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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 30 · 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 14, 34, 8, 38, 10, 7 and 33? (a) 33 (b) 10 (c) 38 (d) 14
  2. 2.What is the mean of 2, 13, 3, 8 and 4? (a) 8 (b) 6 (c) 7 (d) 5
  3. 3.The mean of 8 numbers is 16. When the number 52 is added to them, what is the new mean? (a) 16 (b) 21 (c) 34 (d) 20
  4. 4.What is the median of 11, 9, 29, 21 and 14? (a) 11 (b) 14 (c) 21 (d) 29
  5. 5.The mean of 7 numbers is 33. When the number 65 is added to them, what is the new mean? (a) 38 (b) 33 (c) 49 (d) 37
  6. 6.What is the mode of 19, 5, 19, 5, 15, 19 and 3? (a) 5 (b) 3 (c) 19 (d) 15
  7. 7.The mean of 9 numbers is 32. When the number 2 is added to them, what is the new mean? (a) 29 (b) 17 (c) 30 (d) 32
  8. 8.What is the mean of 6, 11, 17, 10, 6 and 16? (a) 12 (b) 13 (c) 10 (d) 11
  9. 9.What is the median of 1, 39, 15, 21 and 38? (a) 38 (b) 22 (c) 15 (d) 21
  10. 10.What is the mode of 9, 15, 2, 15, 9, 19 and 9? (a) 2 (b) 19 (c) 9 (d) 15
  11. 11.The mean of 6 numbers is 40. When the number 68 is added to them, what is the new mean? (a) 40 (b) 54 (c) 45 (d) 44
  12. 12.What is the mean of 13, 3, 19, 8 and 7? (a) 9 (b) 11 (c) 12 (d) 10
  13. 13.What is the mean of 5, 16, 10, 17 and 12? (a) 15 (b) 13 (c) 12 (d) 10
  14. 14.What is the mean of 8, 13, 4, 20 and 5? (a) 12 (b) 10 (c) 9 (d) 11
  15. 15.What is the median of 29, 6, 28, 11, 27, 17 and 26? (a) 27 (b) 11 (c) 26 (d) 17
  16. 16.What is the mode of 5, 12, 8, 17, 8, 17 and 8? (a) 17 (b) 12 (c) 5 (d) 8
  17. 17.What is the mean of 17, 13, 7, 9, 3 and 5? (a) 8 (b) 11 (c) 10 (d) 9
  18. 18.What is the mean of 4, 4, 8 and 20? (a) 8 (b) 10 (c) 12 (d) 9
  19. 19.The mean of 9 numbers is 20. When the number 10 is added to them, what is the new mean? (a) 19 (b) 20 (c) 18 (d) 15
  20. 20.What is the mean of 20, 6, 11 and 7? (a) 12 (b) 10 (c) 13 (d) 11
  21. 21.What is the mean of 13, 3, 14 and 14? (a) 13 (b) 12 (c) 11 (d) 10
  22. 22.What is the mode of 20, 4, 20, 2, 4, 11 and 4? (a) 11 (b) 20 (c) 4 (d) 2
  23. 23.What is the mean of 6, 14, 10, 2 and 13? (a) 11 (b) 10 (c) 9 (d) 8
  24. 24.What is the mean of 20, 12, 16, 9 and 23? (a) 16 (b) 17 (c) 20 (d) 15
  25. 25.What is the mode of 4, 4, 5, 5, 4, 18 and 9? (a) 9 (b) 5 (c) 4 (d) 18
  26. 26.The mean of 3 numbers is 22. When the number 18 is added to them, what is the new mean? (a) 22 (b) 23 (c) 21 (d) 20
  27. 27.The mean of 9 numbers is 15. When the number 55 is added to them, what is the new mean? (a) 20 (b) 19 (c) 15 (d) 35
  28. 28.What is the mode of 18, 1, 1, 1, 6, 18 and 13? (a) 13 (b) 6 (c) 1 (d) 18
  29. 29.The mean of 5 numbers is 33. When the number 39 is added to them, what is the new mean? (a) 36 (b) 35 (c) 33 (d) 34
  30. 30.What is the median of 3, 27, 14, 9 and 20? (a) 9 (b) 20 (c) 14 (d) 15
  31. 31.The mean of 4 numbers is 35. When the number 55 is added to them, what is the new mean? (a) 35 (b) 39 (c) 40 (d) 45
  32. 32.What is the median of 19, 8, 23, 1 and 9? (a) 19 (b) 12 (c) 23 (d) 9
  33. 33.What is the mean of 4, 15, 5, 8 and 23? (a) 10 (b) 12 (c) 11 (d) 13
  34. 34.The mean of 9 numbers is 23. When the number 13 is added to them, what is the new mean? (a) 23 (b) 21 (c) 22 (d) 18
  35. 35.What is the mean of 3, 18, 17, 5, 15 and 8? (a) 11 (b) 12 (c) 10 (d) 13
  36. 36.What is the mean of 11, 11, 10 and 16? (a) 13 (b) 12 (c) 16 (d) 11
  37. 37.The mean of 9 numbers is 32. When the number 62 is added to them, what is the new mean? (a) 36 (b) 47 (c) 32 (d) 35
  38. 38.What is the mean of 7, 12, 9 and 12? (a) 8 (b) 9 (c) 10 (d) 11
  39. 39.The mean of 8 numbers is 29. When the number 11 is added to them, what is the new mean? (a) 27 (b) 28 (c) 20 (d) 29
  40. 40.What is the mean of 6, 3, 15 and 20? (a) 10 (b) 12 (c) 13 (d) 11

Answer key

  1. 14
  2. 6
  3. 20
  4. 14
  5. 37
  6. 19
  7. 29
  8. 11
  9. 21
  10. 9
  11. 44
  12. 10
  13. 12
  14. 10
  15. 26
  16. 8
  17. 9
  18. 9
  19. 19
  20. 11
  21. 11
  22. 4
  23. 9
  24. 16
  25. 4
  26. 21
  27. 19
  28. 1
  29. 34
  30. 14
  31. 39
  32. 9
  33. 11
  34. 22
  35. 11
  36. 12
  37. 35
  38. 10
  39. 27
  40. 11

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