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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 393 · 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 mean of 8, 20, 9, 9 and 19? (a) 15 (b) 12 (c) 14 (d) 13
  2. 2.What is the mode of 3, 6, 8, 16, 8, 6 and 6? (a) 16 (b) 3 (c) 6 (d) 8
  3. 3.The mean of 7 numbers is 29. When the number 53 is added to them, what is the new mean? (a) 41 (b) 33 (c) 32 (d) 29
  4. 4.What is the mean of 19, 19, 13 and 9? (a) 16 (b) 20 (c) 15 (d) 12
  5. 5.What is the mode of 11, 14, 18, 16, 14, 18 and 18? (a) 14 (b) 11 (c) 18 (d) 16
  6. 6.What is the median of 17, 22, 32, 7 and 38? (a) 32 (b) 23 (c) 17 (d) 22
  7. 7.The mean of 4 numbers is 28. When the number 18 is added to them, what is the new mean? (a) 23 (b) 27 (c) 26 (d) 28
  8. 8.What is the mode of 10, 5, 5, 9, 2, 5 and 2? (a) 2 (b) 10 (c) 5 (d) 9
  9. 9.What is the mode of 2, 5, 9, 17, 9, 2 and 9? (a) 2 (b) 9 (c) 5 (d) 17
  10. 10.What is the median of 6, 35, 8, 22, 37, 15 and 26? (a) 23 (b) 26 (c) 22 (d) 15
  11. 11.What is the mean of 6, 20, 18, 12, 7 and 21? (a) 15 (b) 12 (c) 14 (d) 13
  12. 12.What is the median of 39, 37, 8, 2, 15, 26 and 24? (a) 24 (b) 26 (c) 2 (d) 15
  13. 13.The mean of 3 numbers is 35. When the number 19 is added to them, what is the new mean? (a) 27 (b) 31 (c) 35 (d) 32
  14. 14.What is the median of 31, 8, 6, 14, 1, 13 and 5? (a) 13 (b) 14 (c) 6 (d) 8
  15. 15.What is the mean of 14, 10, 9, 15, 11 and 13? (a) 11 (b) 12 (c) 14 (d) 13
  16. 16.What is the mode of 16, 2, 2, 4, 2, 11 and 4? (a) 11 (b) 4 (c) 16 (d) 2
  17. 17.What is the median of 39, 3, 7, 22, 12, 13 and 25? (a) 22 (b) 13 (c) 12 (d) 14
  18. 18.What is the mean of 9, 11, 5, 14 and 16? (a) 13 (b) 12 (c) 10 (d) 11
  19. 19.What is the median of 29, 9, 15, 34, 5, 10 and 8? (a) 15 (b) 10 (c) 34 (d) 9
  20. 20.The mean of 6 numbers is 28. When the number 14 is added to them, what is the new mean? (a) 26 (b) 28 (c) 27 (d) 21
  21. 21.What is the mode of 17, 8, 16, 13, 17, 17 and 16? (a) 16 (b) 8 (c) 13 (d) 17
  22. 22.What is the mean of 7, 13, 10 and 18? (a) 12 (b) 11 (c) 13 (d) 16
  23. 23.What is the mean of 14, 6, 7 and 21? (a) 11 (b) 13 (c) 16 (d) 12
  24. 24.What is the mean of 2, 6, 6 and 22? (a) 8 (b) 10 (c) 9 (d) 12
  25. 25.What is the median of 32, 18, 13, 26 and 5? (a) 18 (b) 26 (c) 19 (d) 13
  26. 26.The mean of 3 numbers is 11. When the number 7 is added to them, what is the new mean? (a) 11 (b) 12 (c) 9 (d) 10
  27. 27.What is the mean of 19, 2, 4, 4 and 21? (a) 9 (b) 12 (c) 10 (d) 11
  28. 28.What is the mode of 7, 17, 14, 1, 1, 7 and 7? (a) 14 (b) 1 (c) 7 (d) 17
  29. 29.What is the mean of 16, 17, 18 and 17? (a) 18 (b) 19 (c) 17 (d) 16
  30. 30.What is the median of 19, 36, 14, 24, 27, 16 and 20? (a) 24 (b) 19 (c) 20 (d) 21
  31. 31.What is the mode of 17, 5, 17, 16, 17, 1 and 1? (a) 16 (b) 1 (c) 5 (d) 17
  32. 32.What is the median of 6, 17, 36, 31, 37, 40 and 26? (a) 31 (b) 32 (c) 36 (d) 26
  33. 33.What is the median of 11, 13, 6, 1 and 40? (a) 6 (b) 11 (c) 13 (d) 12
  34. 34.The mean of 9 numbers is 34. When the number 54 is added to them, what is the new mean? (a) 37 (b) 34 (c) 36 (d) 44
  35. 35.What is the mean of 4, 17, 6, 17 and 21? (a) 14 (b) 15 (c) 12 (d) 13
  36. 36.What is the mode of 18, 13, 8, 13, 1, 8 and 13? (a) 13 (b) 1 (c) 8 (d) 18
  37. 37.What is the mode of 11, 2, 16, 11, 16, 14 and 16? (a) 11 (b) 2 (c) 14 (d) 16
  38. 38.The mean of 7 numbers is 18. When the number 42 is added to them, what is the new mean? (a) 30 (b) 22 (c) 18 (d) 21
  39. 39.The mean of 4 numbers is 29. When the number 14 is added to them, what is the new mean? (a) 29 (b) 27 (c) 26 (d) 25
  40. 40.What is the mode of 2, 14, 14, 14, 9, 16 and 16? (a) 14 (b) 9 (c) 2 (d) 16

Answer key

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

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