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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 340 · 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 6 numbers is 21. When the number 35 is added to them, what is the new mean? (a) 21 (b) 23 (c) 24 (d) 28
  2. 2.What is the mode of 14, 10, 17, 14, 12, 17 and 17? (a) 10 (b) 14 (c) 12 (d) 17
  3. 3.What is the mode of 14, 2, 5, 2, 2, 5 and 6? (a) 6 (b) 5 (c) 2 (d) 14
  4. 4.The mean of 7 numbers is 28. When the number 4 is added to them, what is the new mean? (a) 26 (b) 28 (c) 25 (d) 16
  5. 5.The mean of 4 numbers is 10. When the number 5 is added to them, what is the new mean? (a) 8 (b) 11 (c) 10 (d) 9
  6. 6.What is the mean of 7, 19, 17 and 21? (a) 15 (b) 16 (c) 17 (d) 18
  7. 7.The mean of 3 numbers is 19. When the number 7 is added to them, what is the new mean? (a) 19 (b) 13 (c) 16 (d) 17
  8. 8.What is the median of 4, 39, 29, 13 and 11? (a) 29 (b) 11 (c) 14 (d) 13
  9. 9.What is the mean of 9, 7, 12, 6 and 16? (a) 12 (b) 11 (c) 9 (d) 10
  10. 10.The mean of 7 numbers is 30. When the number 6 is added to them, what is the new mean? (a) 18 (b) 27 (c) 30 (d) 28
  11. 11.What is the median of 18, 14, 16, 25 and 32? (a) 18 (b) 16 (c) 21 (d) 25
  12. 12.What is the mode of 8, 10, 8, 9, 9, 9 and 17? (a) 10 (b) 8 (c) 17 (d) 9
  13. 13.The mean of 7 numbers is 20. When the number 12 is added to them, what is the new mean? (a) 16 (b) 20 (c) 18 (d) 19
  14. 14.What is the mode of 6, 9, 9, 8, 17, 6 and 6? (a) 9 (b) 17 (c) 8 (d) 6
  15. 15.What is the median of 16, 37, 29, 14, 2, 4 and 34? (a) 16 (b) 29 (c) 17 (d) 14
  16. 16.The mean of 7 numbers is 39. When the number 63 is added to them, what is the new mean? (a) 43 (b) 39 (c) 42 (d) 51
  17. 17.What is the mean of 4, 10, 18, 15 and 3? (a) 10 (b) 12 (c) 9 (d) 11
  18. 18.What is the median of 29, 27, 24, 12 and 21? (a) 25 (b) 27 (c) 24 (d) 21
  19. 19.The mean of 7 numbers is 31. When the number 63 is added to them, what is the new mean? (a) 36 (b) 35 (c) 31 (d) 47
  20. 20.What is the mean of 9, 20, 13, 2 and 16? (a) 15 (b) 13 (c) 10 (d) 12
  21. 21.What is the mean of 3, 18, 6 and 21? (a) 13 (b) 11 (c) 16 (d) 12
  22. 22.The mean of 9 numbers is 11. When the number 41 is added to them, what is the new mean? (a) 11 (b) 26 (c) 14 (d) 15
  23. 23.What is the median of 11, 21, 10, 5, 9, 39 and 33? (a) 10 (b) 21 (c) 5 (d) 11
  24. 24.What is the median of 35, 19, 11, 34, 37, 30 and 10? (a) 19 (b) 30 (c) 34 (d) 31
  25. 25.What is the median of 2, 13, 5, 22, 40, 20 and 31? (a) 20 (b) 13 (c) 22 (d) 19
  26. 26.What is the mode of 5, 5, 3, 3, 14, 4 and 3? (a) 5 (b) 4 (c) 14 (d) 3
  27. 27.The mean of 9 numbers is 32. When the number 62 is added to them, what is the new mean? (a) 32 (b) 47 (c) 35 (d) 36
  28. 28.What is the mode of 4, 4, 15, 11, 11, 5 and 4? (a) 4 (b) 11 (c) 15 (d) 5
  29. 29.The mean of 7 numbers is 19. When the number 51 is added to them, what is the new mean? (a) 35 (b) 23 (c) 19 (d) 24
  30. 30.The mean of 4 numbers is 30. When the number 45 is added to them, what is the new mean? (a) 34 (b) 30 (c) 33 (d) 32
  31. 31.What is the mean of 8, 2, 2 and 4? (a) 5 (b) 4 (c) 6 (d) 3
  32. 32.What is the median of 8, 10, 9, 21, 19, 13 and 36? (a) 21 (b) 10 (c) 19 (d) 13
  33. 33.What is the mean of 8, 19, 19 and 14? (a) 16 (b) 12 (c) 15 (d) 20
  34. 34.What is the mean of 18, 3, 15 and 20? (a) 13 (b) 14 (c) 16 (d) 15
  35. 35.What is the median of 22, 17, 5, 19 and 40? (a) 17 (b) 19 (c) 22 (d) 5
  36. 36.The mean of 6 numbers is 10. When the number 31 is added to them, what is the new mean? (a) 10 (b) 14 (c) 12 (d) 13
  37. 37.The mean of 9 numbers is 33. When the number 53 is added to them, what is the new mean? (a) 43 (b) 35 (c) 36 (d) 33
  38. 38.What is the mean of 2, 9, 12 and 13? (a) 10 (b) 12 (c) 8 (d) 9
  39. 39.What is the mode of 4, 17, 17, 17, 9, 13 and 13? (a) 9 (b) 4 (c) 17 (d) 13
  40. 40.What is the mode of 13, 16, 16, 16, 17, 13 and 10? (a) 16 (b) 17 (c) 13 (d) 10

Answer key

  1. 23
  2. 17
  3. 2
  4. 25
  5. 9
  6. 16
  7. 16
  8. 13
  9. 10
  10. 27
  11. 18
  12. 9
  13. 19
  14. 6
  15. 16
  16. 42
  17. 10
  18. 24
  19. 35
  20. 12
  21. 12
  22. 14
  23. 11
  24. 30
  25. 20
  26. 3
  27. 35
  28. 4
  29. 23
  30. 33
  31. 4
  32. 13
  33. 15
  34. 14
  35. 19
  36. 13
  37. 35
  38. 9
  39. 17
  40. 16

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