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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 260 · 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 14. When the number 6 is added to them, what is the new mean? (a) 12 (b) 14 (c) 10 (d) 13
  2. 2.What is the median of 37, 6, 39, 31 and 35? (a) 39 (b) 35 (c) 31 (d) 37
  3. 3.What is the mode of 16, 16, 16, 12, 5, 8 and 8? (a) 8 (b) 16 (c) 5 (d) 12
  4. 4.What is the mode of 8, 4, 4, 8, 15, 13 and 4? (a) 15 (b) 8 (c) 13 (d) 4
  5. 5.The mean of 4 numbers is 26. When the number 31 is added to them, what is the new mean? (a) 28 (b) 29 (c) 26 (d) 27
  6. 6.What is the median of 14, 25, 29, 9, 3, 12 and 38? (a) 9 (b) 25 (c) 14 (d) 12
  7. 7.The mean of 9 numbers is 34. When the number 64 is added to them, what is the new mean? (a) 49 (b) 37 (c) 34 (d) 38
  8. 8.The mean of 5 numbers is 12. When the number 30 is added to them, what is the new mean? (a) 16 (b) 15 (c) 21 (d) 12
  9. 9.What is the mode of 6, 12, 12, 6, 19, 6 and 2? (a) 2 (b) 12 (c) 19 (d) 6
  10. 10.The mean of 8 numbers is 38. When the number 29 is added to them, what is the new mean? (a) 36 (b) 39 (c) 38 (d) 37
  11. 11.The mean of 7 numbers is 33. When the number 9 is added to them, what is the new mean? (a) 33 (b) 30 (c) 31 (d) 21
  12. 12.What is the mode of 19, 9, 12, 16, 12, 16 and 16? (a) 9 (b) 19 (c) 16 (d) 12
  13. 13.What is the mode of 10, 4, 13, 13, 13, 9 and 9? (a) 10 (b) 9 (c) 4 (d) 13
  14. 14.What is the mode of 16, 9, 9, 5, 16, 16 and 14? (a) 5 (b) 14 (c) 9 (d) 16
  15. 15.What is the mean of 14, 5, 8, 14 and 9? (a) 9 (b) 11 (c) 10 (d) 12
  16. 16.What is the median of 17, 38, 26, 20 and 18? (a) 26 (b) 18 (c) 21 (d) 20
  17. 17.What is the mode of 7, 11, 11, 19, 15, 15 and 15? (a) 11 (b) 19 (c) 7 (d) 15
  18. 18.What is the mean of 15, 3, 3, 10 and 19? (a) 12 (b) 9 (c) 11 (d) 10
  19. 19.What is the mode of 10, 2, 4, 10, 10, 2 and 14? (a) 10 (b) 2 (c) 14 (d) 4
  20. 20.What is the median of 22, 36, 25, 15 and 3? (a) 15 (b) 23 (c) 25 (d) 22
  21. 21.What is the median of 7, 30, 12, 11 and 39? (a) 13 (b) 11 (c) 12 (d) 30
  22. 22.What is the median of 19, 34, 5, 32 and 39? (a) 5 (b) 34 (c) 32 (d) 19
  23. 23.What is the median of 32, 31, 21, 11 and 14? (a) 22 (b) 31 (c) 21 (d) 14
  24. 24.The mean of 3 numbers is 31. When the number 35 is added to them, what is the new mean? (a) 34 (b) 31 (c) 33 (d) 32
  25. 25.What is the mean of 4, 7, 16 and 5? (a) 8 (b) 7 (c) 10 (d) 9
  26. 26.What is the median of 9, 11, 26, 3 and 10? (a) 11 (b) 10 (c) 9 (d) 26
  27. 27.What is the mode of 4, 13, 2, 2, 13, 2 and 8? (a) 8 (b) 13 (c) 4 (d) 2
  28. 28.The mean of 5 numbers is 16. When the number 28 is added to them, what is the new mean? (a) 16 (b) 22 (c) 19 (d) 18
  29. 29.What is the mode of 19, 7, 5, 7, 12, 19 and 19? (a) 19 (b) 12 (c) 5 (d) 7
  30. 30.The mean of 9 numbers is 40. When the number 30 is added to them, what is the new mean? (a) 40 (b) 39 (c) 38 (d) 35
  31. 31.The mean of 3 numbers is 30. When the number 22 is added to them, what is the new mean? (a) 26 (b) 28 (c) 30 (d) 29
  32. 32.What is the median of 26, 14, 6, 2 and 9? (a) 6 (b) 9 (c) 10 (d) 14
  33. 33.What is the mode of 15, 15, 15, 5, 12, 19 and 12? (a) 19 (b) 15 (c) 5 (d) 12
  34. 34.What is the median of 38, 17, 7, 8, 4, 14 and 30? (a) 14 (b) 17 (c) 15 (d) 8
  35. 35.What is the mean of 15, 12, 4, 12, 10 and 19? (a) 14 (b) 13 (c) 11 (d) 12
  36. 36.What is the median of 3, 25, 31, 38, 18, 36 and 39? (a) 36 (b) 38 (c) 31 (d) 25
  37. 37.The mean of 5 numbers is 37. When the number 19 is added to them, what is the new mean? (a) 34 (b) 37 (c) 35 (d) 28
  38. 38.What is the mode of 13, 20, 4, 1, 4, 20 and 4? (a) 4 (b) 1 (c) 13 (d) 20
  39. 39.What is the median of 14, 37, 16, 8, 9, 40 and 35? (a) 14 (b) 35 (c) 16 (d) 8
  40. 40.What is the mean of 11, 12, 11, 5 and 6? (a) 10 (b) 9 (c) 8 (d) 11

Answer key

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

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