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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 387 · 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 6 numbers is 24. When the number 10 is added to them, what is the new mean? (a) 24 (b) 23 (c) 22 (d) 17
  2. 2.What is the median of 19, 30, 23, 6 and 39? (a) 30 (b) 23 (c) 24 (d) 19
  3. 3.What is the mode of 1, 18, 4, 20, 20, 1 and 20? (a) 18 (b) 20 (c) 1 (d) 4
  4. 4.What is the mode of 12, 1, 1, 12, 9, 1 and 17? (a) 12 (b) 9 (c) 1 (d) 17
  5. 5.What is the mean of 20, 4, 3 and 17? (a) 12 (b) 10 (c) 11 (d) 13
  6. 6.The mean of 4 numbers is 12. When the number 2 is added to them, what is the new mean? (a) 11 (b) 7 (c) 12 (d) 10
  7. 7.What is the mean of 6, 7, 10, 15, 5 and 17? (a) 12 (b) 11 (c) 10 (d) 9
  8. 8.What is the mode of 7, 2, 19, 7, 2, 15 and 2? (a) 15 (b) 7 (c) 2 (d) 19
  9. 9.What is the mean of 20, 4, 16, 10 and 5? (a) 13 (b) 11 (c) 12 (d) 10
  10. 10.What is the mode of 15, 4, 1, 8, 4, 4 and 8? (a) 15 (b) 4 (c) 1 (d) 8
  11. 11.What is the median of 3, 25, 30, 9 and 26? (a) 26 (b) 30 (c) 9 (d) 25
  12. 12.The mean of 3 numbers is 16. When the number 28 is added to them, what is the new mean? (a) 22 (b) 16 (c) 20 (d) 19
  13. 13.What is the median of 24, 23, 29, 10, 38, 3 and 5? (a) 10 (b) 24 (c) 22 (d) 23
  14. 14.What is the median of 25, 4, 18, 27 and 35? (a) 27 (b) 18 (c) 25 (d) 26
  15. 15.The mean of 5 numbers is 32. When the number 20 is added to them, what is the new mean? (a) 32 (b) 30 (c) 31 (d) 26
  16. 16.What is the mean of 14, 2, 7, 6 and 21? (a) 11 (b) 12 (c) 9 (d) 10
  17. 17.What is the mean of 4, 16, 8, 10, 8 and 20? (a) 11 (b) 12 (c) 10 (d) 13
  18. 18.What is the mean of 16, 18, 11, 10 and 20? (a) 17 (b) 15 (c) 16 (d) 14
  19. 19.What is the median of 8, 28, 3, 17 and 2? (a) 17 (b) 8 (c) 9 (d) 3
  20. 20.What is the mode of 11, 3, 3, 3, 1, 13 and 1? (a) 11 (b) 3 (c) 1 (d) 13
  21. 21.What is the mode of 16, 16, 4, 2, 7, 16 and 4? (a) 7 (b) 2 (c) 16 (d) 4
  22. 22.What is the mean of 7, 2, 20, 4, 5 and 10? (a) 9 (b) 10 (c) 8 (d) 7
  23. 23.The mean of 5 numbers is 12. When the number 36 is added to them, what is the new mean? (a) 16 (b) 17 (c) 24 (d) 12
  24. 24.What is the mode of 15, 7, 13, 13, 7, 13 and 1? (a) 15 (b) 7 (c) 1 (d) 13
  25. 25.What is the mode of 7, 7, 3, 3, 20, 11 and 7? (a) 11 (b) 20 (c) 3 (d) 7
  26. 26.What is the mean of 8, 13, 14 and 13? (a) 16 (b) 12 (c) 11 (d) 13
  27. 27.The mean of 4 numbers is 21. When the number 16 is added to them, what is the new mean? (a) 22 (b) 21 (c) 20 (d) 19
  28. 28.What is the median of 16, 19, 3, 35 and 36? (a) 16 (b) 19 (c) 3 (d) 35
  29. 29.What is the median of 3, 8, 22, 13, 38, 11 and 17? (a) 17 (b) 11 (c) 13 (d) 16
  30. 30.What is the median of 8, 14, 33, 38, 26, 30 and 23? (a) 23 (b) 30 (c) 26 (d) 38
  31. 31.The mean of 9 numbers is 23. When the number 63 is added to them, what is the new mean? (a) 43 (b) 28 (c) 27 (d) 23
  32. 32.The mean of 6 numbers is 26. When the number 40 is added to them, what is the new mean? (a) 33 (b) 28 (c) 26 (d) 29
  33. 33.What is the mean of 10, 10, 7, 20 and 8? (a) 12 (b) 10 (c) 13 (d) 11
  34. 34.What is the mode of 20, 20, 18, 18, 13, 18 and 9? (a) 20 (b) 9 (c) 13 (d) 18
  35. 35.What is the median of 22, 31, 18, 4 and 16? (a) 22 (b) 16 (c) 18 (d) 19
  36. 36.The mean of 5 numbers is 33. When the number 45 is added to them, what is the new mean? (a) 36 (b) 35 (c) 33 (d) 39
  37. 37.What is the mode of 9, 12, 7, 12, 7, 7 and 19? (a) 7 (b) 19 (c) 9 (d) 12
  38. 38.What is the mean of 16, 8, 15, 17 and 4? (a) 10 (b) 13 (c) 15 (d) 12
  39. 39.What is the median of 8, 32, 11, 6 and 15? (a) 12 (b) 11 (c) 8 (d) 15
  40. 40.What is the median of 28, 26, 20, 15, 11, 7 and 6? (a) 20 (b) 16 (c) 11 (d) 15

Answer key

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

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