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Data and charts · Ages 10–11

Kinds of data worksheet

Part of: Mode, median and range

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Kinds of data worksheet

Data and charts · Ages 10–11

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Name:Date:Score:/48

Write each answer in the space. For word problems, show your working and write a sentence answer.

Part A: Choose, or true or false (2 marks each)

  1. 1.Tsz-hin records how many children each family has. 5.5 could be one of the values.

    True or false?

    Answer:

  2. 2.A football team's goals scored in 6 matches: 2, 0, 2, 3, 2, 4. What kind of data are these?

    • A. Categorical data
    • B. Continuous data
    • C. Not data at all
    • D. Discrete data

    Choose the right answer

    Answer:

  3. 3.Ka-yee measures the heights of 5 friends (cm): 153, 153, 154, 157, 160. What kind of data are these heights?

    • A. Continuous data
    • B. Categorical data
    • C. Not data at all
    • D. Discrete data

    Choose the right answer

    Answer:

  4. 4.Ka-yee records how many children each family has. 4.5 could be one of the values.

    True or false?

    Answer:

  5. 5.A football team's goals scored in 6 matches: 5, 5, 2, 5, 4, 2. What kind of data are these?

    • A. Not data at all
    • B. Discrete data
    • C. Categorical data
    • D. Continuous data

    Choose the right answer

    Answer:

  6. 6.Ming measures the heights of 5 friends (cm): 125, 161, 159, 151, 126. What kind of data are these heights?

    • A. Continuous data
    • B. Discrete data
    • C. Categorical data
    • D. Not data at all

    Choose the right answer

    Answer:

  7. 7.A football team's goals scored in 6 matches: 3, 3, 4, 3, 5, 3. What kind of data are these?

    • A. Continuous data
    • B. Not data at all
    • C. Categorical data
    • D. Discrete data

    Choose the right answer

    Answer:

  8. 8.Ming measures the heights of 5 friends (cm): 155, 161, 152, 147, 131. What kind of data are these heights?

    • A. Not data at all
    • B. Continuous data
    • C. Categorical data
    • D. Discrete data

    Choose the right answer

    Answer:

  9. 9.A minibus seats at most 19. Ka-yee records how many passengers are on each minibus that passes. Which of these can NOT be one of the values?

    • A. 0
    • B. 11
    • C. 13.5
    • D. 3

    Choose the right answer

    Answer:

  10. 10.17 friends each name their favourite MTR line: Kwun Tong Line 8, Tsuen Wan Line 3, Tung Chung Line 6. What kind of data are the lines they name?

    • A. Not data at all
    • B. Categorical data
    • C. Discrete data
    • D. Continuous data

    Choose the right answer

    Answer:

  11. 11.12 friends each name their favourite MTR line: Kwun Tong Line 5, Tsuen Wan Line 3, Tung Chung Line 4. What kind of data are the lines they name?

    • A. Not data at all
    • B. Categorical data
    • C. Continuous data
    • D. Discrete data

    Choose the right answer

    Answer:

  12. 12.A minibus seats at most 19. Tsz-hin records how many passengers are on each minibus that passes. Which of these can NOT be one of the values?

    • A. 14
    • B. 8.5
    • C. 18
    • D. 5

    Choose the right answer

    Answer:

Part B: Word problems (4 marks each)

  1. 13.A lift holds at most 18 people. Ka-lok records how many people are inside each time the doors open (it can be 0). At most how many different values can these data have?

    Working:

    Answer:

  2. 14.At a cha chaan teng, Ka-lok records three things about 12 tables: the drink each orders, how long each waits for food, and how many people sit at each. Which one is continuous data?

    • A. All three
    • B. The drinks
    • C. The waiting times
    • D. The number at each table

    Choose the right answer

    Working:

    Answer:

  3. 15.Ka-lok records the number of children in 14 families in a block of flats: 5 families have none, 3 have 1, 4 have 2 and 2 have 3. How many children are there altogether?

    Working:

    Answer:

  4. 16.Chi-keung watches Victoria Harbour for 5 minutes and records each passing boat's type, how many people are on it, and its length. Which one is discrete data?

    • A. The number of people
    • B. The length
    • C. The type of boat
    • D. None of them

    Choose the right answer

    Working:

    Answer:

  5. 17.Tsz-hin watches Victoria Harbour for 11 minutes and records each passing boat's type, how many people are on it, and its length. Which one is discrete data?

    • A. The type of boat
    • B. None of them
    • C. The number of people
    • D. The length

    Choose the right answer

    Working:

    Answer:

  6. 18.A lift holds at most 14 people. Tsz-hin records how many people are inside each time the doors open (it can be 0). At most how many different values can these data have?

    Working:

    Answer:

Show the answers and working

Kinds of data worksheet: Answers and working

Part A: Choose, or true or false

  1. 1. False

    Children are counted. What kind of numbers can a count give? Then look at 5.5.

    Children are counted: discrete data, only whole numbers 0, 1, 2…

  2. 2. D. Discrete data

    Are goals counted or measured? Can a team score half a goal?

    Goals are counted, so they can only be whole numbers 0, 1, 2…: discrete data.

  3. 3. A. Continuous data

    Is height counted or measured? Can there be other heights in between two heights?

    Height is measured: between any two heights there are endless more, so heights are continuous data.

  4. 4. False

    Children are counted. What kind of numbers can a count give? Then look at 4.5.

    Children are counted: discrete data, only whole numbers 0, 1, 2…

  5. 5. B. Discrete data

    Are goals counted or measured? Can a team score half a goal?

    Goals are counted, so they can only be whole numbers 0, 1, 2…: discrete data.

  6. 6. A. Continuous data

    Is height counted or measured? Can there be other heights in between two heights?

    Height is measured: between any two heights there are endless more, so heights are continuous data.

  7. 7. D. Discrete data

    Are goals counted or measured? Can a team score half a goal?

    Goals are counted, so they can only be whole numbers 0, 1, 2…: discrete data.

  8. 8. B. Continuous data

    Is height counted or measured? Can there be other heights in between two heights?

    Height is measured: between any two heights there are endless more, so heights are continuous data.

  9. 9. C. 13.5

    Passengers are counted. Can a number of people have a decimal part?

    Passengers are counted: discrete data, whole numbers only. There can't be 13.5 passengers.

  10. 10. B. Categorical data

    Do they give a number, or a name?

    Each person gives a name (a category), not a number: categorical data. You can only count how many are in each.

  11. 11. B. Categorical data

    Do they give a number, or a name?

    Each person gives a name (a category), not a number: categorical data. You can only count how many are in each.

  12. 12. B. 8.5

    Passengers are counted. Can a number of people have a decimal part?

    Passengers are counted: discrete data, whole numbers only. There can't be 8.5 passengers.

Part B: Word problems

Marking: 2 for the working, 1 for the answer, 1 for the sentence.

  1. 13. 19 values

    The count can be 0, 1, 2 … up to 18. Don't forget that 0 is a value too.

    People are discrete data, only 0, 1, 2 … 18: that is 18 + 1 = 19 whole numbers.

  2. 14. C. The waiting times

    Of the three things, which one is measured?

    Time is measured and can be anything in between, like 5.5 minutes: continuous data.

  3. 15. 17 children

    For each kind, multiply the families by the children in each, then add them up.

    Families × children each, then add: 0 + 3 + 8 + 6 = 17.

  4. 16. A. The number of people

    Of the three things, which one is a count in whole numbers?

    People are counted, only whole numbers: discrete data.

  5. 17. C. The number of people

    Of the three things, which one is a count in whole numbers?

    People are counted, only whole numbers: discrete data.

  6. 18. 15 values

    The count can be 0, 1, 2 … up to 14. Don't forget that 0 is a value too.

    People are discrete data, only 0, 1, 2 … 14: that is 14 + 1 = 15 whole numbers.

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