking such questions a good idea to write them down down ahead of time until the become second nature to you. There are statistical programs that can categorize open-ends. You could then create a chart based on the number of comments in each category.


What are merits and demerits of median and mode in statistics?

A big advantage of statistical mode is that it is not restricted to numbers alone. For example, among all the letters of the English alphabet, the mode is the letter 'E', which is the most frequently encountered letter. However, we cannot define the median or mean letter, since these can only be defined for numbers. This makes the scope of the mode quite broad in nature. The mode (the most reoccurring number) is generally not a very good estimator because there is nothing saying it is necessarily related to the true middle and it could easily just be a number of chance. It can be calculated when table ends are open, the mode is not a helpful measure of location, because there can be more than one mode or even no mode.