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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 379 · 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 3 numbers is 17. When the number 5 is added to them, what is the new mean? (a) 15 (b) 14 (c) 11 (d) 17
  2. 2.What is the median of 31, 26, 9, 40, 36, 21 and 17? (a) 31 (b) 26 (c) 21 (d) 40
  3. 3.What is the mode of 12, 1, 14, 1, 10, 14 and 1? (a) 14 (b) 1 (c) 10 (d) 12
  4. 4.What is the mode of 18, 18, 4, 4, 3, 8 and 18? (a) 4 (b) 3 (c) 8 (d) 18
  5. 5.The mean of 4 numbers is 23. When the number 8 is added to them, what is the new mean? (a) 20 (b) 19 (c) 21 (d) 23
  6. 6.What is the mode of 11, 11, 9, 17, 4, 11 and 17? (a) 4 (b) 9 (c) 17 (d) 11
  7. 7.What is the mode of 11, 3, 3, 9, 12, 12 and 12? (a) 3 (b) 12 (c) 11 (d) 9
  8. 8.What is the median of 26, 9, 2, 22, 8, 31 and 18? (a) 19 (b) 22 (c) 18 (d) 9
  9. 9.What is the mean of 17, 17, 6, 5 and 15? (a) 12 (b) 13 (c) 15 (d) 10
  10. 10.What is the median of 24, 20, 2, 5, 6, 1 and 17? (a) 7 (b) 5 (c) 17 (d) 6
  11. 11.What is the mode of 9, 14, 3, 9, 12, 9 and 14? (a) 3 (b) 9 (c) 14 (d) 12
  12. 12.The mean of 9 numbers is 32. When the number 62 is added to them, what is the new mean? (a) 36 (b) 35 (c) 32 (d) 47
  13. 13.The mean of 3 numbers is 15. When the number 23 is added to them, what is the new mean? (a) 19 (b) 18 (c) 15 (d) 17
  14. 14.What is the mode of 14, 11, 4, 11, 14, 14 and 15? (a) 15 (b) 14 (c) 11 (d) 4
  15. 15.What is the median of 26, 20, 12, 9, 15, 38 and 11? (a) 20 (b) 15 (c) 12 (d) 9
  16. 16.What is the median of 5, 27, 17, 28, 18, 20 and 22? (a) 18 (b) 28 (c) 20 (d) 22
  17. 17.What is the mode of 4, 4, 8, 4, 8, 9 and 13? (a) 4 (b) 9 (c) 13 (d) 8
  18. 18.What is the median of 3, 38, 9, 15, 17, 1 and 10? (a) 10 (b) 15 (c) 9 (d) 11
  19. 19.What is the mode of 7, 16, 16, 1, 16, 1 and 12? (a) 7 (b) 12 (c) 16 (d) 1
  20. 20.What is the mean of 3, 9, 20 and 4? (a) 12 (b) 10 (c) 8 (d) 9
  21. 21.What is the median of 26, 29, 3, 10 and 16? (a) 26 (b) 3 (c) 16 (d) 10
  22. 22.What is the mode of 10, 11, 11, 6, 6, 6 and 18? (a) 6 (b) 10 (c) 18 (d) 11
  23. 23.What is the mean of 18, 6, 20, 10 and 6? (a) 15 (b) 10 (c) 12 (d) 13
  24. 24.The mean of 5 numbers is 39. When the number 15 is added to them, what is the new mean? (a) 35 (b) 39 (c) 27 (d) 36
  25. 25.What is the mode of 7, 20, 20, 7, 20, 1 and 6? (a) 20 (b) 7 (c) 1 (d) 6
  26. 26.The mean of 7 numbers is 35. When the number 19 is added to them, what is the new mean? (a) 33 (b) 34 (c) 35 (d) 27
  27. 27.What is the median of 25, 17, 8, 26, 13, 36 and 19? (a) 25 (b) 26 (c) 19 (d) 17
  28. 28.What is the mean of 2, 18, 14, 9, 2 and 15? (a) 12 (b) 10 (c) 9 (d) 11
  29. 29.The mean of 7 numbers is 18. When the number 2 is added to them, what is the new mean? (a) 18 (b) 10 (c) 17 (d) 16
  30. 30.What is the median of 34, 37, 15, 26, 27, 18 and 38? (a) 28 (b) 27 (c) 34 (d) 26
  31. 31.What is the median of 12, 8, 16, 5, 29, 1 and 26? (a) 5 (b) 16 (c) 12 (d) 8
  32. 32.What is the mode of 4, 10, 19, 19, 3, 19 and 10? (a) 19 (b) 4 (c) 10 (d) 3
  33. 33.What is the mean of 3, 5, 20 and 8? (a) 10 (b) 9 (c) 8 (d) 12
  34. 34.What is the mean of 7, 20, 14, 12 and 7? (a) 12 (b) 15 (c) 10 (d) 13
  35. 35.What is the median of 29, 11, 2, 17, 4, 14 and 3? (a) 17 (b) 11 (c) 14 (d) 4
  36. 36.What is the mode of 15, 15, 14, 4, 14, 19 and 15? (a) 4 (b) 19 (c) 14 (d) 15
  37. 37.What is the mode of 8, 12, 12, 20, 6, 6 and 6? (a) 6 (b) 8 (c) 12 (d) 20
  38. 38.The mean of 4 numbers is 18. When the number 33 is added to them, what is the new mean? (a) 18 (b) 22 (c) 20 (d) 21
  39. 39.What is the median of 2, 5, 1, 32, 4, 38 and 15? (a) 5 (b) 15 (c) 4 (d) 32
  40. 40.What is the mode of 19, 19, 12, 14, 13, 13 and 13? (a) 19 (b) 14 (c) 12 (d) 13

Answer key

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

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