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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 267 · 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 mode of 7, 20, 17, 4, 4, 20 and 4? (a) 7 (b) 20 (c) 17 (d) 4
  2. 2.What is the mean of 17, 15, 12 and 20? (a) 15 (b) 16 (c) 17 (d) 18
  3. 3.The mean of 3 numbers is 27. When the number 23 is added to them, what is the new mean? (a) 26 (b) 25 (c) 28 (d) 27
  4. 4.What is the median of 20, 34, 11, 1, 16, 31 and 9? (a) 1 (b) 20 (c) 16 (d) 11
  5. 5.What is the median of 6, 24, 14, 30, 20, 1 and 4? (a) 6 (b) 30 (c) 14 (d) 20
  6. 6.What is the mode of 16, 7, 2, 7, 2, 2 and 5? (a) 2 (b) 7 (c) 16 (d) 5
  7. 7.What is the mean of 11, 15, 12 and 2? (a) 9 (b) 8 (c) 10 (d) 11
  8. 8.What is the median of 8, 10, 6, 32 and 7? (a) 10 (b) 6 (c) 7 (d) 8
  9. 9.What is the mean of 10, 9, 12, 4, 20 and 17? (a) 14 (b) 11 (c) 13 (d) 12
  10. 10.What is the mode of 10, 10, 12, 1, 12, 15 and 12? (a) 1 (b) 10 (c) 15 (d) 12
  11. 11.What is the mode of 1, 6, 13, 1, 6, 14 and 1? (a) 6 (b) 1 (c) 14 (d) 13
  12. 12.What is the mean of 2, 8, 12 and 6? (a) 7 (b) 9 (c) 8 (d) 6
  13. 13.The mean of 7 numbers is 20. When the number 28 is added to them, what is the new mean? (a) 24 (b) 20 (c) 22 (d) 21
  14. 14.What is the mode of 16, 6, 5, 5, 5, 16 and 20? (a) 20 (b) 6 (c) 16 (d) 5
  15. 15.What is the mean of 19, 19, 4 and 6? (a) 11 (b) 12 (c) 16 (d) 13
  16. 16.What is the median of 12, 34, 1, 6, 17, 27 and 7? (a) 12 (b) 6 (c) 7 (d) 17
  17. 17.The mean of 3 numbers is 28. When the number 44 is added to them, what is the new mean? (a) 33 (b) 32 (c) 28 (d) 36
  18. 18.What is the mean of 8, 6, 13, 19, 2 and 24? (a) 12 (b) 11 (c) 13 (d) 14
  19. 19.What is the median of 13, 14, 12, 10, 5, 8 and 16? (a) 10 (b) 13 (c) 12 (d) 11
  20. 20.What is the median of 3, 15, 26, 37 and 27? (a) 25 (b) 27 (c) 26 (d) 15
  21. 21.What is the mode of 12, 12, 1, 16, 13, 1 and 1? (a) 1 (b) 12 (c) 13 (d) 16
  22. 22.What is the mean of 5, 14, 11, 4 and 6? (a) 7 (b) 8 (c) 10 (d) 9
  23. 23.The mean of 4 numbers is 17. When the number 22 is added to them, what is the new mean? (a) 17 (b) 20 (c) 19 (d) 18
  24. 24.What is the median of 21, 1, 31, 34 and 8? (a) 21 (b) 8 (c) 19 (d) 31
  25. 25.The mean of 5 numbers is 21. When the number 3 is added to them, what is the new mean? (a) 19 (b) 18 (c) 12 (d) 21
  26. 26.The mean of 9 numbers is 17. When the number 57 is added to them, what is the new mean? (a) 37 (b) 22 (c) 21 (d) 17
  27. 27.What is the mode of 1, 1, 5, 7, 9, 1 and 5? (a) 7 (b) 5 (c) 9 (d) 1
  28. 28.What is the mode of 8, 3, 7, 8, 7, 8 and 15? (a) 3 (b) 7 (c) 15 (d) 8
  29. 29.What is the mode of 10, 7, 16, 7, 16, 7 and 2? (a) 7 (b) 10 (c) 16 (d) 2
  30. 30.What is the mode of 3, 13, 7, 7, 19, 3 and 7? (a) 7 (b) 19 (c) 13 (d) 3
  31. 31.What is the mode of 15, 12, 1, 7, 7, 1 and 1? (a) 12 (b) 7 (c) 15 (d) 1
  32. 32.The mean of 3 numbers is 36. When the number 24 is added to them, what is the new mean? (a) 34 (b) 36 (c) 30 (d) 33
  33. 33.What is the median of 8, 3, 10, 15, 14, 12 and 40? (a) 15 (b) 10 (c) 14 (d) 12
  34. 34.What is the mean of 10, 4, 6 and 16? (a) 10 (b) 12 (c) 8 (d) 9
  35. 35.What is the median of 32, 28, 26, 19 and 18? (a) 19 (b) 27 (c) 28 (d) 26
  36. 36.What is the median of 36, 29, 13, 3 and 7? (a) 29 (b) 7 (c) 14 (d) 13
  37. 37.What is the median of 9, 7, 40, 39, 28, 24 and 33? (a) 33 (b) 24 (c) 39 (d) 28
  38. 38.The mean of 4 numbers is 32. When the number 17 is added to them, what is the new mean? (a) 32 (b) 30 (c) 29 (d) 28
  39. 39.The mean of 3 numbers is 10. When the number 22 is added to them, what is the new mean? (a) 10 (b) 13 (c) 16 (d) 14
  40. 40.What is the mean of 17, 2, 17, 18, 4 and 14? (a) 14 (b) 13 (c) 11 (d) 12

Answer key

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

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