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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 552 · 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 7 numbers is 27. When the number 43 is added to them, what is the new mean? (a) 27 (b) 29 (c) 30 (d) 35
  2. 2.What is the mean of 10, 7, 9, 6 and 3? (a) 6 (b) 9 (c) 7 (d) 8
  3. 3.What is the mode of 16, 4, 1, 4, 10, 1 and 1? (a) 4 (b) 16 (c) 10 (d) 1
  4. 4.What is the mode of 8, 15, 11, 2, 15, 8 and 8? (a) 15 (b) 2 (c) 11 (d) 8
  5. 5.What is the mode of 16, 7, 17, 10, 7, 17 and 17? (a) 10 (b) 7 (c) 17 (d) 16
  6. 6.What is the mean of 18, 8, 12 and 10? (a) 16 (b) 12 (c) 11 (d) 13
  7. 7.What is the mode of 13, 11, 17, 17, 5, 17 and 13? (a) 17 (b) 11 (c) 5 (d) 13
  8. 8.What is the mode of 13, 20, 1, 13, 18, 13 and 1? (a) 20 (b) 13 (c) 18 (d) 1
  9. 9.What is the mean of 4, 9, 2, 19, 2 and 24? (a) 11 (b) 12 (c) 9 (d) 10
  10. 10.What is the median of 34, 18, 1, 25, 15, 4 and 8? (a) 18 (b) 25 (c) 15 (d) 8
  11. 11.What is the median of 15, 22, 19, 26, 7, 5 and 28? (a) 22 (b) 15 (c) 19 (d) 26
  12. 12.What is the mean of 10, 2, 2, 14, 4 and 16? (a) 8 (b) 9 (c) 7 (d) 10
  13. 13.What is the median of 4, 9, 35, 31 and 33? (a) 9 (b) 33 (c) 35 (d) 31
  14. 14.The mean of 3 numbers is 20. When the number 8 is added to them, what is the new mean? (a) 18 (b) 20 (c) 14 (d) 17
  15. 15.The mean of 9 numbers is 24. When the number 64 is added to them, what is the new mean? (a) 44 (b) 24 (c) 28 (d) 29
  16. 16.What is the median of 34, 2, 20, 32, 24, 16 and 5? (a) 20 (b) 32 (c) 24 (d) 19
  17. 17.The mean of 9 numbers is 22. When the number 32 is added to them, what is the new mean? (a) 22 (b) 24 (c) 23 (d) 27
  18. 18.What is the mean of 9, 13, 5 and 5? (a) 10 (b) 7 (c) 8 (d) 9
  19. 19.What is the mean of 5, 8, 11, 20 and 6? (a) 11 (b) 9 (c) 10 (d) 12
  20. 20.What is the mean of 20, 15, 5 and 8? (a) 16 (b) 13 (c) 11 (d) 12
  21. 21.What is the median of 22, 7, 23, 27, 6, 31 and 37? (a) 23 (b) 24 (c) 22 (d) 27
  22. 22.What is the mode of 5, 2, 18, 2, 13, 5 and 2? (a) 5 (b) 2 (c) 13 (d) 18
  23. 23.The mean of 4 numbers is 30. When the number 15 is added to them, what is the new mean? (a) 30 (b) 27 (c) 28 (d) 26
  24. 24.The mean of 6 numbers is 29. When the number 50 is added to them, what is the new mean? (a) 32 (b) 29 (c) 31 (d) 33
  25. 25.What is the mean of 20, 2, 13, 9, 5 and 17? (a) 12 (b) 10 (c) 13 (d) 11
  26. 26.What is the median of 18, 10, 1, 19 and 29? (a) 18 (b) 19 (c) 1 (d) 10
  27. 27.What is the mean of 14, 5, 9, 7 and 5? (a) 8 (b) 10 (c) 7 (d) 9
  28. 28.What is the mean of 3, 20, 5 and 4? (a) 10 (b) 8 (c) 7 (d) 9
  29. 29.What is the mode of 7, 2, 19, 2, 19, 2 and 12? (a) 2 (b) 19 (c) 12 (d) 7
  30. 30.What is the median of 28, 3, 30, 40 and 12? (a) 29 (b) 28 (c) 30 (d) 12
  31. 31.What is the median of 20, 23, 1, 25, 11, 33 and 26? (a) 23 (b) 25 (c) 24 (d) 20
  32. 32.What is the mean of 2, 4, 13 and 9? (a) 8 (b) 9 (c) 7 (d) 6
  33. 33.What is the median of 26, 2, 7, 18, 27, 9 and 25? (a) 25 (b) 9 (c) 19 (d) 18
  34. 34.What is the median of 11, 19, 31, 26 and 24? (a) 26 (b) 31 (c) 19 (d) 24
  35. 35.The mean of 5 numbers is 34. When the number 22 is added to them, what is the new mean? (a) 28 (b) 34 (c) 33 (d) 32
  36. 36.The mean of 3 numbers is 14. When the number 2 is added to them, what is the new mean? (a) 12 (b) 11 (c) 14 (d) 8
  37. 37.The mean of 3 numbers is 24. When the number 28 is added to them, what is the new mean? (a) 25 (b) 24 (c) 27 (d) 26
  38. 38.What is the mode of 4, 15, 18, 4, 4, 16 and 16? (a) 18 (b) 15 (c) 16 (d) 4
  39. 39.What is the mode of 2, 6, 6, 14, 10, 6 and 2? (a) 2 (b) 10 (c) 6 (d) 14
  40. 40.What is the mean of 17, 2, 10 and 19? (a) 16 (b) 13 (c) 11 (d) 12

Answer key

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

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