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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 268 · 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.The mean of 4 numbers is 17. When the number 37 is added to them, what is the new mean? (a) 22 (b) 17 (c) 21 (d) 27
  2. 2.What is the mean of 10, 15, 16, 10 and 4? (a) 12 (b) 10 (c) 11 (d) 13
  3. 3.What is the median of 38, 37, 17, 11 and 22? (a) 37 (b) 22 (c) 17 (d) 25
  4. 4.What is the mode of 16, 2, 12, 15, 16, 16 and 2? (a) 15 (b) 2 (c) 16 (d) 12
  5. 5.The mean of 7 numbers is 36. When the number 68 is added to them, what is the new mean? (a) 40 (b) 41 (c) 36 (d) 52
  6. 6.The mean of 4 numbers is 13. When the number 3 is added to them, what is the new mean? (a) 12 (b) 13 (c) 11 (d) 8
  7. 7.What is the mean of 14, 9, 14, 6 and 17? (a) 13 (b) 12 (c) 15 (d) 10
  8. 8.What is the mode of 19, 7, 7, 16, 16, 16 and 4? (a) 7 (b) 4 (c) 19 (d) 16
  9. 9.The mean of 5 numbers is 39. When the number 33 is added to them, what is the new mean? (a) 39 (b) 38 (c) 36 (d) 37
  10. 10.The mean of 4 numbers is 10. When the number 15 is added to them, what is the new mean? (a) 10 (b) 13 (c) 12 (d) 11
  11. 11.What is the median of 1, 19, 31, 10, 13, 28 and 6? (a) 10 (b) 13 (c) 14 (d) 19
  12. 12.What is the mean of 5, 8, 20, 5, 16 and 24? (a) 12 (b) 13 (c) 14 (d) 15
  13. 13.What is the mode of 14, 19, 19, 10, 14, 19 and 17? (a) 14 (b) 10 (c) 19 (d) 17
  14. 14.What is the mode of 15, 1, 15, 3, 3, 3 and 6? (a) 6 (b) 1 (c) 15 (d) 3
  15. 15.The mean of 9 numbers is 20. When the number 40 is added to them, what is the new mean? (a) 20 (b) 22 (c) 30 (d) 23
  16. 16.What is the median of 13, 32, 4, 9 and 33? (a) 32 (b) 4 (c) 13 (d) 9
  17. 17.What is the mean of 9, 20, 13, 5 and 23? (a) 13 (b) 16 (c) 14 (d) 15
  18. 18.What is the mean of 3, 20, 7 and 10? (a) 11 (b) 9 (c) 8 (d) 10
  19. 19.What is the mode of 4, 4, 2, 19, 3, 2 and 4? (a) 3 (b) 19 (c) 4 (d) 2
  20. 20.What is the mean of 11, 9, 18, 11, 5 and 12? (a) 13 (b) 11 (c) 10 (d) 12
  21. 21.What is the mean of 19, 5, 16, 19, 7 and 18? (a) 15 (b) 12 (c) 13 (d) 14
  22. 22.What is the median of 5, 21, 29, 20 and 24? (a) 20 (b) 24 (c) 21 (d) 29
  23. 23.What is the mean of 10, 17, 9, 4 and 5? (a) 8 (b) 10 (c) 9 (d) 11
  24. 24.What is the mode of 2, 2, 10, 17, 17, 2 and 14? (a) 14 (b) 2 (c) 10 (d) 17
  25. 25.What is the mean of 11, 14, 5, 17 and 13? (a) 10 (b) 13 (c) 12 (d) 15
  26. 26.What is the mean of 11, 8, 7 and 14? (a) 11 (b) 9 (c) 10 (d) 8
  27. 27.What is the mean of 9, 9, 4, 17 and 11? (a) 12 (b) 11 (c) 9 (d) 10
  28. 28.What is the mean of 14, 5, 11 and 2? (a) 8 (b) 9 (c) 7 (d) 10
  29. 29.What is the median of 21, 4, 28, 24 and 26? (a) 28 (b) 21 (c) 24 (d) 26
  30. 30.What is the mean of 15, 15, 6 and 12? (a) 11 (b) 12 (c) 16 (d) 13
  31. 31.What is the median of 6, 15, 11, 22, 1, 19 and 3? (a) 15 (b) 22 (c) 6 (d) 11
  32. 32.What is the mode of 15, 12, 8, 20, 8, 12 and 8? (a) 15 (b) 8 (c) 12 (d) 20
  33. 33.What is the median of 10, 7, 13, 22 and 29? (a) 22 (b) 13 (c) 14 (d) 10
  34. 34.What is the median of 9, 12, 2, 36 and 3? (a) 12 (b) 9 (c) 2 (d) 3
  35. 35.What is the mode of 17, 4, 7, 17, 12, 17 and 4? (a) 17 (b) 12 (c) 4 (d) 7
  36. 36.What is the mean of 14, 20, 18, 18, 17 and 15? (a) 16 (b) 18 (c) 19 (d) 17
  37. 37.The mean of 4 numbers is 18. When the number 28 is added to them, what is the new mean? (a) 21 (b) 23 (c) 20 (d) 18
  38. 38.What is the median of 2, 11, 31, 20 and 39? (a) 11 (b) 21 (c) 20 (d) 31
  39. 39.What is the mode of 11, 11, 7, 4, 7, 3 and 11? (a) 4 (b) 11 (c) 3 (d) 7
  40. 40.The mean of 5 numbers is 17. When the number 23 is added to them, what is the new mean? (a) 20 (b) 19 (c) 18 (d) 17

Answer key

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

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