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The median shows where the 'middle' of your data is. For qualitative data, this only makes sense when the variable is ordinal. An ordinal variable is one whose values have a natural order, eg never/rarely/sometimes/often/always. If you have nominal data (qualitative data with no order) eg democratic/republican/other, you might find the mode (most common value) useful.

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Q: Measurement of qualitative variables using median?
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