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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 462 · 40 questions
TalentJR

How to solve it (Work with totals): Mean = total ÷ how many; so total = mean × how many. Median: put the numbers in order and take the middle one. Mode: the number that appears most often. A number added: new mean = (old total + the number) ÷ (how many + 1).

NameDateTime takenScore ___ / 40
  1. 1.What is the median of 19, 10, 36, 11, 6, 23 and 31? (a) 23 (b) 11 (c) 20 (d) 19
  2. 2.What is the mode of 17, 4, 2, 4, 19, 2 and 2? (a) 17 (b) 19 (c) 2 (d) 4
  3. 3.What is the mean of 12, 9, 8 and 7? (a) 12 (b) 10 (c) 9 (d) 8
  4. 4.What is the median of 10, 34, 22, 14, 24, 3 and 8? (a) 22 (b) 15 (c) 10 (d) 14
  5. 5.What is the mean of 2, 5, 20, 11 and 12? (a) 11 (b) 12 (c) 10 (d) 9
  6. 6.What is the median of 2, 14, 40, 35 and 28? (a) 35 (b) 28 (c) 40 (d) 14
  7. 7.What is the mode of 7, 11, 3, 7, 3, 7 and 2? (a) 7 (b) 11 (c) 2 (d) 3
  8. 8.What is the mean of 13, 17, 19 and 3? (a) 14 (b) 15 (c) 13 (d) 12
  9. 9.What is the median of 19, 21, 10, 1, 13, 36 and 12? (a) 19 (b) 16 (c) 13 (d) 1
  10. 10.What is the median of 9, 25, 17, 36 and 24? (a) 25 (b) 24 (c) 17 (d) 23
  11. 11.What is the mean of 4, 3, 2 and 7? (a) 6 (b) 3 (c) 5 (d) 4
  12. 12.What is the mean of 20, 15, 20, 6 and 19? (a) 17 (b) 15 (c) 20 (d) 16
  13. 13.What is the median of 28, 21, 10, 32, 1, 19 and 40? (a) 19 (b) 32 (c) 21 (d) 28
  14. 14.What is the median of 14, 8, 1, 23 and 39? (a) 1 (b) 14 (c) 23 (d) 17
  15. 15.What is the mode of 17, 12, 11, 11, 12, 1 and 12? (a) 12 (b) 11 (c) 17 (d) 1
  16. 16.What is the mean of 10, 8, 13, 17, 7 and 5? (a) 9 (b) 12 (c) 10 (d) 11
  17. 17.What is the mode of 13, 5, 13, 16, 4, 4 and 4? (a) 5 (b) 13 (c) 16 (d) 4
  18. 18.What is the mean of 6, 18, 10, 15 and 6? (a) 10 (b) 12 (c) 13 (d) 11
  19. 19.What is the mean of 12, 2, 9 and 9? (a) 10 (b) 8 (c) 9 (d) 7
  20. 20.What is the mode of 10, 3, 4, 10, 3, 10 and 16? (a) 16 (b) 3 (c) 10 (d) 4
  21. 21.What is the mean of 13, 5, 17, 6, 4 and 3? (a) 9 (b) 10 (c) 8 (d) 7
  22. 22.What is the median of 18, 6, 30, 12, 29, 26 and 37? (a) 29 (b) 18 (c) 26 (d) 12
  23. 23.The mean of 7 numbers is 16. When the number 48 is added to them, what is the new mean? (a) 16 (b) 20 (c) 21 (d) 32
  24. 24.The mean of 9 numbers is 14. When the number 44 is added to them, what is the new mean? (a) 18 (b) 14 (c) 17 (d) 29
  25. 25.What is the mode of 6, 1, 20, 6, 14, 1 and 1? (a) 6 (b) 14 (c) 20 (d) 1
  26. 26.What is the median of 24, 35, 38, 11 and 14? (a) 35 (b) 14 (c) 38 (d) 24
  27. 27.What is the mean of 8, 12, 17 and 19? (a) 13 (b) 15 (c) 14 (d) 16
  28. 28.What is the mean of 7, 7, 16, 11, 18 and 25? (a) 12 (b) 15 (c) 13 (d) 14
  29. 29.The mean of 6 numbers is 10. When the number 31 is added to them, what is the new mean? (a) 10 (b) 13 (c) 12 (d) 14
  30. 30.What is the median of 26, 9, 36, 14, 22, 17 and 40? (a) 26 (b) 22 (c) 17 (d) 14
  31. 31.What is the mode of 15, 4, 8, 4, 18, 18 and 18? (a) 4 (b) 18 (c) 8 (d) 15
  32. 32.What is the mean of 5, 17, 12, 8 and 8? (a) 11 (b) 9 (c) 10 (d) 12
  33. 33.What is the mode of 3, 15, 15, 3, 18, 3 and 6? (a) 18 (b) 3 (c) 15 (d) 6
  34. 34.What is the median of 22, 26, 31, 14, 39, 12 and 36? (a) 31 (b) 22 (c) 26 (d) 14
  35. 35.What is the median of 30, 34, 27, 18, 16, 3 and 38? (a) 18 (b) 28 (c) 27 (d) 30
  36. 36.What is the median of 26, 30, 19, 23 and 31? (a) 23 (b) 19 (c) 30 (d) 26
  37. 37.What is the mode of 5, 2, 4, 15, 4, 15 and 4? (a) 15 (b) 4 (c) 5 (d) 2
  38. 38.What is the mode of 19, 14, 14, 1, 6, 14 and 1? (a) 19 (b) 6 (c) 1 (d) 14
  39. 39.What is the median of 5, 10, 19, 4 and 24? (a) 5 (b) 19 (c) 11 (d) 10
  40. 40.The mean of 5 numbers is 17. When the number 35 is added to them, what is the new mean? (a) 21 (b) 17 (c) 26 (d) 20

Answer key

  1. 19
  2. 2
  3. 9
  4. 14
  5. 10
  6. 28
  7. 7
  8. 13
  9. 13
  10. 24
  11. 4
  12. 16
  13. 21
  14. 14
  15. 12
  16. 10
  17. 4
  18. 11
  19. 8
  20. 10
  21. 8
  22. 26
  23. 20
  24. 17
  25. 1
  26. 24
  27. 14
  28. 14
  29. 13
  30. 22
  31. 18
  32. 10
  33. 3
  34. 26
  35. 27
  36. 26
  37. 4
  38. 14
  39. 10
  40. 20

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