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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 663 · 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 6, 2, 15, 2, 6, 2 and 10? (a) 15 (b) 10 (c) 6 (d) 2
  2. 2.The mean of 4 numbers is 28. When the number 33 is added to them, what is the new mean? (a) 30 (b) 31 (c) 28 (d) 29
  3. 3.The mean of 3 numbers is 13. When the number 29 is added to them, what is the new mean? (a) 13 (b) 17 (c) 21 (d) 18
  4. 4.What is the mode of 5, 20, 16, 20, 11, 11 and 11? (a) 16 (b) 5 (c) 11 (d) 20
  5. 5.What is the mean of 9, 15, 12 and 8? (a) 12 (b) 10 (c) 11 (d) 13
  6. 6.What is the median of 25, 28, 36, 14 and 4? (a) 14 (b) 28 (c) 25 (d) 36
  7. 7.What is the median of 5, 3, 21, 31, 34, 35 and 26? (a) 26 (b) 21 (c) 31 (d) 27
  8. 8.What is the mode of 4, 4, 18, 18, 4, 15 and 6? (a) 18 (b) 6 (c) 15 (d) 4
  9. 9.The mean of 6 numbers is 27. When the number 20 is added to them, what is the new mean? (a) 26 (b) 27 (c) 25 (d) 28
  10. 10.What is the mean of 17, 3, 3 and 9? (a) 7 (b) 10 (c) 9 (d) 8
  11. 11.What is the mean of 10, 19, 17, 8 and 16? (a) 13 (b) 15 (c) 16 (d) 14
  12. 12.The mean of 3 numbers is 33. When the number 49 is added to them, what is the new mean? (a) 33 (b) 37 (c) 38 (d) 41
  13. 13.What is the mode of 14, 4, 14, 5, 4, 4 and 10? (a) 5 (b) 14 (c) 10 (d) 4
  14. 14.What is the median of 27, 6, 28, 10 and 3? (a) 28 (b) 27 (c) 10 (d) 6
  15. 15.The mean of 4 numbers is 34. When the number 49 is added to them, what is the new mean? (a) 34 (b) 37 (c) 38 (d) 36
  16. 16.What is the mean of 8, 13, 14, 10, 8 and 19? (a) 14 (b) 11 (c) 13 (d) 12
  17. 17.What is the mean of 13, 2, 16 and 5? (a) 10 (b) 12 (c) 8 (d) 9
  18. 18.The mean of 6 numbers is 15. When the number 1 is added to them, what is the new mean? (a) 13 (b) 15 (c) 14 (d) 8
  19. 19.What is the mode of 4, 16, 4, 2, 16, 17 and 16? (a) 2 (b) 4 (c) 17 (d) 16
  20. 20.What is the mean of 15, 14, 11, 13, 8 and 23? (a) 15 (b) 13 (c) 12 (d) 14
  21. 21.The mean of 9 numbers is 40. When the number 70 is added to them, what is the new mean? (a) 40 (b) 43 (c) 44 (d) 55
  22. 22.What is the mode of 17, 4, 9, 20, 20, 20 and 17? (a) 17 (b) 20 (c) 9 (d) 4
  23. 23.What is the mode of 20, 20, 13, 18, 13, 2 and 20? (a) 18 (b) 2 (c) 13 (d) 20
  24. 24.The mean of 4 numbers is 27. When the number 37 is added to them, what is the new mean? (a) 27 (b) 30 (c) 29 (d) 32
  25. 25.What is the mode of 10, 5, 10, 14, 4, 5 and 10? (a) 5 (b) 14 (c) 4 (d) 10
  26. 26.The mean of 4 numbers is 13. When the number 23 is added to them, what is the new mean? (a) 16 (b) 15 (c) 13 (d) 18
  27. 27.What is the mean of 18, 17, 7, 19, 14 and 9? (a) 12 (b) 15 (c) 13 (d) 14
  28. 28.The mean of 8 numbers is 32. When the number 59 is added to them, what is the new mean? (a) 32 (b) 36 (c) 34 (d) 35
  29. 29.What is the mode of 14, 15, 10, 15, 5, 14 and 14? (a) 5 (b) 10 (c) 14 (d) 15
  30. 30.What is the mean of 16, 9, 19 and 4? (a) 13 (b) 16 (c) 11 (d) 12
  31. 31.What is the median of 19, 37, 6, 5 and 4? (a) 7 (b) 5 (c) 6 (d) 19
  32. 32.What is the mode of 5, 12, 5, 14, 6, 5 and 6? (a) 5 (b) 12 (c) 14 (d) 6
  33. 33.What is the mean of 11, 19, 17 and 5? (a) 14 (b) 12 (c) 15 (d) 13
  34. 34.What is the mean of 15, 12, 9, 20, 3 and 7? (a) 11 (b) 12 (c) 13 (d) 10
  35. 35.The mean of 6 numbers is 27. When the number 48 is added to them, what is the new mean? (a) 27 (b) 30 (c) 29 (d) 31
  36. 36.The mean of 3 numbers is 21. When the number 17 is added to them, what is the new mean? (a) 20 (b) 21 (c) 19 (d) 22
  37. 37.What is the mode of 1, 16, 16, 16, 14, 1 and 7? (a) 16 (b) 14 (c) 1 (d) 7
  38. 38.What is the median of 17, 40, 27, 5 and 8? (a) 18 (b) 8 (c) 17 (d) 27
  39. 39.What is the mean of 16, 13, 13 and 6? (a) 12 (b) 13 (c) 11 (d) 16
  40. 40.What is the median of 15, 23, 27, 32 and 37? (a) 32 (b) 27 (c) 28 (d) 23

Answer key

  1. 2
  2. 29
  3. 17
  4. 11
  5. 11
  6. 25
  7. 26
  8. 4
  9. 26
  10. 8
  11. 14
  12. 37
  13. 4
  14. 10
  15. 37
  16. 12
  17. 9
  18. 13
  19. 16
  20. 14
  21. 43
  22. 20
  23. 20
  24. 29
  25. 10
  26. 15
  27. 14
  28. 35
  29. 14
  30. 12
  31. 6
  32. 5
  33. 13
  34. 11
  35. 30
  36. 20
  37. 16
  38. 17
  39. 12
  40. 27

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