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Ignition Learning — Activity Sheet

Statistics

Mathematics · Year 8

Name: ______________________Date: ____________

Statistics is about making sense of data. The mean (average) is found by adding all the values and dividing by how many there are. The median is the middle value once the data is ordered smallest to largest. The mode is the value that appears most often. Each tells you something different — useful for anything from sports scores to weekly spending.

Example

Scores in 5 games: 8, 10, 6, 10, 6. Mean = (8+10+6+10+6) ÷ 5 = 8. Ordered: 6, 6, 8, 10, 10 — the median (middle value) is 8. Both 6 and 10 appear twice, so this data has two modes.

Key terms

Mean:
The average — add all the values, divide by how many there are.
Median:
The middle value once data is ordered smallest to largest.
Mode:
The value that appears most often.
Range:
The difference between the highest and lowest value.

Questions

  1. 1. What do you call the middle value in an ordered list of numbers?

    • Mean
    • Median
    • Mode
    • Range

  2. 2. What do you call the value that appears most often in a data set?

    • Mean
    • Median
    • Mode
    • Range

  3. 3. Find the mean of 2, 4, 6:

    • 2
    • 4
    • 6
    • 12

  4. 4. What do you call the average of a set of numbers?

    • Mean
    • Median
    • Mode
    • Range

  5. 5. In the data 3, 3, 5, 7 — what is the mode?

    • 3
    • 4
    • 5
    • 7

  6. 6. Find the range of 2, 5, 9 (highest minus lowest):

    • 3
    • 4
    • 7
    • 9

  7. 7. What is the median of 1, 2, 3?

    • 1
    • 2
    • 3
    • 6

  8. 8. Find the mean of 4, 8, 6, 10, 2:

    • 4
    • 5
    • 6
    • 30

  9. 9. Find the median of 5, 2, 9, 1, 7 (order them first):

    • 2
    • 5
    • 7
    • 9

  10. 10. A week of temperatures: 20, 22, 20, 24, 20. What is the mode?

    • 20
    • 21
    • 22
    • 24

  11. 11. Find the range of 12, 45, 8, 30:

    • 22
    • 30
    • 37
    • 45

  12. 12. Your test scores are 70, 80, 90. What is your mean score?

    • 70
    • 80
    • 85
    • 90

  13. 13. Find the median of 4, 8, 15, 16, 23:

    • 8
    • 15
    • 16
    • 23

  14. 14. A shop's daily sales for 4 days: $200, $250, $200, $150. What is the mode?

    • $150
    • $175
    • $200
    • $250

  15. 15. Find the mean of 3, 7, 7, 9, 14:

    • 7
    • 8
    • 9
    • 10

  16. 16. Six friends' ages: 12, 14, 12, 15, 13, 14. Find the mean age (to 2 decimal places).

    • 12
    • 13
    • 13.33
    • 14

  17. 17. A data set of 4 values has a mean of 20. Three of the values are 15, 18 and 22. What is the fourth?

    • 20
    • 23
    • 25
    • 27

  18. 18. Weekly spending over 5 weeks: $40, $55, $40, $70, $45. What is the median?

    • $40
    • $45
    • $50
    • $55

  19. 19. Daily steps: 8500, 6200, 9100, 7300. Find the range.

    • 1900
    • 2400
    • 2900
    • 3600

  20. 20. A cricketer's scores: 45, 60, 45, 80, 20. What is the mode?

    • 20
    • 45
    • 60
    • 80

  21. 21. Test scores: 55, 70, 85, 90, 100. Find the median.

    • 70
    • 80
    • 85
    • 90

Answer key (parent copy)

  1. 1. Median
  2. 2. Mode
  3. 3. 4
  4. 4. Mean
  5. 5. 3
  6. 6. 7
  7. 7. 2
  8. 8. 6
  9. 9. 5
  10. 10. 20
  11. 11. 37
  12. 12. 80
  13. 13. 15
  14. 14. $200
  15. 15. 8
  16. 16. 13.33
  17. 17. 25
  18. 18. $45
  19. 19. 2900
  20. 20. 45
  21. 21. 85