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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 426 · 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 15, 1, 15, 8, 1, 4 and 1? (a) 8 (b) 15 (c) 4 (d) 1
  2. 2.The mean of 7 numbers is 33. When the number 17 is added to them, what is the new mean? (a) 25 (b) 31 (c) 33 (d) 32
  3. 3.The mean of 7 numbers is 21. When the number 37 is added to them, what is the new mean? (a) 24 (b) 29 (c) 21 (d) 23
  4. 4.The mean of 6 numbers is 14. When the number 35 is added to them, what is the new mean? (a) 16 (b) 14 (c) 17 (d) 18
  5. 5.What is the mode of 19, 7, 19, 7, 20, 19 and 3? (a) 7 (b) 3 (c) 20 (d) 19
  6. 6.What is the mode of 7, 9, 7, 18, 9, 9 and 1? (a) 1 (b) 9 (c) 18 (d) 7
  7. 7.The mean of 7 numbers is 36. When the number 52 is added to them, what is the new mean? (a) 38 (b) 36 (c) 44 (d) 39
  8. 8.What is the mode of 1, 12, 6, 1, 3, 6 and 1? (a) 6 (b) 3 (c) 1 (d) 12
  9. 9.What is the mode of 12, 2, 1, 12, 2, 2 and 13? (a) 2 (b) 1 (c) 12 (d) 13
  10. 10.The mean of 3 numbers is 35. When the number 51 is added to them, what is the new mean? (a) 35 (b) 39 (c) 43 (d) 40
  11. 11.What is the mode of 15, 13, 4, 15, 20, 15 and 20? (a) 13 (b) 20 (c) 15 (d) 4
  12. 12.What is the mean of 18, 2, 18 and 14? (a) 15 (b) 14 (c) 12 (d) 13
  13. 13.What is the mode of 18, 20, 4, 2, 2, 20 and 20? (a) 20 (b) 2 (c) 18 (d) 4
  14. 14.What is the mode of 7, 7, 17, 10, 18, 10 and 10? (a) 10 (b) 18 (c) 7 (d) 17
  15. 15.What is the mode of 19, 2, 19, 19, 16, 2 and 1? (a) 16 (b) 1 (c) 2 (d) 19
  16. 16.The mean of 7 numbers is 20. When the number 12 is added to them, what is the new mean? (a) 18 (b) 20 (c) 16 (d) 19
  17. 17.The mean of 5 numbers is 17. When the number 41 is added to them, what is the new mean? (a) 21 (b) 17 (c) 22 (d) 29
  18. 18.What is the mean of 4, 3, 9 and 4? (a) 5 (b) 4 (c) 7 (d) 6
  19. 19.What is the mode of 5, 10, 20, 17, 20, 5 and 5? (a) 17 (b) 5 (c) 10 (d) 20
  20. 20.What is the median of 9, 37, 5, 11, 36, 16 and 4? (a) 9 (b) 12 (c) 16 (d) 11
  21. 21.What is the median of 4, 22, 38, 39, 8, 18 and 27? (a) 39 (b) 22 (c) 18 (d) 27
  22. 22.What is the mean of 19, 7, 10, 9 and 15? (a) 10 (b) 13 (c) 12 (d) 15
  23. 23.What is the mean of 2, 8, 16, 10, 14 and 22? (a) 11 (b) 14 (c) 12 (d) 13
  24. 24.The mean of 3 numbers is 18. When the number 14 is added to them, what is the new mean? (a) 18 (b) 17 (c) 19 (d) 16
  25. 25.What is the median of 38, 36, 34, 20 and 24? (a) 36 (b) 24 (c) 34 (d) 35
  26. 26.What is the mean of 18, 17, 5 and 4? (a) 11 (b) 13 (c) 12 (d) 10
  27. 27.The mean of 6 numbers is 23. When the number 44 is added to them, what is the new mean? (a) 27 (b) 26 (c) 23 (d) 25
  28. 28.What is the mode of 10, 10, 16, 1, 2, 2 and 10? (a) 2 (b) 10 (c) 1 (d) 16
  29. 29.The mean of 9 numbers is 34. When the number 74 is added to them, what is the new mean? (a) 34 (b) 38 (c) 39 (d) 54
  30. 30.What is the mode of 1, 18, 3, 2, 3, 3 and 1? (a) 18 (b) 1 (c) 3 (d) 2
  31. 31.What is the median of 35, 17, 36, 6 and 26? (a) 36 (b) 35 (c) 26 (d) 24
  32. 32.What is the mean of 20, 17, 3, 20, 17 and 13? (a) 16 (b) 15 (c) 18 (d) 14
  33. 33.What is the mean of 15, 16, 2 and 3? (a) 12 (b) 8 (c) 9 (d) 10
  34. 34.The mean of 7 numbers is 18. When the number 26 is added to them, what is the new mean? (a) 22 (b) 19 (c) 20 (d) 18
  35. 35.What is the mean of 17, 12, 7, 4, 20 and 6? (a) 10 (b) 12 (c) 13 (d) 11
  36. 36.What is the mean of 19, 3, 6, 2 and 10? (a) 7 (b) 8 (c) 9 (d) 10
  37. 37.What is the median of 19, 5, 39, 8, 4, 26 and 14? (a) 8 (b) 19 (c) 15 (d) 14
  38. 38.What is the mean of 16, 10, 3 and 15? (a) 13 (b) 12 (c) 10 (d) 11
  39. 39.What is the mean of 12, 14, 10 and 16? (a) 14 (b) 13 (c) 12 (d) 15
  40. 40.The mean of 7 numbers is 38. When the number 54 is added to them, what is the new mean? (a) 41 (b) 46 (c) 38 (d) 40

Answer key

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

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