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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 777 · 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 9, 5, 9, 5, 1, 11 and 9? (a) 5 (b) 9 (c) 1 (d) 11
  2. 2.What is the mean of 2, 4, 6, 8 and 15? (a) 8 (b) 9 (c) 7 (d) 6
  3. 3.What is the median of 3, 35, 18, 25, 1, 8 and 26? (a) 18 (b) 8 (c) 19 (d) 25
  4. 4.What is the mode of 15, 12, 13, 8, 15, 15 and 12? (a) 15 (b) 12 (c) 8 (d) 13
  5. 5.What is the mode of 6, 12, 6, 13, 13, 19 and 6? (a) 13 (b) 19 (c) 12 (d) 6
  6. 6.What is the mean of 20, 10, 5 and 9? (a) 13 (b) 12 (c) 10 (d) 11
  7. 7.What is the mode of 8, 1, 11, 11, 1, 10 and 1? (a) 8 (b) 10 (c) 1 (d) 11
  8. 8.What is the mean of 19, 14, 14, 17, 9 and 23? (a) 18 (b) 16 (c) 15 (d) 17
  9. 9.What is the median of 6, 29, 8, 5, 4, 24 and 14? (a) 8 (b) 14 (c) 5 (d) 6
  10. 10.The mean of 7 numbers is 12. When the number 44 is added to them, what is the new mean? (a) 17 (b) 16 (c) 28 (d) 12
  11. 11.What is the mean of 14, 7, 18, 8, 17 and 8? (a) 13 (b) 14 (c) 11 (d) 12
  12. 12.What is the mode of 3, 3, 1, 1, 6, 18 and 3? (a) 1 (b) 6 (c) 3 (d) 18
  13. 13.What is the mean of 19, 12, 6, 2, 19 and 8? (a) 12 (b) 13 (c) 10 (d) 11
  14. 14.What is the mean of 14, 16, 2 and 8? (a) 10 (b) 8 (c) 11 (d) 9
  15. 15.What is the mode of 6, 16, 13, 12, 16, 16 and 6? (a) 12 (b) 16 (c) 13 (d) 6
  16. 16.The mean of 7 numbers is 37. When the number 29 is added to them, what is the new mean? (a) 35 (b) 33 (c) 36 (d) 37
  17. 17.What is the mean of 10, 12, 20 and 14? (a) 14 (b) 13 (c) 16 (d) 15
  18. 18.What is the mode of 2, 2, 18, 15, 19, 19 and 19? (a) 18 (b) 15 (c) 2 (d) 19
  19. 19.What is the mode of 4, 4, 20, 1, 4, 1 and 3? (a) 20 (b) 4 (c) 3 (d) 1
  20. 20.The mean of 4 numbers is 39. When the number 59 is added to them, what is the new mean? (a) 49 (b) 39 (c) 43 (d) 44
  21. 21.What is the mean of 7, 2, 4 and 19? (a) 9 (b) 10 (c) 8 (d) 7
  22. 22.What is the median of 28, 22, 38, 9 and 35? (a) 35 (b) 22 (c) 38 (d) 28
  23. 23.The mean of 4 numbers is 13. When the number 28 is added to them, what is the new mean? (a) 16 (b) 17 (c) 15 (d) 13
  24. 24.The mean of 7 numbers is 11. When the number 27 is added to them, what is the new mean? (a) 14 (b) 11 (c) 19 (d) 13
  25. 25.What is the mean of 18, 12, 3, 13 and 4? (a) 9 (b) 12 (c) 11 (d) 10
  26. 26.The mean of 4 numbers is 23. When the number 8 is added to them, what is the new mean? (a) 23 (b) 21 (c) 20 (d) 19
  27. 27.What is the mean of 10, 20, 3 and 19? (a) 15 (b) 12 (c) 14 (d) 13
  28. 28.The mean of 4 numbers is 21. When the number 11 is added to them, what is the new mean? (a) 20 (b) 16 (c) 21 (d) 19
  29. 29.What is the mode of 1, 11, 5, 11, 8, 11 and 5? (a) 1 (b) 11 (c) 8 (d) 5
  30. 30.What is the median of 11, 5, 4, 15 and 40? (a) 4 (b) 5 (c) 15 (d) 11
  31. 31.The mean of 6 numbers is 34. When the number 48 is added to them, what is the new mean? (a) 36 (b) 34 (c) 41 (d) 37
  32. 32.What is the mean of 19, 16, 10, 8, 15 and 16? (a) 14 (b) 12 (c) 15 (d) 13
  33. 33.What is the mean of 18, 8, 13 and 9? (a) 11 (b) 12 (c) 16 (d) 13
  34. 34.What is the median of 5, 27, 20, 21 and 4? (a) 5 (b) 21 (c) 19 (d) 20
  35. 35.What is the mode of 15, 15, 2, 15, 5, 2 and 17? (a) 2 (b) 17 (c) 5 (d) 15
  36. 36.What is the mean of 18, 14, 2, 14 and 12? (a) 13 (b) 12 (c) 10 (d) 15
  37. 37.What is the median of 9, 38, 22, 23, 31, 32 and 16? (a) 31 (b) 24 (c) 23 (d) 22
  38. 38.What is the mode of 5, 16, 5, 7, 7, 7 and 18? (a) 5 (b) 7 (c) 18 (d) 16
  39. 39.The mean of 9 numbers is 25. When the number 65 is added to them, what is the new mean? (a) 30 (b) 45 (c) 25 (d) 29
  40. 40.What is the mode of 14, 14, 15, 15, 10, 2 and 14? (a) 10 (b) 2 (c) 14 (d) 15

Answer key

  1. 9
  2. 7
  3. 18
  4. 15
  5. 6
  6. 11
  7. 1
  8. 16
  9. 8
  10. 16
  11. 12
  12. 3
  13. 11
  14. 10
  15. 16
  16. 36
  17. 14
  18. 19
  19. 4
  20. 43
  21. 8
  22. 28
  23. 16
  24. 13
  25. 10
  26. 20
  27. 13
  28. 19
  29. 11
  30. 11
  31. 36
  32. 14
  33. 12
  34. 20
  35. 15
  36. 12
  37. 23
  38. 7
  39. 29
  40. 14

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