Median finds the middle; mode finds the most frequent value
Find the median after sorting. For an even count, average the two middle values. The mode is a value with the highest frequency.
| Relation | Meaning |
|---|---|
| 1, 2, 2, 7, 9 | Sort all observations, including repeats. |
| median = 2 | The third of five values is the middle. |
| mode = 2 | Two occurs twice; each other value occurs once. |
One worked example
- 1, 2, 2, 7, 9Sort all observations, including repeats.
- median = 2The third of five values is the middle.
- mode = 2Two occurs twice; each other value occurs once.
Watch out: There may be several modes. The median need not be an observed value.
Goal, prerequisites and card origin
What you will learn: Distinguish two ways of describing a dataset.
What you need first: Ordering numbers.
An original PEAZIT working card. Independent expert review and effectiveness testing have not yet taken place. · v1
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Find the median after sorting. For an even count, average the two middle values. The mode is a value with the highest frequency.