Simple answer:
Divide the total number of observations (plus 1, if small) by 2 to find the middle rank.
Look at the cumulative frequencies for the grouped data and find the group in which the middle rank would appear. That is the median group.
More sophisticated answer:
Withing the median group, interpolate.
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D=E1+((dN/10)-Cf)(I)/F The formula of deciles is different for grouped and ungrouped data.
You put the numbers in order from least to greatest then, start at the beginning and end, and cross out one... two... three... four..., then so on, until you have only one number in the middle. Example 27,44,45,46,52; cross out 27, then... 52, then... 44, then... 46, then... 45 is the last answer left, so 45, is your answer. man, whoever answered this question is a total fool. they wanted to know how to find the median of GROUPED DATA not just the median. wow what a fool.
On the cumulative frequecy diagram, find 50% on the frequency [usually, vertical] axis. Draw a line to the graph and then drop a perpendicular to the other [horizontal] axis. Where it hits the second axis is the median value.
In continuous grouped data the data is collected continuously and in groups. Data collected is in class intervals the actual data values are not visible.
Median