# S1 Help - Median of grouped/ungrouped data.Watch

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#1
Hi there,

Have been trying to figure this out all morning and getting nowhere.
The textbook I am using says that for grouped data the median is the n/2th value and that for ungrouped data it is the (n+1)/2th. This seems fine however then I did a past paper which asked me to calculate the median of a grouped frequency table and it used (n+1)/2. I'm not sure why this is, I thought maybe as sigma f was odd?

For reference I am doing CCEA S1 as I know forumla etc sometimes vary between exam boards.

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5 months ago
#2
For all data use Q2=n/2 th data value Where n is the number of data values. For ungrouped data, if n/2 is whole, take the average of this value and the value above, if not whole round up eg if n/2th data value is 11.25th data value we would round this up and take the 12th data value (always round up). For grouper data we just take the n/2th data value and interpolate, no rounding as this is an estimate.
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