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Median Worksheet Generator

Generate free median worksheets using positive-only, negative-only, and mixed-sign integer data sets with verified answers.

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20 verified problemsSeed 482731
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Worksheet #482731
Statistics practice

Median

Name Date

Find the median of each data set.

  1. −7, −18, −25, −23, −1
  2. −24, −30, −26, 30, 23, 26
  3. 13, 7, 29, 28, 14, 4, 23
  4. −1, −9, −16, −15, −12, −19
  5. 15, −1, 23, 28, −14, 26
  6. 25, 27, 10, 15, 28
  7. −24, −7, −23, −9, −27
  8. −14, 6, −13, 13, −12, −23, −15
  9. 14, 1, 10, 22, 16
  10. −30, −5, −8, −28, −3, −6
  11. 11, −25, −23, −3, 24, 17
  12. 5, 29, 22, 10, 8, 30, 18
  13. −18, −7, −9, −23, −2
  14. −19, −17, 16, 4, −4, −29
  15. 21, 28, 7, 22, 4, 13, 11
  16. −17, −21, −20, −3, −29, −4
  17. −29, 11, 4, 25, −27
  18. 2, 4, 16, 21, 25, 17, 19
  19. −10, −29, −9, −4, −25
  20. −20, −17, −28, 19, −14, 11, −22
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What is median?

The median is the middle value of an ordered data set. When a set has an even number of values, the median is the mean of the two middle values.

How to solve median

  1. Rewrite the values in order from least to greatest, keeping every negative sign.
  2. If the set has an odd number of values, select the single middle value.
  3. If the set has an even number of values, add the two middle values and divide by two.
  4. Check that the same number of data values appear on each side of the median position.

Worked example

Find the median: −8, 5, −2, 9, 1, −4

  1. Order the values: −8, −4, −2, 1, 5, 9.
  2. The two middle values are −2 and 1.
  3. Average them: (−2 + 1) ÷ 2 = −0.5.

Answer: −0.5

Common mistakes

  • Choosing the value in the middle of the original unsorted list.
  • Putting negative numbers in the wrong order.
  • Selecting both middle values without averaging them for an even-sized set.
  • Dividing the sum of the middle values by the total number of values instead of two.

Practice tips

  • Cross off one value from each end of the ordered list until reaching the center.
  • Remember that a negative number with a larger absolute value is farther left on the number line.
  • Use the number of values—not their size—to locate the middle position.