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
Numsprite
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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.Tsz-hin records how many children each family has. 5.5 could be one of the values.
True or false?
Answer:
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.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.Ka-yee records how many children each family has. 4.5 could be one of the values.
True or false?
Answer:
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.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.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.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.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:
10.17 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:
11.12 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.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)
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:
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:
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:
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:
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:
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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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.
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.
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.
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.
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.
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.
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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