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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 881 · 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 19, 10, 8, 19 and 14? (a) 14 (b) 13 (c) 16 (d) 15
  2. 2.What is the mean of 11, 5, 11, 20, 12 and 13? (a) 13 (b) 11 (c) 14 (d) 12
  3. 3.What is the mean of 2, 7, 12 and 7? (a) 6 (b) 8 (c) 9 (d) 7
  4. 4.What is the mode of 8, 15, 13, 15, 13, 15 and 6? (a) 8 (b) 6 (c) 15 (d) 13
  5. 5.The mean of 5 numbers is 39. When the number 51 is added to them, what is the new mean? (a) 39 (b) 42 (c) 45 (d) 41
  6. 6.What is the median of 24, 38, 20, 21, 1, 10 and 3? (a) 10 (b) 21 (c) 19 (d) 20
  7. 7.What is the median of 9, 5, 26, 15, 12, 34 and 22? (a) 16 (b) 12 (c) 22 (d) 15
  8. 8.What is the mean of 3, 4, 15, 2 and 6? (a) 6 (b) 7 (c) 8 (d) 5
  9. 9.What is the median of 35, 17, 13, 24, 6, 11 and 32? (a) 13 (b) 18 (c) 24 (d) 17
  10. 10.The mean of 8 numbers is 20. When the number 2 is added to them, what is the new mean? (a) 19 (b) 20 (c) 18 (d) 11
  11. 11.What is the mean of 10, 16, 18 and 20? (a) 17 (b) 16 (c) 15 (d) 18
  12. 12.What is the median of 1, 40, 23, 38, 39, 37 and 6? (a) 38 (b) 23 (c) 36 (d) 37
  13. 13.The mean of 6 numbers is 35. When the number 7 is added to them, what is the new mean? (a) 35 (b) 32 (c) 21 (d) 31
  14. 14.The mean of 5 numbers is 13. When the number 25 is added to them, what is the new mean? (a) 19 (b) 15 (c) 13 (d) 16
  15. 15.What is the mean of 18, 11, 18, 3 and 5? (a) 10 (b) 13 (c) 11 (d) 12
  16. 16.The mean of 3 numbers is 21. When the number 25 is added to them, what is the new mean? (a) 22 (b) 21 (c) 24 (d) 23
  17. 17.What is the mode of 13, 16, 16, 8, 19, 16 and 19? (a) 19 (b) 13 (c) 8 (d) 16
  18. 18.What is the median of 26, 33, 37, 10 and 34? (a) 34 (b) 37 (c) 28 (d) 33
  19. 19.What is the mode of 18, 18, 6, 17, 17, 16 and 17? (a) 18 (b) 16 (c) 6 (d) 17
  20. 20.What is the median of 1, 36, 37, 9, 32, 10 and 6? (a) 10 (b) 32 (c) 11 (d) 9
  21. 21.What is the mean of 15, 20, 11, 8, 18 and 6? (a) 13 (b) 12 (c) 14 (d) 15
  22. 22.The mean of 5 numbers is 16. When the number 10 is added to them, what is the new mean? (a) 15 (b) 14 (c) 13 (d) 16
  23. 23.The mean of 4 numbers is 19. When the number 24 is added to them, what is the new mean? (a) 22 (b) 20 (c) 21 (d) 19
  24. 24.The mean of 3 numbers is 28. When the number 36 is added to them, what is the new mean? (a) 30 (b) 32 (c) 28 (d) 31
  25. 25.What is the median of 7, 34, 1, 39 and 16? (a) 16 (b) 7 (c) 34 (d) 1
  26. 26.The mean of 4 numbers is 27. When the number 17 is added to them, what is the new mean? (a) 27 (b) 26 (c) 22 (d) 25
  27. 27.What is the median of 39, 38, 36, 23, 21, 32 and 40? (a) 38 (b) 23 (c) 36 (d) 32
  28. 28.What is the median of 8, 4, 23, 7 and 9? (a) 8 (b) 7 (c) 23 (d) 9
  29. 29.What is the mean of 5, 2, 15 and 14? (a) 10 (b) 9 (c) 8 (d) 12
  30. 30.What is the median of 4, 12, 13, 19, 2, 11 and 3? (a) 11 (b) 4 (c) 12 (d) 19
  31. 31.What is the mean of 16, 16, 2, 17, 19 and 14? (a) 14 (b) 13 (c) 12 (d) 15
  32. 32.What is the median of 7, 34, 3, 5, 25, 9 and 28? (a) 5 (b) 7 (c) 25 (d) 9
  33. 33.What is the mean of 18, 10, 7, 6, 3 and 16? (a) 9 (b) 12 (c) 11 (d) 10
  34. 34.What is the median of 29, 23, 12, 22, 40, 21 and 17? (a) 23 (b) 21 (c) 24 (d) 22
  35. 35.What is the mean of 4, 6, 16, 12, 2 and 8? (a) 10 (b) 9 (c) 7 (d) 8
  36. 36.What is the median of 32, 23, 38, 3 and 9? (a) 32 (b) 38 (c) 23 (d) 21
  37. 37.The mean of 6 numbers is 33. When the number 54 is added to them, what is the new mean? (a) 36 (b) 35 (c) 37 (d) 33
  38. 38.The mean of 4 numbers is 36. When the number 26 is added to them, what is the new mean? (a) 34 (b) 31 (c) 35 (d) 36
  39. 39.What is the median of 23, 5, 40, 3, 33, 19 and 10? (a) 23 (b) 19 (c) 3 (d) 10
  40. 40.What is the mode of 6, 16, 19, 19, 6, 6 and 7? (a) 7 (b) 6 (c) 16 (d) 19

Answer key

  1. 14
  2. 12
  3. 7
  4. 15
  5. 41
  6. 20
  7. 15
  8. 6
  9. 17
  10. 18
  11. 16
  12. 37
  13. 31
  14. 15
  15. 11
  16. 22
  17. 16
  18. 33
  19. 17
  20. 10
  21. 13
  22. 15
  23. 20
  24. 30
  25. 16
  26. 25
  27. 36
  28. 8
  29. 9
  30. 11
  31. 14
  32. 9
  33. 10
  34. 22
  35. 8
  36. 23
  37. 36
  38. 34
  39. 19
  40. 6

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