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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 74 · 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.The mean of 5 numbers is 27. When the number 51 is added to them, what is the new mean? (a) 39 (b) 27 (c) 32 (d) 31
  2. 2.The mean of 3 numbers is 16. When the number 32 is added to them, what is the new mean? (a) 20 (b) 24 (c) 16 (d) 21
  3. 3.What is the mean of 12, 15, 9, 18, 4 and 20? (a) 13 (b) 12 (c) 15 (d) 14
  4. 4.What is the median of 15, 23, 3, 5 and 18? (a) 3 (b) 18 (c) 5 (d) 15
  5. 5.What is the mean of 20, 7, 9, 3 and 6? (a) 8 (b) 11 (c) 10 (d) 9
  6. 6.What is the median of 17, 34, 10, 31, 3, 16 and 39? (a) 17 (b) 16 (c) 18 (d) 31
  7. 7.The mean of 9 numbers is 36. When the number 16 is added to them, what is the new mean? (a) 36 (b) 34 (c) 35 (d) 26
  8. 8.The mean of 4 numbers is 11. When the number 31 is added to them, what is the new mean? (a) 15 (b) 16 (c) 11 (d) 21
  9. 9.What is the mode of 14, 2, 2, 17, 3, 2 and 3? (a) 3 (b) 2 (c) 14 (d) 17
  10. 10.The mean of 5 numbers is 18. When the number 24 is added to them, what is the new mean? (a) 19 (b) 20 (c) 18 (d) 21
  11. 11.What is the mean of 17, 18, 10, 16, 13 and 10? (a) 12 (b) 14 (c) 15 (d) 13
  12. 12.The mean of 9 numbers is 32. When the number 2 is added to them, what is the new mean? (a) 29 (b) 32 (c) 30 (d) 17
  13. 13.What is the mode of 9, 10, 5, 5, 8, 9 and 5? (a) 8 (b) 9 (c) 10 (d) 5
  14. 14.What is the median of 19, 32, 5, 18, 21, 10 and 38? (a) 21 (b) 18 (c) 19 (d) 20
  15. 15.What is the median of 30, 10, 18, 14 and 7? (a) 18 (b) 10 (c) 14 (d) 15
  16. 16.What is the mean of 19, 8, 16 and 5? (a) 13 (b) 16 (c) 11 (d) 12
  17. 17.What is the mean of 20, 16, 7 and 5? (a) 12 (b) 13 (c) 11 (d) 16
  18. 18.What is the median of 23, 15, 22, 26, 30, 1 and 36? (a) 24 (b) 22 (c) 26 (d) 23
  19. 19.The mean of 7 numbers is 13. When the number 21 is added to them, what is the new mean? (a) 13 (b) 14 (c) 15 (d) 17
  20. 20.What is the median of 22, 30, 4, 8, 11, 2 and 23? (a) 22 (b) 8 (c) 12 (d) 11
  21. 21.What is the median of 25, 12, 40, 35, 17, 9 and 11? (a) 35 (b) 12 (c) 25 (d) 17
  22. 22.What is the mode of 10, 2, 12, 12, 16, 2 and 12? (a) 10 (b) 16 (c) 2 (d) 12
  23. 23.The mean of 6 numbers is 22. When the number 43 is added to them, what is the new mean? (a) 25 (b) 26 (c) 22 (d) 24
  24. 24.What is the mode of 15, 14, 8, 8, 18, 18 and 18? (a) 8 (b) 14 (c) 15 (d) 18
  25. 25.What is the mode of 15, 4, 15, 16, 15, 4 and 6? (a) 15 (b) 4 (c) 6 (d) 16
  26. 26.The mean of 8 numbers is 10. When the number 1 is added to them, what is the new mean? (a) 9 (b) 8 (c) 11 (d) 10
  27. 27.The mean of 6 numbers is 32. When the number 4 is added to them, what is the new mean? (a) 29 (b) 18 (c) 32 (d) 28
  28. 28.The mean of 5 numbers is 18. When the number 30 is added to them, what is the new mean? (a) 20 (b) 24 (c) 18 (d) 21
  29. 29.What is the mode of 4, 7, 7, 6, 17, 7 and 17? (a) 7 (b) 17 (c) 4 (d) 6
  30. 30.What is the median of 22, 8, 37, 23, 35, 13 and 6? (a) 22 (b) 23 (c) 13 (d) 21
  31. 31.What is the mode of 18, 5, 13, 1, 18, 5 and 18? (a) 5 (b) 13 (c) 18 (d) 1
  32. 32.What is the mean of 17, 2, 11, 5, 8 and 11? (a) 10 (b) 9 (c) 8 (d) 11
  33. 33.The mean of 5 numbers is 36. When the number 18 is added to them, what is the new mean? (a) 34 (b) 36 (c) 33 (d) 27
  34. 34.What is the mode of 15, 10, 16, 15, 17, 15 and 17? (a) 17 (b) 16 (c) 10 (d) 15
  35. 35.The mean of 3 numbers is 32. When the number 48 is added to them, what is the new mean? (a) 40 (b) 32 (c) 36 (d) 37
  36. 36.The mean of 8 numbers is 25. When the number 34 is added to them, what is the new mean? (a) 28 (b) 27 (c) 26 (d) 25
  37. 37.The mean of 4 numbers is 17. When the number 37 is added to them, what is the new mean? (a) 22 (b) 27 (c) 17 (d) 21
  38. 38.What is the mean of 14, 20, 8, 15 and 13? (a) 13 (b) 14 (c) 16 (d) 15
  39. 39.What is the mean of 12, 20, 12 and 8? (a) 13 (b) 12 (c) 15 (d) 14
  40. 40.What is the mean of 12, 9, 4, 6 and 9? (a) 10 (b) 8 (c) 9 (d) 7

Answer key

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

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