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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 381 · 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 4 numbers is 34. When the number 19 is added to them, what is the new mean? (a) 34 (b) 32 (c) 31 (d) 30
  2. 2.What is the median of 1, 11, 18, 6, 15, 9 and 10? (a) 9 (b) 11 (c) 6 (d) 10
  3. 3.What is the mean of 9, 20, 20, 16, 19 and 6? (a) 18 (b) 16 (c) 14 (d) 15
  4. 4.What is the mean of 16, 4, 13, 5, 5 and 5? (a) 8 (b) 9 (c) 7 (d) 10
  5. 5.What is the mode of 3, 20, 20, 9, 20, 2 and 9? (a) 3 (b) 2 (c) 20 (d) 9
  6. 6.The mean of 5 numbers is 29. When the number 35 is added to them, what is the new mean? (a) 29 (b) 30 (c) 31 (d) 32
  7. 7.What is the median of 5, 22, 4, 2 and 11? (a) 11 (b) 4 (c) 6 (d) 5
  8. 8.What is the median of 40, 7, 1, 14 and 19? (a) 14 (b) 1 (c) 7 (d) 19
  9. 9.What is the median of 8, 39, 24, 32 and 14? (a) 25 (b) 24 (c) 14 (d) 32
  10. 10.What is the median of 40, 8, 35, 9 and 19? (a) 9 (b) 35 (c) 20 (d) 19
  11. 11.The mean of 6 numbers is 33. When the number 54 is added to them, what is the new mean? (a) 37 (b) 35 (c) 36 (d) 33
  12. 12.What is the median of 19, 1, 38, 9 and 30? (a) 19 (b) 9 (c) 30 (d) 38
  13. 13.What is the median of 22, 11, 14, 21, 27, 3 and 23? (a) 21 (b) 22 (c) 14 (d) 20
  14. 14.The mean of 4 numbers is 31. When the number 46 is added to them, what is the new mean? (a) 34 (b) 31 (c) 35 (d) 33
  15. 15.What is the mean of 3, 10, 9, 19 and 19? (a) 12 (b) 10 (c) 13 (d) 15
  16. 16.What is the mean of 20, 15, 18, 14 and 18? (a) 19 (b) 18 (c) 17 (d) 16
  17. 17.What is the mean of 3, 20, 15 and 14? (a) 15 (b) 14 (c) 13 (d) 12
  18. 18.What is the median of 20, 33, 9, 17 and 39? (a) 33 (b) 9 (c) 17 (d) 20
  19. 19.The mean of 5 numbers is 35. When the number 41 is added to them, what is the new mean? (a) 35 (b) 36 (c) 38 (d) 37
  20. 20.The mean of 7 numbers is 36. When the number 12 is added to them, what is the new mean? (a) 33 (b) 34 (c) 36 (d) 24
  21. 21.What is the median of 17, 24, 10, 9 and 33? (a) 24 (b) 18 (c) 17 (d) 10
  22. 22.What is the median of 34, 39, 1, 10 and 26? (a) 26 (b) 22 (c) 1 (d) 34
  23. 23.What is the median of 3, 2, 22, 10 and 40? (a) 22 (b) 10 (c) 3 (d) 11
  24. 24.What is the median of 5, 17, 4, 10 and 21? (a) 17 (b) 5 (c) 4 (d) 10
  25. 25.What is the mean of 13, 8, 17 and 2? (a) 10 (b) 11 (c) 9 (d) 8
  26. 26.What is the mean of 4, 3, 6 and 11? (a) 6 (b) 8 (c) 5 (d) 7
  27. 27.What is the mode of 2, 18, 2, 4, 15, 18 and 18? (a) 2 (b) 15 (c) 18 (d) 4
  28. 28.What is the mean of 12, 17, 9 and 18? (a) 15 (b) 16 (c) 14 (d) 13
  29. 29.What is the mean of 17, 19, 9 and 19? (a) 15 (b) 18 (c) 17 (d) 16
  30. 30.What is the mode of 13, 9, 1, 7, 1, 13 and 13? (a) 7 (b) 9 (c) 1 (d) 13
  31. 31.What is the mode of 6, 6, 2, 14, 6, 15 and 14? (a) 6 (b) 2 (c) 14 (d) 15
  32. 32.What is the mean of 16, 4, 18, 8 and 19? (a) 15 (b) 14 (c) 12 (d) 13
  33. 33.What is the mode of 8, 11, 10, 11, 4, 4 and 4? (a) 11 (b) 10 (c) 8 (d) 4
  34. 34.What is the mode of 16, 16, 18, 12, 10, 16 and 10? (a) 10 (b) 12 (c) 18 (d) 16
  35. 35.What is the mode of 16, 1, 6, 1, 9, 9 and 1? (a) 6 (b) 16 (c) 1 (d) 9
  36. 36.What is the mode of 2, 11, 15, 1, 1, 2 and 1? (a) 15 (b) 2 (c) 11 (d) 1
  37. 37.The mean of 7 numbers is 22. When the number 14 is added to them, what is the new mean? (a) 18 (b) 20 (c) 21 (d) 22
  38. 38.What is the mean of 20, 2, 12 and 18? (a) 13 (b) 15 (c) 12 (d) 14
  39. 39.What is the mean of 17, 10, 11, 3 and 19? (a) 13 (b) 15 (c) 10 (d) 12
  40. 40.What is the mode of 15, 4, 16, 16, 4, 16 and 6? (a) 4 (b) 15 (c) 16 (d) 6

Answer key

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

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