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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 263 · 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 13. When the number 3 is added to them, what is the new mean? (a) 12 (b) 8 (c) 11 (d) 13
  2. 2.The mean of 4 numbers is 23. When the number 38 is added to them, what is the new mean? (a) 27 (b) 25 (c) 26 (d) 23
  3. 3.What is the mode of 9, 20, 17, 17, 20, 17 and 13? (a) 13 (b) 9 (c) 17 (d) 20
  4. 4.What is the median of 39, 28, 22, 13, 7, 16 and 17? (a) 22 (b) 17 (c) 13 (d) 16
  5. 5.What is the mode of 19, 2, 11, 2, 19, 19 and 4? (a) 11 (b) 4 (c) 2 (d) 19
  6. 6.What is the median of 38, 7, 39, 4, 9, 11 and 5? (a) 4 (b) 7 (c) 9 (d) 11
  7. 7.The mean of 6 numbers is 16. When the number 9 is added to them, what is the new mean? (a) 17 (b) 16 (c) 15 (d) 14
  8. 8.The mean of 7 numbers is 35. When the number 19 is added to them, what is the new mean? (a) 35 (b) 34 (c) 33 (d) 27
  9. 9.What is the mean of 14, 11, 17, 19, 7 and 10? (a) 15 (b) 14 (c) 12 (d) 13
  10. 10.What is the mean of 4, 5, 10, 18 and 18? (a) 10 (b) 13 (c) 12 (d) 11
  11. 11.What is the mean of 13, 4, 13, 3, 14 and 13? (a) 12 (b) 10 (c) 9 (d) 11
  12. 12.The mean of 6 numbers is 16. When the number 30 is added to them, what is the new mean? (a) 23 (b) 16 (c) 19 (d) 18
  13. 13.What is the mean of 2, 8, 15 and 3? (a) 9 (b) 6 (c) 7 (d) 8
  14. 14.What is the mode of 3, 16, 8, 17, 3, 3 and 8? (a) 16 (b) 8 (c) 17 (d) 3
  15. 15.What is the median of 10, 39, 24, 4 and 1? (a) 10 (b) 11 (c) 4 (d) 24
  16. 16.What is the mean of 14, 18, 14, 19, 20 and 23? (a) 20 (b) 18 (c) 17 (d) 19
  17. 17.The mean of 8 numbers is 31. When the number 22 is added to them, what is the new mean? (a) 30 (b) 32 (c) 29 (d) 31
  18. 18.What is the mode of 18, 16, 16, 8, 8, 5 and 8? (a) 5 (b) 18 (c) 8 (d) 16
  19. 19.What is the mode of 5, 20, 6, 20, 13, 20 and 5? (a) 13 (b) 6 (c) 5 (d) 20
  20. 20.What is the mean of 15, 3, 4 and 10? (a) 8 (b) 7 (c) 10 (d) 9
  21. 21.What is the mode of 14, 11, 14, 4, 14, 11 and 13? (a) 14 (b) 4 (c) 13 (d) 11
  22. 22.What is the mode of 9, 3, 9, 9, 7, 11 and 7? (a) 7 (b) 3 (c) 9 (d) 11
  23. 23.The mean of 9 numbers is 31. When the number 61 is added to them, what is the new mean? (a) 46 (b) 35 (c) 31 (d) 34
  24. 24.What is the mode of 18, 7, 7, 17, 18, 18 and 16? (a) 17 (b) 16 (c) 7 (d) 18
  25. 25.What is the mean of 5, 5, 6 and 8? (a) 5 (b) 6 (c) 7 (d) 8
  26. 26.The mean of 8 numbers is 23. When the number 5 is added to them, what is the new mean? (a) 22 (b) 23 (c) 21 (d) 14
  27. 27.What is the median of 17, 1, 15, 18 and 40? (a) 15 (b) 16 (c) 18 (d) 17
  28. 28.The mean of 7 numbers is 15. When the number 7 is added to them, what is the new mean? (a) 11 (b) 15 (c) 14 (d) 13
  29. 29.What is the mean of 15, 2, 17, 11 and 10? (a) 12 (b) 10 (c) 13 (d) 11
  30. 30.What is the mode of 17, 18, 17, 7, 18, 5 and 18? (a) 17 (b) 7 (c) 18 (d) 5
  31. 31.What is the mode of 15, 15, 1, 2, 8, 1 and 15? (a) 8 (b) 1 (c) 15 (d) 2
  32. 32.What is the mode of 1, 18, 5, 5, 3, 1 and 1? (a) 1 (b) 3 (c) 5 (d) 18
  33. 33.What is the mode of 7, 2, 7, 7, 8, 2 and 14? (a) 7 (b) 8 (c) 2 (d) 14
  34. 34.What is the mean of 5, 16, 8 and 11? (a) 8 (b) 10 (c) 9 (d) 11
  35. 35.What is the mode of 20, 19, 12, 5, 20, 19 and 19? (a) 19 (b) 20 (c) 5 (d) 12
  36. 36.What is the mean of 11, 20, 14, 3, 6 and 6? (a) 12 (b) 11 (c) 9 (d) 10
  37. 37.What is the mode of 1, 11, 1, 14, 3, 11 and 1? (a) 11 (b) 1 (c) 3 (d) 14
  38. 38.What is the median of 16, 34, 21, 12, 24, 23 and 40? (a) 21 (b) 24 (c) 23 (d) 12
  39. 39.What is the median of 33, 24, 29, 16, 31, 26 and 38? (a) 26 (b) 16 (c) 31 (d) 29
  40. 40.What is the median of 26, 27, 10, 11, 29, 19 and 24? (a) 24 (b) 19 (c) 26 (d) 11

Answer key

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

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