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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 685 · 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 18, 11, 16, 17 and 3? (a) 13 (b) 14 (c) 15 (d) 12
  2. 2.What is the mean of 4, 4, 5 and 11? (a) 5 (b) 6 (c) 8 (d) 7
  3. 3.What is the mode of 18, 15, 18, 14, 14, 14 and 6? (a) 18 (b) 14 (c) 15 (d) 6
  4. 4.The mean of 8 numbers is 37. When the number 19 is added to them, what is the new mean? (a) 37 (b) 36 (c) 35 (d) 28
  5. 5.What is the median of 25, 38, 32, 5 and 10? (a) 22 (b) 32 (c) 10 (d) 25
  6. 6.What is the mean of 2, 12, 6, 6 and 9? (a) 8 (b) 7 (c) 6 (d) 9
  7. 7.What is the mode of 12, 12, 4, 13, 18, 12 and 13? (a) 4 (b) 18 (c) 12 (d) 13
  8. 8.What is the median of 6, 9, 18, 22 and 31? (a) 22 (b) 9 (c) 18 (d) 19
  9. 9.What is the median of 21, 2, 13, 12 and 23? (a) 21 (b) 12 (c) 13 (d) 14
  10. 10.What is the mean of 18, 6, 13, 2, 19 and 14? (a) 12 (b) 14 (c) 11 (d) 13
  11. 11.What is the median of 21, 19, 12, 11 and 39? (a) 19 (b) 12 (c) 20 (d) 21
  12. 12.The mean of 4 numbers is 28. When the number 48 is added to them, what is the new mean? (a) 33 (b) 28 (c) 32 (d) 38
  13. 13.What is the mode of 4, 11, 12, 2, 12, 12 and 11? (a) 4 (b) 2 (c) 11 (d) 12
  14. 14.What is the mode of 11, 11, 4, 13, 20, 4 and 4? (a) 20 (b) 11 (c) 4 (d) 13
  15. 15.What is the median of 20, 17, 21, 4, 38, 9 and 33? (a) 21 (b) 4 (c) 20 (d) 17
  16. 16.The mean of 3 numbers is 34. When the number 26 is added to them, what is the new mean? (a) 32 (b) 34 (c) 33 (d) 30
  17. 17.The mean of 5 numbers is 30. When the number 24 is added to them, what is the new mean? (a) 30 (b) 27 (c) 29 (d) 28
  18. 18.What is the mode of 15, 5, 2, 14, 14, 5 and 5? (a) 14 (b) 15 (c) 2 (d) 5
  19. 19.What is the mode of 8, 20, 11, 11, 11, 8 and 2? (a) 8 (b) 20 (c) 11 (d) 2
  20. 20.The mean of 7 numbers is 32. When the number 24 is added to them, what is the new mean? (a) 30 (b) 28 (c) 31 (d) 32
  21. 21.What is the mode of 19, 3, 9, 3, 3, 17 and 9? (a) 9 (b) 17 (c) 19 (d) 3
  22. 22.What is the mode of 1, 13, 5, 5, 1, 8 and 5? (a) 8 (b) 13 (c) 5 (d) 1
  23. 23.What is the median of 13, 17, 29, 38, 2, 4 and 8? (a) 13 (b) 17 (c) 38 (d) 8
  24. 24.What is the mean of 5, 3, 5 and 3? (a) 6 (b) 3 (c) 5 (d) 4
  25. 25.What is the mode of 15, 13, 13, 18, 15, 17 and 15? (a) 18 (b) 15 (c) 13 (d) 17
  26. 26.What is the mode of 20, 15, 17, 20, 8, 15 and 20? (a) 20 (b) 8 (c) 15 (d) 17
  27. 27.What is the mean of 13, 6, 14, 17 and 5? (a) 12 (b) 11 (c) 10 (d) 13
  28. 28.What is the mean of 6, 14, 5, 9 and 6? (a) 10 (b) 9 (c) 8 (d) 7
  29. 29.What is the median of 9, 30, 6, 12 and 25? (a) 12 (b) 9 (c) 6 (d) 25
  30. 30.What is the mode of 9, 3, 2, 3, 3, 18 and 18? (a) 2 (b) 9 (c) 3 (d) 18
  31. 31.The mean of 6 numbers is 15. When the number 22 is added to them, what is the new mean? (a) 16 (b) 18 (c) 15 (d) 17
  32. 32.The mean of 6 numbers is 26. When the number 40 is added to them, what is the new mean? (a) 26 (b) 29 (c) 33 (d) 28
  33. 33.What is the mode of 16, 11, 4, 11, 9, 16 and 16? (a) 9 (b) 4 (c) 16 (d) 11
  34. 34.What is the mode of 15, 14, 7, 14, 14, 16 and 16? (a) 15 (b) 16 (c) 14 (d) 7
  35. 35.The mean of 6 numbers is 12. When the number 5 is added to them, what is the new mean? (a) 13 (b) 12 (c) 11 (d) 10
  36. 36.The mean of 3 numbers is 25. When the number 21 is added to them, what is the new mean? (a) 23 (b) 26 (c) 24 (d) 25
  37. 37.The mean of 3 numbers is 32. When the number 24 is added to them, what is the new mean? (a) 28 (b) 31 (c) 32 (d) 30
  38. 38.The mean of 3 numbers is 28. When the number 40 is added to them, what is the new mean? (a) 32 (b) 28 (c) 34 (d) 31
  39. 39.What is the mean of 4, 20, 8 and 8? (a) 9 (b) 8 (c) 10 (d) 11
  40. 40.The mean of 7 numbers is 21. When the number 53 is added to them, what is the new mean? (a) 26 (b) 25 (c) 21 (d) 37

Answer key

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

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