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Mean Median Mode Worksheet for Maths Olympiad

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

Answer key

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

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