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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 420 · 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 mode of 10, 14, 10, 10, 14, 6 and 5? (a) 14 (b) 6 (c) 10 (d) 5
  2. 2.The mean of 7 numbers is 18. When the number 34 is added to them, what is the new mean? (a) 18 (b) 20 (c) 26 (d) 21
  3. 3.The mean of 9 numbers is 30. When the number 20 is added to them, what is the new mean? (a) 30 (b) 25 (c) 28 (d) 29
  4. 4.What is the mode of 6, 6, 5, 5, 9, 2 and 5? (a) 6 (b) 5 (c) 9 (d) 2
  5. 5.What is the median of 39, 17, 14, 37 and 8? (a) 14 (b) 23 (c) 37 (d) 17
  6. 6.What is the mean of 2, 16, 4, 2, 11 and 13? (a) 8 (b) 9 (c) 10 (d) 7
  7. 7.What is the mode of 4, 17, 6, 17, 20, 17 and 4? (a) 6 (b) 4 (c) 17 (d) 20
  8. 8.What is the mean of 9, 6, 5 and 16? (a) 8 (b) 12 (c) 9 (d) 10
  9. 9.What is the median of 1, 2, 3, 7, 6, 20 and 9? (a) 5 (b) 6 (c) 7 (d) 3
  10. 10.What is the mean of 16, 17, 11 and 16? (a) 12 (b) 20 (c) 16 (d) 15
  11. 11.What is the mode of 7, 20, 2, 7, 9, 20 and 7? (a) 20 (b) 7 (c) 9 (d) 2
  12. 12.The mean of 3 numbers is 31. When the number 35 is added to them, what is the new mean? (a) 31 (b) 34 (c) 33 (d) 32
  13. 13.The mean of 6 numbers is 28. When the number 14 is added to them, what is the new mean? (a) 27 (b) 28 (c) 26 (d) 21
  14. 14.The mean of 7 numbers is 18. When the number 50 is added to them, what is the new mean? (a) 22 (b) 34 (c) 23 (d) 18
  15. 15.What is the mean of 7, 14, 6 and 17? (a) 13 (b) 11 (c) 10 (d) 12
  16. 16.What is the median of 29, 21, 3, 38, 35, 20 and 11? (a) 21 (b) 20 (c) 29 (d) 38
  17. 17.The mean of 3 numbers is 23. When the number 35 is added to them, what is the new mean? (a) 29 (b) 27 (c) 23 (d) 26
  18. 18.What is the mean of 10, 12, 6, 4 and 8? (a) 10 (b) 9 (c) 7 (d) 8
  19. 19.What is the mode of 5, 19, 5, 19, 1, 5 and 7? (a) 19 (b) 1 (c) 7 (d) 5
  20. 20.What is the mean of 13, 11, 3, 14, 18 and 13? (a) 14 (b) 11 (c) 12 (d) 13
  21. 21.What is the mode of 18, 4, 4, 20, 4, 15 and 15? (a) 15 (b) 20 (c) 4 (d) 18
  22. 22.What is the mean of 12, 20, 17, 14 and 2? (a) 13 (b) 15 (c) 14 (d) 12
  23. 23.What is the mean of 9, 17, 18, 14 and 17? (a) 16 (b) 15 (c) 17 (d) 14
  24. 24.What is the mean of 7, 18, 15, 19, 2 and 5? (a) 11 (b) 10 (c) 12 (d) 13
  25. 25.What is the median of 8, 34, 18, 5 and 39? (a) 19 (b) 18 (c) 8 (d) 34
  26. 26.The mean of 6 numbers is 36. When the number 8 is added to them, what is the new mean? (a) 36 (b) 33 (c) 22 (d) 32
  27. 27.What is the median of 40, 1, 9, 19 and 2? (a) 19 (b) 2 (c) 9 (d) 10
  28. 28.What is the mode of 20, 17, 20, 20, 7, 4 and 7? (a) 7 (b) 4 (c) 17 (d) 20
  29. 29.What is the median of 9, 3, 36, 24 and 40? (a) 9 (b) 36 (c) 24 (d) 25
  30. 30.What is the mean of 16, 3, 19 and 14? (a) 14 (b) 12 (c) 15 (d) 13
  31. 31.What is the mean of 11, 15, 13, 5, 19 and 15? (a) 12 (b) 15 (c) 13 (d) 14
  32. 32.What is the mode of 19, 5, 19, 4, 9, 5 and 19? (a) 4 (b) 9 (c) 19 (d) 5
  33. 33.The mean of 7 numbers is 37. When the number 69 is added to them, what is the new mean? (a) 53 (b) 41 (c) 37 (d) 42
  34. 34.What is the mode of 15, 2, 2, 3, 2, 20 and 3? (a) 3 (b) 15 (c) 2 (d) 20
  35. 35.What is the mode of 8, 6, 1, 12, 1, 1 and 8? (a) 8 (b) 12 (c) 6 (d) 1
  36. 36.What is the mode of 20, 3, 17, 16, 17, 20 and 20? (a) 20 (b) 17 (c) 3 (d) 16
  37. 37.What is the mean of 2, 14, 14, 20, 9 and 7? (a) 13 (b) 11 (c) 10 (d) 12
  38. 38.What is the mean of 16, 9, 3, 3 and 4? (a) 9 (b) 7 (c) 8 (d) 6
  39. 39.What is the median of 16, 3, 33, 9, 7, 29 and 5? (a) 7 (b) 10 (c) 9 (d) 16
  40. 40.What is the mean of 4, 9, 6, 15 and 16? (a) 11 (b) 9 (c) 10 (d) 12

Answer key

  1. 10
  2. 20
  3. 29
  4. 5
  5. 17
  6. 8
  7. 17
  8. 9
  9. 6
  10. 15
  11. 7
  12. 32
  13. 26
  14. 22
  15. 11
  16. 21
  17. 26
  18. 8
  19. 5
  20. 12
  21. 4
  22. 13
  23. 15
  24. 11
  25. 18
  26. 32
  27. 9
  28. 20
  29. 24
  30. 13
  31. 13
  32. 19
  33. 41
  34. 2
  35. 1
  36. 20
  37. 11
  38. 7
  39. 9
  40. 10

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