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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 689 · 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 5 numbers is 13. When the number 1 is added to them, what is the new mean? (a) 13 (b) 7 (c) 11 (d) 12
  2. 2.What is the mode of 5, 8, 7, 18, 7, 7 and 5? (a) 18 (b) 7 (c) 5 (d) 8
  3. 3.What is the mode of 18, 6, 18, 6, 1, 6 and 2? (a) 18 (b) 1 (c) 2 (d) 6
  4. 4.The mean of 8 numbers is 37. When the number 10 is added to them, what is the new mean? (a) 34 (b) 33 (c) 35 (d) 37
  5. 5.The mean of 9 numbers is 34. When the number 54 is added to them, what is the new mean? (a) 44 (b) 34 (c) 37 (d) 36
  6. 6.What is the mean of 19, 7, 16, 10, 12 and 8? (a) 14 (b) 12 (c) 13 (d) 11
  7. 7.What is the median of 22, 25, 1, 35 and 8? (a) 8 (b) 22 (c) 1 (d) 25
  8. 8.What is the median of 4, 32, 22, 9 and 21? (a) 22 (b) 20 (c) 9 (d) 21
  9. 9.What is the median of 33, 22, 20, 13 and 3? (a) 13 (b) 22 (c) 20 (d) 21
  10. 10.The mean of 4 numbers is 10. When the number 5 is added to them, what is the new mean? (a) 10 (b) 8 (c) 9 (d) 11
  11. 11.What is the mode of 3, 10, 20, 12, 3, 12 and 3? (a) 12 (b) 3 (c) 20 (d) 10
  12. 12.What is the mode of 15, 10, 4, 4, 15, 2 and 15? (a) 4 (b) 2 (c) 10 (d) 15
  13. 13.What is the mean of 7, 18, 14, 17 and 19? (a) 14 (b) 17 (c) 16 (d) 15
  14. 14.The mean of 3 numbers is 23. When the number 15 is added to them, what is the new mean? (a) 22 (b) 19 (c) 21 (d) 23
  15. 15.What is the mode of 12, 12, 2, 18, 2, 13 and 2? (a) 13 (b) 12 (c) 2 (d) 18
  16. 16.What is the mean of 5, 15, 6, 13 and 6? (a) 8 (b) 9 (c) 10 (d) 11
  17. 17.The mean of 5 numbers is 31. When the number 43 is added to them, what is the new mean? (a) 37 (b) 34 (c) 33 (d) 31
  18. 18.What is the mode of 13, 1, 13, 4, 4, 8 and 4? (a) 13 (b) 8 (c) 1 (d) 4
  19. 19.What is the mean of 17, 14, 20, 8, 4 and 3? (a) 10 (b) 11 (c) 12 (d) 13
  20. 20.What is the mode of 2, 2, 8, 17, 4, 8 and 2? (a) 4 (b) 17 (c) 2 (d) 8
  21. 21.What is the median of 33, 30, 3, 36, 32, 31 and 40? (a) 32 (b) 33 (c) 36 (d) 31
  22. 22.What is the mode of 8, 19, 19, 7, 14, 8 and 19? (a) 7 (b) 19 (c) 14 (d) 8
  23. 23.What is the mean of 6, 6, 11, 14 and 3? (a) 9 (b) 8 (c) 7 (d) 10
  24. 24.What is the mean of 18, 16, 14, 9 and 13? (a) 13 (b) 16 (c) 15 (d) 14
  25. 25.What is the mean of 18, 3, 5 and 14? (a) 10 (b) 11 (c) 8 (d) 9
  26. 26.What is the median of 7, 22, 17, 34, 39, 25 and 20? (a) 22 (b) 34 (c) 25 (d) 20
  27. 27.The mean of 5 numbers is 18. When the number 6 is added to them, what is the new mean? (a) 17 (b) 18 (c) 12 (d) 16
  28. 28.What is the mode of 14, 4, 4, 20, 16, 20 and 4? (a) 16 (b) 4 (c) 20 (d) 14
  29. 29.What is the mode of 8, 4, 8, 3, 9, 8 and 4? (a) 9 (b) 3 (c) 4 (d) 8
  30. 30.What is the median of 23, 38, 39, 3, 21, 5 and 18? (a) 21 (b) 23 (c) 18 (d) 3
  31. 31.What is the mode of 18, 15, 16, 20, 20, 15 and 15? (a) 18 (b) 20 (c) 15 (d) 16
  32. 32.The mean of 5 numbers is 28. When the number 22 is added to them, what is the new mean? (a) 25 (b) 28 (c) 26 (d) 27
  33. 33.What is the median of 29, 19, 13, 11 and 27? (a) 13 (b) 20 (c) 27 (d) 19
  34. 34.What is the median of 21, 11, 36, 32 and 24? (a) 24 (b) 36 (c) 32 (d) 21
  35. 35.What is the mean of 18, 16, 12, 17 and 22? (a) 18 (b) 16 (c) 19 (d) 17
  36. 36.What is the median of 24, 7, 10, 5, 37, 1 and 9? (a) 10 (b) 7 (c) 9 (d) 5
  37. 37.The mean of 6 numbers is 33. When the number 54 is added to them, what is the new mean? (a) 36 (b) 35 (c) 33 (d) 37
  38. 38.The mean of 4 numbers is 25. When the number 35 is added to them, what is the new mean? (a) 28 (b) 25 (c) 27 (d) 30
  39. 39.What is the mode of 1, 1, 7, 16, 18, 7 and 7? (a) 18 (b) 1 (c) 16 (d) 7
  40. 40.What is the mean of 14, 3, 2, 2 and 19? (a) 8 (b) 9 (c) 7 (d) 10

Answer key

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

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