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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 138 · 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 median of 3, 2, 28, 20 and 23? (a) 20 (b) 3 (c) 28 (d) 23
  2. 2.The mean of 8 numbers is 27. When the number 63 is added to them, what is the new mean? (a) 45 (b) 32 (c) 31 (d) 27
  3. 3.What is the median of 25, 34, 10, 2 and 14? (a) 25 (b) 14 (c) 10 (d) 17
  4. 4.What is the mean of 4, 12, 8 and 20? (a) 12 (b) 10 (c) 13 (d) 11
  5. 5.The mean of 3 numbers is 23. When the number 15 is added to them, what is the new mean? (a) 19 (b) 21 (c) 22 (d) 23
  6. 6.What is the mode of 14, 1, 14, 13, 14, 9 and 9? (a) 13 (b) 14 (c) 9 (d) 1
  7. 7.What is the median of 14, 17, 37, 40 and 30? (a) 37 (b) 31 (c) 30 (d) 17
  8. 8.What is the mode of 14, 14, 12, 1, 14, 12 and 5? (a) 12 (b) 5 (c) 14 (d) 1
  9. 9.What is the mean of 8, 2, 5 and 17? (a) 9 (b) 7 (c) 8 (d) 10
  10. 10.The mean of 3 numbers is 36. When the number 28 is added to them, what is the new mean? (a) 32 (b) 34 (c) 35 (d) 36
  11. 11.What is the mode of 3, 7, 3, 7, 5, 19 and 7? (a) 7 (b) 5 (c) 19 (d) 3
  12. 12.The mean of 6 numbers is 24. When the number 38 is added to them, what is the new mean? (a) 24 (b) 27 (c) 31 (d) 26
  13. 13.What is the mean of 2, 7, 3, 14, 2 and 20? (a) 7 (b) 8 (c) 10 (d) 9
  14. 14.The mean of 7 numbers is 38. When the number 14 is added to them, what is the new mean? (a) 26 (b) 35 (c) 38 (d) 36
  15. 15.The mean of 5 numbers is 33. When the number 45 is added to them, what is the new mean? (a) 33 (b) 39 (c) 35 (d) 36
  16. 16.What is the mean of 6, 14, 2, 3 and 10? (a) 6 (b) 7 (c) 9 (d) 8
  17. 17.The mean of 3 numbers is 30. When the number 22 is added to them, what is the new mean? (a) 30 (b) 28 (c) 26 (d) 29
  18. 18.The mean of 5 numbers is 34. When the number 28 is added to them, what is the new mean? (a) 34 (b) 33 (c) 32 (d) 31
  19. 19.What is the mean of 17, 2, 8, 12 and 11? (a) 9 (b) 10 (c) 11 (d) 12
  20. 20.What is the mode of 2, 13, 3, 13, 3, 1 and 3? (a) 3 (b) 13 (c) 2 (d) 1
  21. 21.What is the mode of 1, 5, 5, 1, 20, 19 and 1? (a) 19 (b) 1 (c) 20 (d) 5
  22. 22.What is the mode of 8, 8, 17, 11, 16, 17 and 17? (a) 17 (b) 8 (c) 16 (d) 11
  23. 23.The mean of 5 numbers is 24. When the number 6 is added to them, what is the new mean? (a) 22 (b) 21 (c) 15 (d) 24
  24. 24.What is the mean of 2, 2, 20, 20 and 6? (a) 12 (b) 10 (c) 9 (d) 11
  25. 25.What is the median of 39, 30, 23, 24, 32, 13 and 37? (a) 31 (b) 24 (c) 30 (d) 32
  26. 26.What is the mode of 6, 17, 6, 17, 4, 7 and 17? (a) 7 (b) 17 (c) 6 (d) 4
  27. 27.What is the mean of 10, 2, 3, 16, 2 and 15? (a) 8 (b) 7 (c) 10 (d) 9
  28. 28.What is the mean of 3, 15, 3, 13, 16 and 10? (a) 10 (b) 12 (c) 9 (d) 11
  29. 29.What is the median of 31, 15, 27, 8 and 4? (a) 17 (b) 27 (c) 15 (d) 8
  30. 30.What is the median of 18, 28, 37, 33 and 3? (a) 37 (b) 28 (c) 18 (d) 33
  31. 31.What is the mode of 10, 2, 4, 9, 2, 9 and 2? (a) 10 (b) 4 (c) 9 (d) 2
  32. 32.What is the mode of 7, 7, 3, 3, 9, 10 and 3? (a) 3 (b) 7 (c) 9 (d) 10
  33. 33.What is the median of 3, 35, 26, 15 and 16? (a) 16 (b) 19 (c) 15 (d) 26
  34. 34.The mean of 7 numbers is 34. When the number 26 is added to them, what is the new mean? (a) 30 (b) 34 (c) 32 (d) 33
  35. 35.What is the median of 9, 28, 35, 19 and 33? (a) 28 (b) 35 (c) 19 (d) 33
  36. 36.The mean of 9 numbers is 11. When the number 51 is added to them, what is the new mean? (a) 31 (b) 16 (c) 11 (d) 15
  37. 37.What is the mode of 19, 19, 18, 19, 11, 11 and 8? (a) 19 (b) 8 (c) 11 (d) 18
  38. 38.What is the mean of 5, 18, 6 and 19? (a) 16 (b) 12 (c) 13 (d) 11
  39. 39.The mean of 3 numbers is 32. When the number 28 is added to them, what is the new mean? (a) 31 (b) 32 (c) 30 (d) 33
  40. 40.What is the mean of 12, 9, 16, 2, 4 and 5? (a) 9 (b) 8 (c) 10 (d) 7

Answer key

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

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