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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 693 · 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 7 numbers is 30. When the number 6 is added to them, what is the new mean? (a) 27 (b) 28 (c) 18 (d) 30
  2. 2.What is the mean of 5, 13, 2, 16 and 19? (a) 13 (b) 10 (c) 11 (d) 12
  3. 3.What is the median of 26, 25, 14, 19 and 37? (a) 25 (b) 14 (c) 26 (d) 19
  4. 4.What is the median of 14, 34, 26, 40 and 23? (a) 34 (b) 23 (c) 26 (d) 27
  5. 5.What is the mode of 2, 20, 2, 17, 20, 20 and 8? (a) 17 (b) 2 (c) 20 (d) 8
  6. 6.The mean of 6 numbers is 31. When the number 17 is added to them, what is the new mean? (a) 31 (b) 24 (c) 30 (d) 29
  7. 7.What is the mean of 16, 4, 17 and 15? (a) 15 (b) 13 (c) 12 (d) 14
  8. 8.What is the mode of 4, 2, 7, 2, 1, 2 and 4? (a) 4 (b) 7 (c) 2 (d) 1
  9. 9.What is the mode of 8, 4, 8, 13, 4, 8 and 14? (a) 8 (b) 4 (c) 13 (d) 14
  10. 10.What is the mean of 18, 11, 6, 16 and 9? (a) 15 (b) 10 (c) 12 (d) 13
  11. 11.What is the mean of 4, 14, 14, 17, 20 and 15? (a) 14 (b) 15 (c) 13 (d) 12
  12. 12.What is the median of 11, 19, 15, 22, 32, 30 and 23? (a) 19 (b) 21 (c) 23 (d) 22
  13. 13.What is the mean of 5, 11, 17 and 11? (a) 11 (b) 12 (c) 10 (d) 13
  14. 14.What is the mode of 14, 1, 12, 12, 14, 12 and 17? (a) 17 (b) 1 (c) 14 (d) 12
  15. 15.What is the mean of 8, 10, 18 and 20? (a) 14 (b) 16 (c) 13 (d) 15
  16. 16.What is the mode of 11, 16, 14, 16, 16, 6 and 11? (a) 6 (b) 16 (c) 14 (d) 11
  17. 17.What is the mean of 2, 5, 10, 15, 17 and 17? (a) 12 (b) 10 (c) 13 (d) 11
  18. 18.The mean of 6 numbers is 37. When the number 9 is added to them, what is the new mean? (a) 33 (b) 23 (c) 37 (d) 34
  19. 19.What is the median of 8, 26, 12, 39 and 35? (a) 24 (b) 26 (c) 35 (d) 12
  20. 20.The mean of 4 numbers is 19. When the number 34 is added to them, what is the new mean? (a) 21 (b) 22 (c) 19 (d) 23
  21. 21.What is the mean of 12, 9, 8, 19, 11 and 7? (a) 12 (b) 10 (c) 13 (d) 11
  22. 22.What is the mean of 11, 17, 16, 20, 10 and 10? (a) 12 (b) 15 (c) 13 (d) 14
  23. 23.The mean of 4 numbers is 21. When the number 26 is added to them, what is the new mean? (a) 22 (b) 23 (c) 21 (d) 24
  24. 24.What is the mode of 8, 1, 5, 19, 1, 1 and 8? (a) 1 (b) 5 (c) 19 (d) 8
  25. 25.What is the mode of 17, 2, 4, 4, 2, 4 and 19? (a) 2 (b) 17 (c) 19 (d) 4
  26. 26.What is the mode of 10, 10, 7, 6, 2, 7 and 10? (a) 6 (b) 2 (c) 10 (d) 7
  27. 27.The mean of 6 numbers is 13. When the number 27 is added to them, what is the new mean? (a) 20 (b) 13 (c) 16 (d) 15
  28. 28.What is the mean of 5, 17, 10 and 20? (a) 12 (b) 13 (c) 14 (d) 15
  29. 29.What is the mode of 11, 4, 4, 15, 4, 12 and 15? (a) 4 (b) 12 (c) 11 (d) 15
  30. 30.What is the median of 5, 8, 1, 29, 11, 40 and 37? (a) 11 (b) 12 (c) 8 (d) 29
  31. 31.The mean of 6 numbers is 24. When the number 10 is added to them, what is the new mean? (a) 23 (b) 17 (c) 22 (d) 24
  32. 32.What is the mode of 13, 16, 13, 11, 6, 11 and 13? (a) 6 (b) 11 (c) 16 (d) 13
  33. 33.What is the mean of 16, 20, 11, 20, 18 and 5? (a) 18 (b) 15 (c) 14 (d) 16
  34. 34.What is the mode of 15, 3, 3, 2, 18, 15 and 3? (a) 15 (b) 3 (c) 2 (d) 18
  35. 35.The mean of 7 numbers is 38. When the number 6 is added to them, what is the new mean? (a) 34 (b) 22 (c) 35 (d) 38
  36. 36.The mean of 7 numbers is 25. When the number 17 is added to them, what is the new mean? (a) 24 (b) 23 (c) 21 (d) 25
  37. 37.The mean of 5 numbers is 36. When the number 12 is added to them, what is the new mean? (a) 33 (b) 24 (c) 32 (d) 36
  38. 38.What is the mean of 4, 10, 7, 11, 8 and 20? (a) 12 (b) 11 (c) 9 (d) 10
  39. 39.What is the mode of 5, 12, 12, 5, 10, 12 and 3? (a) 3 (b) 10 (c) 12 (d) 5
  40. 40.What is the mode of 11, 2, 19, 6, 19, 6 and 19? (a) 19 (b) 11 (c) 6 (d) 2

Answer key

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

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