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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 280 · 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 19, 4, 4, 17, 10, 10 and 10? (a) 4 (b) 17 (c) 10 (d) 19
  2. 2.What is the mode of 6, 8, 18, 20, 20, 18 and 20? (a) 20 (b) 18 (c) 8 (d) 6
  3. 3.What is the median of 6, 5, 22, 27, 39, 26 and 18? (a) 22 (b) 18 (c) 26 (d) 27
  4. 4.What is the median of 38, 21, 1, 2, 32, 3 and 34? (a) 2 (b) 3 (c) 21 (d) 32
  5. 5.What is the mode of 2, 19, 18, 2, 18, 15 and 2? (a) 19 (b) 15 (c) 2 (d) 18
  6. 6.The mean of 7 numbers is 11. When the number 35 is added to them, what is the new mean? (a) 23 (b) 14 (c) 11 (d) 15
  7. 7.The mean of 3 numbers is 28. When the number 36 is added to them, what is the new mean? (a) 31 (b) 28 (c) 32 (d) 30
  8. 8.What is the mean of 4, 13, 8 and 23? (a) 12 (b) 13 (c) 11 (d) 16
  9. 9.What is the median of 5, 21, 10, 9 and 7? (a) 7 (b) 8 (c) 9 (d) 10
  10. 10.What is the mode of 4, 3, 3, 4, 12, 5 and 3? (a) 5 (b) 12 (c) 3 (d) 4
  11. 11.What is the mode of 11, 18, 2, 2, 17, 17 and 17? (a) 17 (b) 11 (c) 18 (d) 2
  12. 12.What is the median of 15, 31, 11, 23 and 17? (a) 15 (b) 23 (c) 11 (d) 17
  13. 13.The mean of 3 numbers is 23. When the number 7 is added to them, what is the new mean? (a) 15 (b) 19 (c) 23 (d) 20
  14. 14.What is the median of 39, 26, 27, 28, 23, 35 and 4? (a) 29 (b) 26 (c) 27 (d) 28
  15. 15.What is the mean of 12, 12, 11, 19, 3 and 21? (a) 12 (b) 15 (c) 14 (d) 13
  16. 16.The mean of 4 numbers is 18. When the number 33 is added to them, what is the new mean? (a) 20 (b) 21 (c) 22 (d) 18
  17. 17.What is the median of 3, 39, 7, 12, 23, 34 and 2? (a) 7 (b) 12 (c) 23 (d) 13
  18. 18.What is the median of 36, 12, 37, 30, 10, 4 and 21? (a) 21 (b) 12 (c) 22 (d) 30
  19. 19.What is the median of 36, 8, 10, 17, 5, 31 and 3? (a) 11 (b) 17 (c) 8 (d) 10
  20. 20.What is the mode of 11, 13, 16, 3, 13, 13 and 3? (a) 16 (b) 13 (c) 3 (d) 11
  21. 21.The mean of 6 numbers is 32. When the number 60 is added to them, what is the new mean? (a) 32 (b) 37 (c) 46 (d) 36
  22. 22.What is the median of 30, 28, 38, 40 and 3? (a) 28 (b) 30 (c) 31 (d) 38
  23. 23.What is the mode of 2, 5, 20, 19, 19, 19 and 2? (a) 2 (b) 5 (c) 20 (d) 19
  24. 24.What is the mode of 20, 17, 20, 6, 6, 14 and 20? (a) 20 (b) 14 (c) 17 (d) 6
  25. 25.What is the median of 21, 22, 31, 40, 15, 36 and 37? (a) 40 (b) 22 (c) 36 (d) 31
  26. 26.What is the mean of 12, 3, 7 and 6? (a) 7 (b) 6 (c) 9 (d) 8
  27. 27.What is the mean of 11, 10, 11 and 20? (a) 14 (b) 15 (c) 12 (d) 13
  28. 28.What is the mean of 2, 16, 18, 12, 20 and 10? (a) 12 (b) 14 (c) 13 (d) 15
  29. 29.The mean of 4 numbers is 34. When the number 24 is added to them, what is the new mean? (a) 33 (b) 32 (c) 29 (d) 34
  30. 30.What is the mean of 12, 4, 7, 14, 12 and 23? (a) 13 (b) 11 (c) 12 (d) 14
  31. 31.What is the median of 13, 31, 22, 34, 24, 3 and 26? (a) 34 (b) 22 (c) 24 (d) 26
  32. 32.What is the median of 1, 25, 9, 3, 28, 27 and 15? (a) 9 (b) 25 (c) 15 (d) 3
  33. 33.What is the mean of 4, 5, 18, 12, 10 and 5? (a) 9 (b) 11 (c) 8 (d) 10
  34. 34.What is the mean of 13, 12, 6, 8, 6 and 21? (a) 13 (b) 11 (c) 10 (d) 12
  35. 35.The mean of 9 numbers is 17. When the number 27 is added to them, what is the new mean? (a) 19 (b) 22 (c) 18 (d) 17
  36. 36.What is the mean of 17, 20, 18 and 17? (a) 17 (b) 18 (c) 19 (d) 24
  37. 37.The mean of 9 numbers is 29. When the number 19 is added to them, what is the new mean? (a) 28 (b) 24 (c) 27 (d) 29
  38. 38.The mean of 3 numbers is 27. When the number 19 is added to them, what is the new mean? (a) 23 (b) 25 (c) 27 (d) 26
  39. 39.What is the mean of 4, 7, 6 and 19? (a) 9 (b) 12 (c) 8 (d) 10
  40. 40.The mean of 3 numbers is 23. When the number 39 is added to them, what is the new mean? (a) 28 (b) 23 (c) 27 (d) 31

Answer key

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

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