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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 419 · 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 6 numbers is 10. When the number 38 is added to them, what is the new mean? (a) 24 (b) 14 (c) 10 (d) 15
  2. 2.What is the mode of 10, 4, 4, 4, 5, 9 and 5? (a) 4 (b) 5 (c) 10 (d) 9
  3. 3.The mean of 7 numbers is 12. When the number 28 is added to them, what is the new mean? (a) 12 (b) 14 (c) 15 (d) 20
  4. 4.What is the mean of 16, 2, 20 and 18? (a) 15 (b) 13 (c) 16 (d) 14
  5. 5.What is the median of 26, 10, 3, 32 and 39? (a) 26 (b) 22 (c) 3 (d) 32
  6. 6.What is the mode of 11, 16, 10, 10, 14, 10 and 14? (a) 10 (b) 14 (c) 16 (d) 11
  7. 7.The mean of 3 numbers is 22. When the number 38 is added to them, what is the new mean? (a) 22 (b) 27 (c) 26 (d) 30
  8. 8.What is the median of 2, 3, 10, 40, 16, 23 and 15? (a) 15 (b) 16 (c) 10 (d) 40
  9. 9.What is the median of 9, 23, 36, 37 and 5? (a) 23 (b) 9 (c) 36 (d) 22
  10. 10.What is the median of 14, 18, 26, 23, 5, 6 and 20? (a) 16 (b) 23 (c) 18 (d) 20
  11. 11.What is the mean of 7, 20, 20, 20, 7 and 16? (a) 16 (b) 14 (c) 15 (d) 18
  12. 12.What is the mode of 9, 9, 3, 18, 16, 9 and 18? (a) 9 (b) 16 (c) 18 (d) 3
  13. 13.The mean of 9 numbers is 17. When the number 7 is added to them, what is the new mean? (a) 17 (b) 16 (c) 15 (d) 12
  14. 14.What is the mode of 3, 6, 19, 19, 19, 12 and 6? (a) 12 (b) 3 (c) 6 (d) 19
  15. 15.What is the mean of 2, 20, 18, 20 and 20? (a) 20 (b) 16 (c) 15 (d) 17
  16. 16.What is the mean of 3, 6, 18, 19, 5 and 21? (a) 12 (b) 13 (c) 11 (d) 14
  17. 17.What is the median of 6, 27, 11, 13, 4, 5 and 21? (a) 13 (b) 6 (c) 12 (d) 11
  18. 18.The mean of 4 numbers is 14. When the number 19 is added to them, what is the new mean? (a) 14 (b) 17 (c) 16 (d) 15
  19. 19.What is the median of 1, 37, 4, 35, 17, 7 and 40? (a) 35 (b) 18 (c) 17 (d) 7
  20. 20.What is the mode of 4, 4, 15, 8, 4, 15 and 17? (a) 15 (b) 17 (c) 4 (d) 8
  21. 21.What is the mean of 14, 17, 12, 18 and 14? (a) 14 (b) 15 (c) 17 (d) 16
  22. 22.What is the mode of 6, 3, 16, 5, 3, 6 and 3? (a) 5 (b) 3 (c) 16 (d) 6
  23. 23.What is the mean of 4, 12, 2 and 14? (a) 7 (b) 10 (c) 8 (d) 9
  24. 24.What is the mean of 9, 14, 18, 5 and 19? (a) 15 (b) 13 (c) 14 (d) 12
  25. 25.What is the mode of 17, 15, 19, 17, 7, 17 and 19? (a) 7 (b) 19 (c) 15 (d) 17
  26. 26.What is the mode of 7, 7, 16, 8, 7, 8 and 10? (a) 10 (b) 7 (c) 8 (d) 16
  27. 27.The mean of 9 numbers is 32. When the number 52 is added to them, what is the new mean? (a) 34 (b) 35 (c) 32 (d) 42
  28. 28.What is the median of 18, 39, 6, 10 and 32? (a) 6 (b) 32 (c) 21 (d) 18
  29. 29.What is the mean of 9, 8, 4 and 19? (a) 11 (b) 10 (c) 8 (d) 9
  30. 30.What is the mean of 20, 15, 15, 14, 7 and 19? (a) 16 (b) 14 (c) 15 (d) 18
  31. 31.What is the median of 12, 24, 14, 18 and 5? (a) 15 (b) 14 (c) 18 (d) 12
  32. 32.The mean of 8 numbers is 27. When the number 18 is added to them, what is the new mean? (a) 26 (b) 27 (c) 25 (d) 28
  33. 33.What is the mode of 2, 13, 18, 2, 5, 2 and 5? (a) 13 (b) 18 (c) 2 (d) 5
  34. 34.What is the mean of 13, 17, 17 and 17? (a) 18 (b) 16 (c) 15 (d) 17
  35. 35.What is the median of 5, 37, 10, 24, 6, 35 and 13? (a) 14 (b) 10 (c) 13 (d) 24
  36. 36.What is the median of 18, 10, 1, 13, 19, 16 and 24? (a) 18 (b) 17 (c) 16 (d) 13
  37. 37.What is the mean of 15, 7, 19, 6, 2 and 5? (a) 9 (b) 8 (c) 10 (d) 11
  38. 38.What is the mean of 8, 16, 15, 13, 6 and 20? (a) 13 (b) 12 (c) 15 (d) 14
  39. 39.What is the mode of 8, 2, 4, 4, 11, 8 and 4? (a) 8 (b) 2 (c) 11 (d) 4
  40. 40.What is the mean of 4, 13, 8, 14, 7 and 8? (a) 8 (b) 11 (c) 9 (d) 10

Answer key

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

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