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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 686 · 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 26. When the number 38 is added to them, what is the new mean? (a) 26 (b) 29 (c) 30 (d) 32
  2. 2.What is the mode of 19, 19, 6, 7, 19, 12 and 6? (a) 19 (b) 7 (c) 12 (d) 6
  3. 3.The mean of 7 numbers is 20. When the number 52 is added to them, what is the new mean? (a) 36 (b) 24 (c) 20 (d) 25
  4. 4.What is the mode of 19, 19, 5, 16, 19, 4 and 16? (a) 16 (b) 4 (c) 19 (d) 5
  5. 5.The mean of 4 numbers is 17. When the number 7 is added to them, what is the new mean? (a) 16 (b) 12 (c) 15 (d) 17
  6. 6.The mean of 5 numbers is 34. When the number 58 is added to them, what is the new mean? (a) 34 (b) 46 (c) 39 (d) 38
  7. 7.What is the mean of 6, 3, 16, 5, 17 and 13? (a) 9 (b) 11 (c) 10 (d) 12
  8. 8.What is the median of 34, 28, 13, 39 and 32? (a) 28 (b) 32 (c) 13 (d) 34
  9. 9.What is the mean of 18, 19, 7 and 20? (a) 15 (b) 18 (c) 17 (d) 16
  10. 10.What is the mean of 17, 7, 10 and 14? (a) 13 (b) 16 (c) 12 (d) 11
  11. 11.What is the mean of 14, 7, 18, 4, 7 and 4? (a) 8 (b) 10 (c) 11 (d) 9
  12. 12.The mean of 3 numbers is 13. When the number 29 is added to them, what is the new mean? (a) 13 (b) 18 (c) 17 (d) 21
  13. 13.What is the mode of 4, 10, 20, 20, 14, 4 and 4? (a) 4 (b) 10 (c) 14 (d) 20
  14. 14.What is the mean of 14, 13, 15, 2, 10 and 24? (a) 13 (b) 12 (c) 15 (d) 14
  15. 15.What is the median of 19, 31, 25, 14, 39, 8 and 9? (a) 20 (b) 19 (c) 14 (d) 25
  16. 16.What is the median of 4, 6, 27, 17, 26, 31 and 24? (a) 25 (b) 24 (c) 26 (d) 17
  17. 17.What is the mean of 13, 12, 7, 10, 9 and 3? (a) 10 (b) 9 (c) 8 (d) 11
  18. 18.What is the mean of 16, 4, 17, 17 and 21? (a) 17 (b) 15 (c) 16 (d) 14
  19. 19.The mean of 9 numbers is 32. When the number 22 is added to them, what is the new mean? (a) 30 (b) 27 (c) 31 (d) 32
  20. 20.The mean of 4 numbers is 28. When the number 18 is added to them, what is the new mean? (a) 23 (b) 26 (c) 27 (d) 28
  21. 21.The mean of 6 numbers is 15. When the number 1 is added to them, what is the new mean? (a) 13 (b) 15 (c) 8 (d) 14
  22. 22.What is the mode of 1, 9, 2, 2, 1, 10 and 1? (a) 1 (b) 9 (c) 10 (d) 2
  23. 23.What is the median of 15, 28, 21, 16, 34, 22 and 23? (a) 22 (b) 23 (c) 16 (d) 21
  24. 24.What is the median of 5, 33, 40, 2 and 3? (a) 33 (b) 40 (c) 3 (d) 5
  25. 25.What is the mean of 2, 16, 14, 20, 20 and 12? (a) 13 (b) 14 (c) 12 (d) 15
  26. 26.What is the mean of 7, 6, 9, 14 and 4? (a) 8 (b) 10 (c) 9 (d) 7
  27. 27.The mean of 7 numbers is 33. When the number 25 is added to them, what is the new mean? (a) 32 (b) 33 (c) 31 (d) 29
  28. 28.What is the mean of 14, 9, 5 and 16? (a) 13 (b) 10 (c) 11 (d) 12
  29. 29.What is the mean of 10, 20, 5, 13, 18 and 18? (a) 13 (b) 12 (c) 15 (d) 14
  30. 30.What is the mean of 15, 4, 5, 3 and 8? (a) 6 (b) 9 (c) 7 (d) 8
  31. 31.The mean of 3 numbers is 35. When the number 27 is added to them, what is the new mean? (a) 31 (b) 34 (c) 33 (d) 35
  32. 32.What is the mean of 13, 14, 4 and 17? (a) 13 (b) 12 (c) 11 (d) 16
  33. 33.What is the median of 25, 8, 39, 23, 26, 36 and 37? (a) 23 (b) 26 (c) 25 (d) 36
  34. 34.What is the median of 29, 28, 36, 23 and 1? (a) 36 (b) 28 (c) 29 (d) 23
  35. 35.The mean of 4 numbers is 36. When the number 26 is added to them, what is the new mean? (a) 35 (b) 36 (c) 31 (d) 34
  36. 36.The mean of 3 numbers is 33. When the number 41 is added to them, what is the new mean? (a) 33 (b) 36 (c) 37 (d) 35
  37. 37.What is the mean of 12, 3, 10 and 7? (a) 9 (b) 10 (c) 8 (d) 7
  38. 38.What is the mean of 15, 18, 6, 18, 19 and 8? (a) 12 (b) 13 (c) 15 (d) 14
  39. 39.What is the median of 15, 4, 30, 35, 7, 31 and 18? (a) 35 (b) 18 (c) 20 (d) 30
  40. 40.The mean of 5 numbers is 11. When the number 23 is added to them, what is the new mean? (a) 17 (b) 14 (c) 13 (d) 11

Answer key

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

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