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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 313 · 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 mean of 8, 18, 10 and 16? (a) 14 (b) 12 (c) 15 (d) 13
  2. 2.The mean of 6 numbers is 40. When the number 68 is added to them, what is the new mean? (a) 44 (b) 40 (c) 54 (d) 45
  3. 3.What is the mean of 7, 13, 6, 8 and 11? (a) 9 (b) 8 (c) 10 (d) 11
  4. 4.The mean of 7 numbers is 34. When the number 10 is added to them, what is the new mean? (a) 32 (b) 22 (c) 31 (d) 34
  5. 5.What is the mean of 2, 19, 6, 5, 18 and 10? (a) 12 (b) 11 (c) 9 (d) 10
  6. 6.What is the mean of 12, 13, 14, 7 and 14? (a) 10 (b) 12 (c) 13 (d) 15
  7. 7.What is the mean of 19, 10, 9 and 2? (a) 9 (b) 8 (c) 10 (d) 11
  8. 8.The mean of 8 numbers is 16. When the number 52 is added to them, what is the new mean? (a) 21 (b) 20 (c) 34 (d) 16
  9. 9.The mean of 6 numbers is 34. When the number 13 is added to them, what is the new mean? (a) 31 (b) 30 (c) 34 (d) 32
  10. 10.What is the mode of 5, 6, 5, 19, 19, 19 and 17? (a) 6 (b) 17 (c) 19 (d) 5
  11. 11.What is the mean of 8, 5, 13, 17, 19 and 10? (a) 13 (b) 11 (c) 14 (d) 12
  12. 12.What is the mode of 5, 15, 6, 18, 18, 18 and 5? (a) 18 (b) 15 (c) 5 (d) 6
  13. 13.What is the median of 5, 9, 38, 40, 8, 14 and 39? (a) 40 (b) 9 (c) 38 (d) 14
  14. 14.What is the mean of 15, 4, 18, 19 and 14? (a) 15 (b) 16 (c) 13 (d) 14
  15. 15.What is the median of 30, 17, 22, 32 and 10? (a) 17 (b) 23 (c) 22 (d) 30
  16. 16.What is the mean of 13, 17, 8 and 18? (a) 15 (b) 16 (c) 13 (d) 14
  17. 17.What is the mean of 3, 11, 20 and 6? (a) 9 (b) 8 (c) 10 (d) 11
  18. 18.What is the median of 29, 16, 23, 10 and 4? (a) 16 (b) 23 (c) 17 (d) 10
  19. 19.What is the median of 28, 26, 35, 6 and 15? (a) 28 (b) 22 (c) 35 (d) 26
  20. 20.What is the mean of 17, 8, 13 and 14? (a) 13 (b) 15 (c) 14 (d) 12
  21. 21.The mean of 4 numbers is 18. When the number 23 is added to them, what is the new mean? (a) 19 (b) 20 (c) 18 (d) 21
  22. 22.What is the mode of 3, 3, 19, 3, 20, 8 and 19? (a) 19 (b) 3 (c) 20 (d) 8
  23. 23.What is the median of 22, 40, 25, 32 and 9? (a) 22 (b) 26 (c) 25 (d) 32
  24. 24.What is the mode of 9, 4, 13, 1, 9, 9 and 4? (a) 1 (b) 9 (c) 13 (d) 4
  25. 25.What is the mean of 5, 15, 18 and 2? (a) 9 (b) 8 (c) 11 (d) 10
  26. 26.What is the median of 29, 18, 34, 16, 3, 35 and 33? (a) 16 (b) 29 (c) 33 (d) 24
  27. 27.What is the mode of 6, 13, 6, 1, 1, 6 and 17? (a) 13 (b) 1 (c) 6 (d) 17
  28. 28.The mean of 5 numbers is 20. When the number 38 is added to them, what is the new mean? (a) 24 (b) 23 (c) 20 (d) 29
  29. 29.What is the median of 7, 14, 33, 3 and 37? (a) 7 (b) 14 (c) 15 (d) 33
  30. 30.What is the mode of 16, 16, 11, 3, 16, 3 and 17? (a) 16 (b) 3 (c) 11 (d) 17
  31. 31.What is the mode of 5, 4, 14, 4, 15, 14 and 14? (a) 14 (b) 5 (c) 15 (d) 4
  32. 32.The mean of 5 numbers is 26. When the number 8 is added to them, what is the new mean? (a) 24 (b) 26 (c) 23 (d) 17
  33. 33.What is the mean of 7, 12, 8, 2, 10 and 9? (a) 10 (b) 8 (c) 9 (d) 7
  34. 34.The mean of 6 numbers is 31. When the number 17 is added to them, what is the new mean? (a) 30 (b) 29 (c) 24 (d) 31
  35. 35.What is the mean of 20, 17, 6 and 5? (a) 16 (b) 13 (c) 12 (d) 11
  36. 36.What is the mean of 3, 3, 11, 19 and 14? (a) 12 (b) 11 (c) 10 (d) 9
  37. 37.What is the median of 1, 38, 10, 20, 34, 29 and 3? (a) 29 (b) 10 (c) 21 (d) 20
  38. 38.What is the mean of 9, 11, 5, 10 and 5? (a) 9 (b) 8 (c) 7 (d) 10
  39. 39.What is the median of 19, 10, 39, 35 and 11? (a) 19 (b) 35 (c) 11 (d) 39
  40. 40.What is the mode of 5, 7, 7, 10, 7, 17 and 10? (a) 17 (b) 10 (c) 7 (d) 5

Answer key

  1. 13
  2. 44
  3. 9
  4. 31
  5. 10
  6. 12
  7. 10
  8. 20
  9. 31
  10. 19
  11. 12
  12. 18
  13. 14
  14. 14
  15. 22
  16. 14
  17. 10
  18. 16
  19. 26
  20. 13
  21. 19
  22. 3
  23. 25
  24. 9
  25. 10
  26. 29
  27. 6
  28. 23
  29. 14
  30. 16
  31. 14
  32. 23
  33. 8
  34. 29
  35. 12
  36. 10
  37. 20
  38. 8
  39. 19
  40. 7

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