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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 43 · 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 33. When the number 51 is added to them, what is the new mean? (a) 36 (b) 42 (c) 35 (d) 33
  2. 2.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
  3. 3.What is the median of 25, 2, 39, 22, 30, 15 and 14? (a) 15 (b) 22 (c) 25 (d) 21
  4. 4.What is the mean of 8, 6, 16 and 6? (a) 12 (b) 9 (c) 8 (d) 10
  5. 5.What is the mode of 2, 1, 9, 1, 9, 9 and 7? (a) 7 (b) 1 (c) 2 (d) 9
  6. 6.What is the mean of 13, 14, 9, 14 and 20? (a) 16 (b) 14 (c) 13 (d) 15
  7. 7.What is the mean of 15, 17, 3, 10 and 15? (a) 10 (b) 15 (c) 13 (d) 12
  8. 8.What is the mean of 18, 6, 8, 2 and 21? (a) 10 (b) 12 (c) 13 (d) 11
  9. 9.What is the mean of 7, 4, 4, 14, 17 and 20? (a) 13 (b) 12 (c) 10 (d) 11
  10. 10.What is the median of 5, 22, 1, 31 and 7? (a) 1 (b) 5 (c) 22 (d) 7
  11. 11.What is the median of 28, 5, 30, 11 and 40? (a) 29 (b) 11 (c) 28 (d) 30
  12. 12.What is the mean of 2, 16, 6 and 8? (a) 9 (b) 8 (c) 7 (d) 10
  13. 13.The mean of 3 numbers is 21. When the number 9 is added to them, what is the new mean? (a) 15 (b) 19 (c) 21 (d) 18
  14. 14.What is the mean of 7, 3, 7, 6 and 7? (a) 5 (b) 6 (c) 8 (d) 7
  15. 15.What is the median of 18, 6, 22, 28 and 33? (a) 28 (b) 23 (c) 22 (d) 18
  16. 16.What is the mean of 10, 18, 9, 9, 9 and 17? (a) 12 (b) 14 (c) 13 (d) 11
  17. 17.What is the mean of 7, 15, 11 and 15? (a) 16 (b) 12 (c) 13 (d) 11
  18. 18.The mean of 5 numbers is 22. When the number 34 is added to them, what is the new mean? (a) 24 (b) 22 (c) 25 (d) 28
  19. 19.What is the mode of 6, 19, 3, 4, 19, 19 and 3? (a) 6 (b) 3 (c) 19 (d) 4
  20. 20.What is the median of 40, 23, 15, 26 and 14? (a) 24 (b) 15 (c) 26 (d) 23
  21. 21.The mean of 3 numbers is 29. When the number 33 is added to them, what is the new mean? (a) 31 (b) 29 (c) 30 (d) 32
  22. 22.What is the mean of 16, 9, 14, 17 and 24? (a) 20 (b) 15 (c) 16 (d) 17
  23. 23.What is the median of 21, 20, 26, 23, 9, 11 and 34? (a) 23 (b) 20 (c) 22 (d) 21
  24. 24.What is the mean of 14, 13, 15, 9 and 9? (a) 13 (b) 15 (c) 10 (d) 12
  25. 25.What is the mode of 17, 17, 5, 20, 17, 11 and 11? (a) 20 (b) 17 (c) 11 (d) 5
  26. 26.What is the median of 5, 2, 29, 13 and 9? (a) 13 (b) 5 (c) 29 (d) 9
  27. 27.What is the mode of 16, 16, 16, 2, 6, 19 and 6? (a) 2 (b) 6 (c) 19 (d) 16
  28. 28.The mean of 4 numbers is 35. When the number 40 is added to them, what is the new mean? (a) 38 (b) 37 (c) 35 (d) 36
  29. 29.The mean of 4 numbers is 16. When the number 6 is added to them, what is the new mean? (a) 16 (b) 14 (c) 11 (d) 15
  30. 30.What is the median of 17, 23, 35, 36 and 11? (a) 17 (b) 24 (c) 23 (d) 35
  31. 31.What is the median of 36, 4, 12, 34 and 16? (a) 17 (b) 12 (c) 34 (d) 16
  32. 32.What is the mode of 12, 11, 6, 2, 6, 2 and 2? (a) 12 (b) 11 (c) 6 (d) 2
  33. 33.What is the median of 39, 10, 1, 15 and 36? (a) 36 (b) 15 (c) 1 (d) 10
  34. 34.What is the mean of 16, 19, 4, 19, 11 and 9? (a) 13 (b) 12 (c) 14 (d) 15
  35. 35.What is the mean of 5, 19, 3, 9 and 9? (a) 8 (b) 10 (c) 11 (d) 9
  36. 36.What is the median of 23, 14, 34, 18 and 11? (a) 18 (b) 34 (c) 20 (d) 23
  37. 37.What is the median of 25, 3, 13, 36 and 21? (a) 25 (b) 22 (c) 21 (d) 13
  38. 38.What is the mean of 7, 14, 3 and 20? (a) 12 (b) 13 (c) 10 (d) 11
  39. 39.What is the median of 35, 34, 13, 40 and 15? (a) 35 (b) 15 (c) 13 (d) 34
  40. 40.What is the mean of 19, 11, 10, 13, 8 and 11? (a) 13 (b) 11 (c) 12 (d) 14

Answer key

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

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