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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 132 · 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 4, 10, 13, 13, 5, 13 and 5? (a) 4 (b) 5 (c) 13 (d) 10
  2. 2.The mean of 5 numbers is 31. When the number 37 is added to them, what is the new mean? (a) 34 (b) 32 (c) 33 (d) 31
  3. 3.What is the median of 37, 22, 17, 23, 38, 14 and 5? (a) 17 (b) 23 (c) 22 (d) 21
  4. 4.What is the mode of 20, 17, 13, 4, 13, 13 and 17? (a) 20 (b) 17 (c) 13 (d) 4
  5. 5.What is the mean of 19, 4, 12, 15, 5 and 11? (a) 10 (b) 13 (c) 12 (d) 11
  6. 6.What is the median of 25, 20, 29, 30 and 18? (a) 29 (b) 25 (c) 26 (d) 20
  7. 7.The mean of 4 numbers is 28. When the number 38 is added to them, what is the new mean? (a) 30 (b) 31 (c) 33 (d) 28
  8. 8.What is the mean of 5, 7, 20, 14 and 14? (a) 13 (b) 12 (c) 10 (d) 15
  9. 9.The mean of 4 numbers is 30. When the number 25 is added to them, what is the new mean? (a) 29 (b) 28 (c) 31 (d) 30
  10. 10.The mean of 4 numbers is 29. When the number 9 is added to them, what is the new mean? (a) 26 (b) 29 (c) 19 (d) 25
  11. 11.What is the mean of 4, 18, 6, 7 and 10? (a) 9 (b) 8 (c) 10 (d) 11
  12. 12.The mean of 4 numbers is 22. When the number 12 is added to them, what is the new mean? (a) 22 (b) 20 (c) 21 (d) 17
  13. 13.What is the median of 12, 13, 14, 5 and 36? (a) 12 (b) 13 (c) 16 (d) 14
  14. 14.What is the median of 37, 22, 21, 5, 35, 2 and 10? (a) 10 (b) 22 (c) 21 (d) 5
  15. 15.What is the mode of 5, 9, 5, 3, 5, 1 and 9? (a) 1 (b) 5 (c) 3 (d) 9
  16. 16.What is the mode of 12, 12, 2, 12, 15, 2 and 7? (a) 15 (b) 2 (c) 12 (d) 7
  17. 17.What is the median of 33, 8, 9, 7 and 13? (a) 14 (b) 13 (c) 8 (d) 9
  18. 18.What is the mode of 7, 7, 13, 3, 7, 18 and 3? (a) 7 (b) 13 (c) 3 (d) 18
  19. 19.What is the mode of 13, 8, 8, 2, 13, 11 and 13? (a) 2 (b) 11 (c) 8 (d) 13
  20. 20.What is the median of 2, 37, 26, 8 and 33? (a) 27 (b) 26 (c) 33 (d) 8
  21. 21.The mean of 3 numbers is 14. When the number 10 is added to them, what is the new mean? (a) 12 (b) 13 (c) 15 (d) 14
  22. 22.The mean of 6 numbers is 31. When the number 17 is added to them, what is the new mean? (a) 24 (b) 31 (c) 30 (d) 29
  23. 23.What is the median of 17, 36, 29, 28, 34, 26 and 12? (a) 29 (b) 26 (c) 27 (d) 28
  24. 24.What is the mean of 7, 6, 15 and 16? (a) 11 (b) 13 (c) 12 (d) 10
  25. 25.What is the mean of 15, 18, 6, 14 and 17? (a) 15 (b) 14 (c) 16 (d) 13
  26. 26.The mean of 5 numbers is 27. When the number 39 is added to them, what is the new mean? (a) 27 (b) 30 (c) 33 (d) 29
  27. 27.What is the mode of 17, 6, 8, 8, 18, 18 and 18? (a) 18 (b) 8 (c) 6 (d) 17
  28. 28.What is the mode of 15, 1, 13, 15, 15, 13 and 2? (a) 1 (b) 13 (c) 15 (d) 2
  29. 29.What is the mode of 8, 7, 19, 4, 7, 7 and 8? (a) 7 (b) 8 (c) 4 (d) 19
  30. 30.What is the median of 40, 36, 5, 2, 26, 29 and 17? (a) 17 (b) 2 (c) 29 (d) 26
  31. 31.The mean of 7 numbers is 17. When the number 9 is added to them, what is the new mean? (a) 15 (b) 17 (c) 16 (d) 13
  32. 32.What is the mean of 17, 5, 2, 10 and 6? (a) 10 (b) 7 (c) 9 (d) 8
  33. 33.The mean of 5 numbers is 28. When the number 4 is added to them, what is the new mean? (a) 28 (b) 25 (c) 24 (d) 16
  34. 34.What is the mode of 1, 7, 7, 1, 18, 6 and 7? (a) 1 (b) 18 (c) 7 (d) 6
  35. 35.What is the mode of 10, 10, 20, 4, 19, 4 and 4? (a) 19 (b) 10 (c) 20 (d) 4
  36. 36.The mean of 9 numbers is 24. When the number 54 is added to them, what is the new mean? (a) 39 (b) 24 (c) 27 (d) 28
  37. 37.What is the mean of 3, 13, 8 and 8? (a) 7 (b) 9 (c) 10 (d) 8
  38. 38.What is the median of 8, 22, 25, 24, 30, 12 and 38? (a) 22 (b) 23 (c) 25 (d) 24
  39. 39.The mean of 5 numbers is 35. When the number 53 is added to them, what is the new mean? (a) 44 (b) 35 (c) 39 (d) 38
  40. 40.What is the mean of 15, 7, 16, 5 and 7? (a) 11 (b) 10 (c) 9 (d) 12

Answer key

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

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