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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 410 · 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 8 numbers is 31. When the number 13 is added to them, what is the new mean? (a) 22 (b) 31 (c) 30 (d) 29
  2. 2.The mean of 6 numbers is 11. When the number 18 is added to them, what is the new mean? (a) 11 (b) 12 (c) 14 (d) 13
  3. 3.What is the mode of 9, 15, 4, 6, 9, 4 and 4? (a) 9 (b) 6 (c) 15 (d) 4
  4. 4.What is the mode of 8, 20, 8, 8, 2, 2 and 13? (a) 8 (b) 20 (c) 2 (d) 13
  5. 5.What is the median of 18, 31, 27, 38 and 40? (a) 38 (b) 31 (c) 27 (d) 32
  6. 6.What is the median of 5, 29, 21, 25 and 10? (a) 21 (b) 25 (c) 10 (d) 18
  7. 7.What is the mode of 17, 19, 17, 3, 11, 19 and 17? (a) 3 (b) 11 (c) 17 (d) 19
  8. 8.What is the mean of 19, 12, 19 and 6? (a) 15 (b) 13 (c) 16 (d) 14
  9. 9.The mean of 8 numbers is 26. When the number 62 is added to them, what is the new mean? (a) 44 (b) 26 (c) 31 (d) 30
  10. 10.What is the mode of 7, 12, 7, 7, 12, 1 and 13? (a) 12 (b) 1 (c) 7 (d) 13
  11. 11.What is the median of 15, 11, 13, 8 and 2? (a) 12 (b) 11 (c) 8 (d) 13
  12. 12.What is the mean of 9, 11, 13, 15, 9 and 21? (a) 12 (b) 14 (c) 15 (d) 13
  13. 13.What is the median of 28, 11, 33, 29, 36, 17 and 2? (a) 17 (b) 29 (c) 27 (d) 28
  14. 14.What is the median of 36, 1, 19, 30 and 15? (a) 20 (b) 15 (c) 30 (d) 19
  15. 15.What is the mode of 18, 16, 16, 13, 17, 18 and 16? (a) 16 (b) 13 (c) 17 (d) 18
  16. 16.The mean of 9 numbers is 39. When the number 19 is added to them, what is the new mean? (a) 37 (b) 39 (c) 38 (d) 29
  17. 17.What is the median of 11, 16, 25, 8 and 9? (a) 25 (b) 16 (c) 11 (d) 9
  18. 18.What is the median of 25, 18, 17, 37, 8, 32 and 34? (a) 32 (b) 25 (c) 37 (d) 18
  19. 19.What is the median of 36, 21, 27, 23, 25, 38 and 15? (a) 23 (b) 27 (c) 26 (d) 25
  20. 20.The mean of 3 numbers is 33. When the number 17 is added to them, what is the new mean? (a) 33 (b) 25 (c) 29 (d) 30
  21. 21.What is the mean of 13, 6, 8, 13 and 10? (a) 9 (b) 10 (c) 12 (d) 11
  22. 22.What is the median of 33, 22, 6, 13, 3, 1 and 28? (a) 6 (b) 14 (c) 22 (d) 13
  23. 23.The mean of 6 numbers is 11. When the number 39 is added to them, what is the new mean? (a) 11 (b) 15 (c) 25 (d) 16
  24. 24.What is the median of 28, 29, 36, 11 and 2? (a) 29 (b) 28 (c) 36 (d) 11
  25. 25.What is the mean of 5, 5, 16 and 22? (a) 16 (b) 12 (c) 13 (d) 11
  26. 26.The mean of 5 numbers is 40. When the number 28 is added to them, what is the new mean? (a) 40 (b) 34 (c) 39 (d) 38
  27. 27.What is the median of 25, 10, 20, 27 and 31? (a) 27 (b) 26 (c) 20 (d) 25
  28. 28.What is the mean of 3, 12, 7 and 14? (a) 12 (b) 9 (c) 10 (d) 8
  29. 29.What is the median of 13, 36, 4, 26, 5, 3 and 14? (a) 13 (b) 14 (c) 26 (d) 5
  30. 30.What is the mode of 20, 5, 4, 5, 4, 5 and 17? (a) 4 (b) 20 (c) 5 (d) 17
  31. 31.What is the mode of 5, 2, 14, 8, 5, 2 and 2? (a) 8 (b) 2 (c) 5 (d) 14
  32. 32.What is the median of 29, 37, 3, 10, 28, 19 and 5? (a) 10 (b) 20 (c) 19 (d) 28
  33. 33.What is the mean of 4, 14, 18, 17, 10 and 9? (a) 14 (b) 13 (c) 11 (d) 12
  34. 34.The mean of 9 numbers is 28. When the number 8 is added to them, what is the new mean? (a) 27 (b) 26 (c) 18 (d) 28
  35. 35.What is the mode of 10, 6, 10, 19, 17, 17 and 17? (a) 10 (b) 6 (c) 19 (d) 17
  36. 36.The mean of 5 numbers is 14. When the number 26 is added to them, what is the new mean? (a) 16 (b) 17 (c) 14 (d) 20
  37. 37.What is the mean of 19, 16, 3, 6 and 6? (a) 10 (b) 11 (c) 9 (d) 12
  38. 38.What is the mean of 20, 18, 10 and 8? (a) 15 (b) 13 (c) 16 (d) 14
  39. 39.What is the mode of 19, 19, 10, 8, 8, 8 and 2? (a) 8 (b) 19 (c) 2 (d) 10
  40. 40.What is the mean of 16, 8, 15, 3, 4 and 14? (a) 10 (b) 9 (c) 12 (d) 11

Answer key

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

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