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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 279 · 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 9, 3, 30, 19 and 25? (a) 19 (b) 9 (c) 25 (d) 30
  2. 2.What is the mode of 17, 9, 17, 4, 17, 13 and 4? (a) 13 (b) 4 (c) 9 (d) 17
  3. 3.The mean of 3 numbers is 10. When the number 26 is added to them, what is the new mean? (a) 14 (b) 10 (c) 18 (d) 15
  4. 4.What is the mode of 3, 9, 14, 7, 7, 7 and 14? (a) 7 (b) 14 (c) 9 (d) 3
  5. 5.What is the mode of 11, 11, 10, 16, 10, 11 and 15? (a) 16 (b) 15 (c) 10 (d) 11
  6. 6.What is the mode of 20, 17, 20, 9, 9, 20 and 16? (a) 20 (b) 9 (c) 16 (d) 17
  7. 7.What is the mean of 10, 18, 2, 6 and 9? (a) 11 (b) 8 (c) 9 (d) 10
  8. 8.The mean of 3 numbers is 35. When the number 31 is added to them, what is the new mean? (a) 33 (b) 34 (c) 36 (d) 35
  9. 9.What is the median of 22, 11, 3, 15, 28, 29 and 7? (a) 22 (b) 11 (c) 15 (d) 16
  10. 10.What is the mode of 2, 11, 10, 19, 19, 11 and 11? (a) 19 (b) 11 (c) 2 (d) 10
  11. 11.What is the median of 3, 7, 5, 32, 9, 25 and 20? (a) 20 (b) 9 (c) 7 (d) 32
  12. 12.The mean of 7 numbers is 17. When the number 41 is added to them, what is the new mean? (a) 21 (b) 17 (c) 20 (d) 29
  13. 13.What is the mode of 16, 8, 5, 4, 8, 8 and 16? (a) 8 (b) 5 (c) 4 (d) 16
  14. 14.What is the median of 5, 10, 26, 4 and 40? (a) 17 (b) 5 (c) 26 (d) 10
  15. 15.The mean of 7 numbers is 27. When the number 51 is added to them, what is the new mean? (a) 30 (b) 39 (c) 27 (d) 31
  16. 16.What is the mean of 16, 15, 7, 2, 3 and 23? (a) 12 (b) 10 (c) 11 (d) 13
  17. 17.What is the mode of 3, 8, 18, 8, 15, 3 and 3? (a) 3 (b) 18 (c) 15 (d) 8
  18. 18.What is the mean of 5, 2, 7, 17, 16 and 19? (a) 13 (b) 12 (c) 11 (d) 10
  19. 19.The mean of 7 numbers is 28. When the number 12 is added to them, what is the new mean? (a) 27 (b) 20 (c) 28 (d) 26
  20. 20.What is the mode of 2, 10, 2, 5, 1, 5 and 2? (a) 5 (b) 2 (c) 1 (d) 10
  21. 21.The mean of 9 numbers is 23. When the number 3 is added to them, what is the new mean? (a) 22 (b) 13 (c) 21 (d) 23
  22. 22.What is the median of 34, 14, 5, 21, 22, 37 and 16? (a) 21 (b) 22 (c) 20 (d) 16
  23. 23.What is the mean of 7, 19, 5 and 13? (a) 12 (b) 11 (c) 10 (d) 13
  24. 24.What is the mean of 20, 12, 14 and 14? (a) 20 (b) 12 (c) 16 (d) 15
  25. 25.What is the mode of 20, 19, 16, 20, 16, 6 and 20? (a) 16 (b) 6 (c) 19 (d) 20
  26. 26.What is the mode of 4, 19, 4, 5, 4, 1 and 1? (a) 4 (b) 19 (c) 1 (d) 5
  27. 27.What is the median of 23, 16, 21, 40, 17, 38 and 3? (a) 21 (b) 23 (c) 40 (d) 17
  28. 28.The mean of 3 numbers is 30. When the number 26 is added to them, what is the new mean? (a) 30 (b) 28 (c) 29 (d) 31
  29. 29.What is the median of 29, 8, 10, 33 and 11? (a) 29 (b) 11 (c) 10 (d) 12
  30. 30.What is the mode of 17, 7, 12, 1, 12, 17 and 17? (a) 7 (b) 12 (c) 17 (d) 1
  31. 31.What is the mode of 13, 20, 13, 8, 8, 13 and 6? (a) 8 (b) 20 (c) 6 (d) 13
  32. 32.What is the mode of 20, 7, 11, 5, 7, 7 and 11? (a) 5 (b) 7 (c) 20 (d) 11
  33. 33.What is the mean of 2, 15, 12, 7 and 14? (a) 9 (b) 12 (c) 11 (d) 10
  34. 34.The mean of 6 numbers is 27. When the number 55 is added to them, what is the new mean? (a) 41 (b) 31 (c) 27 (d) 32
  35. 35.What is the mean of 8, 5, 15 and 8? (a) 12 (b) 8 (c) 10 (d) 9
  36. 36.What is the mode of 16, 7, 7, 19, 7, 5 and 5? (a) 5 (b) 19 (c) 16 (d) 7
  37. 37.What is the mode of 12, 5, 13, 13, 12, 13 and 8? (a) 5 (b) 12 (c) 13 (d) 8
  38. 38.The mean of 6 numbers is 19. When the number 12 is added to them, what is the new mean? (a) 19 (b) 17 (c) 20 (d) 18
  39. 39.The mean of 4 numbers is 11. When the number 16 is added to them, what is the new mean? (a) 11 (b) 14 (c) 12 (d) 13
  40. 40.What is the mean of 5, 15, 3 and 17? (a) 9 (b) 10 (c) 11 (d) 8

Answer key

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

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