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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 533 · 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 mean of 5, 8, 3, 11 and 23? (a) 12 (b) 10 (c) 11 (d) 9
  2. 2.What is the mean of 12, 8, 2 and 14? (a) 12 (b) 8 (c) 9 (d) 10
  3. 3.The mean of 6 numbers is 12. When the number 5 is added to them, what is the new mean? (a) 13 (b) 11 (c) 12 (d) 10
  4. 4.What is the mean of 19, 10, 15, 17, 18 and 11? (a) 16 (b) 14 (c) 15 (d) 18
  5. 5.What is the mean of 14, 10, 13, 11 and 2? (a) 10 (b) 11 (c) 9 (d) 12
  6. 6.What is the mode of 18, 20, 20, 7, 20, 7 and 2? (a) 7 (b) 20 (c) 18 (d) 2
  7. 7.What is the mean of 2, 6, 11 and 5? (a) 7 (b) 6 (c) 8 (d) 5
  8. 8.What is the mean of 6, 20, 17, 9, 15 and 23? (a) 14 (b) 15 (c) 16 (d) 18
  9. 9.What is the median of 32, 2, 40, 12, 14, 28 and 26? (a) 12 (b) 22 (c) 28 (d) 26
  10. 10.What is the mode of 2, 9, 5, 9, 14, 5 and 5? (a) 14 (b) 9 (c) 2 (d) 5
  11. 11.What is the mean of 11, 13, 15, 16, 12 and 11? (a) 14 (b) 15 (c) 13 (d) 12
  12. 12.The mean of 9 numbers is 24. When the number 64 is added to them, what is the new mean? (a) 28 (b) 24 (c) 44 (d) 29
  13. 13.The mean of 5 numbers is 15. When the number 21 is added to them, what is the new mean? (a) 16 (b) 18 (c) 15 (d) 17
  14. 14.What is the mode of 4, 19, 2, 19, 4, 20 and 4? (a) 20 (b) 4 (c) 2 (d) 19
  15. 15.What is the mode of 8, 18, 18, 18, 16, 5 and 16? (a) 16 (b) 8 (c) 5 (d) 18
  16. 16.What is the mode of 12, 16, 6, 6, 6, 3 and 12? (a) 3 (b) 6 (c) 16 (d) 12
  17. 17.The mean of 6 numbers is 38. When the number 10 is added to them, what is the new mean? (a) 34 (b) 38 (c) 24 (d) 35
  18. 18.What is the mode of 14, 1, 14, 1, 3, 1 and 5? (a) 5 (b) 14 (c) 1 (d) 3
  19. 19.What is the median of 22, 1, 9, 13 and 20? (a) 9 (b) 13 (c) 20 (d) 14
  20. 20.What is the median of 32, 38, 10, 6 and 13? (a) 10 (b) 14 (c) 32 (d) 13
  21. 21.What is the mean of 6, 18, 13, 13, 8 and 20? (a) 14 (b) 12 (c) 13 (d) 15
  22. 22.What is the mean of 6, 15, 14, 18 and 17? (a) 14 (b) 15 (c) 16 (d) 13
  23. 23.What is the median of 29, 10, 5, 21, 11, 20 and 19? (a) 11 (b) 19 (c) 20 (d) 21
  24. 24.What is the mean of 16, 3, 6, 17 and 18? (a) 13 (b) 10 (c) 15 (d) 12
  25. 25.What is the median of 5, 22, 39, 19, 16, 6 and 9? (a) 19 (b) 9 (c) 16 (d) 17
  26. 26.What is the median of 18, 1, 12, 32 and 7? (a) 12 (b) 14 (c) 18 (d) 7
  27. 27.What is the mode of 5, 2, 5, 14, 3, 14 and 14? (a) 3 (b) 2 (c) 14 (d) 5
  28. 28.What is the mean of 10, 6, 15 and 13? (a) 12 (b) 11 (c) 13 (d) 10
  29. 29.What is the mode of 13, 2, 14, 13, 2, 13 and 9? (a) 9 (b) 13 (c) 14 (d) 2
  30. 30.The mean of 5 numbers is 25. When the number 19 is added to them, what is the new mean? (a) 23 (b) 25 (c) 24 (d) 22
  31. 31.What is the mode of 13, 7, 18, 18, 13, 19 and 18? (a) 19 (b) 13 (c) 7 (d) 18
  32. 32.What is the mean of 14, 12, 4, 6 and 4? (a) 9 (b) 7 (c) 8 (d) 10
  33. 33.The mean of 8 numbers is 26. When the number 35 is added to them, what is the new mean? (a) 28 (b) 27 (c) 26 (d) 29
  34. 34.What is the mode of 7, 6, 18, 18, 18, 6 and 9? (a) 7 (b) 6 (c) 9 (d) 18
  35. 35.The mean of 9 numbers is 38. When the number 28 is added to them, what is the new mean? (a) 38 (b) 37 (c) 33 (d) 36
  36. 36.What is the mean of 11, 16, 12, 3, 8 and 4? (a) 8 (b) 11 (c) 10 (d) 9
  37. 37.What is the mode of 11, 4, 13, 4, 11, 4 and 2? (a) 11 (b) 4 (c) 2 (d) 13
  38. 38.What is the mode of 11, 3, 11, 3, 12, 18 and 3? (a) 3 (b) 11 (c) 12 (d) 18
  39. 39.What is the median of 30, 29, 13, 25, 35, 21 and 24? (a) 29 (b) 24 (c) 26 (d) 25
  40. 40.What is the mean of 5, 9, 8 and 14? (a) 9 (b) 12 (c) 10 (d) 8

Answer key

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

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