Data and probability · Ages 12–13
Kinds of data worksheet
Part of: Organising data & statistical charts
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Kinds of data worksheet
Data and probability · Ages 12–13
Numsprite
numsprite.com
Name:Date:Score:／48
Write each answer in the space. For word problems, show your working and write a sentence answer.
Part A: Working out and filling in (2 marks each)
1.Weights are measured to the nearest kg. A weight recorded as 67 kg is really at least kg.
Answer:
2.A 100 m time is measured to the nearest 0.1 s and recorded as 16.4 s. The real time is from s up to s (not including the second).
Fill in each blank
Answer:
3.A 100 m time is measured to the nearest 0.1 s and recorded as 19.3 s. The real time is from s up to s (not including the second).
Fill in each blank
Answer:
Part B: Choose, or true or false (2 marks each)
4.Chi-keung writes a questionnaire. Which of these collects qualitative data?
- A. Number of televisions at home
- B. Favourite fruit
- C. Weight of a backpack
- D. Time spent exercising each day
Choose the right answer
Answer:
5.Ka-lok records these over a week. Which one is discrete data?
- A. Amount of water drunk each day
- B. Number of messages received each day
- C. Temperature at noon each day
- D. Time spent asleep each day
Choose the right answer
Answer:
6.Ka-yee collects these facts about teammates. Which one is continuous data?
- A. Height
- B. Shoe size
- C. Favourite sport
- D. Number of brothers and sisters
Choose the right answer
Answer:
7.Which of these could be the number of singers in a choir?
- A. 28.5
- B. 28.25
- C. 28
- D. 27.5
Choose the right answer
Answer:
8.Ka-yan writes a questionnaire. Which of these collects qualitative data?
- A. Time spent exercising each day
- B. Weight of a backpack
- C. Number of televisions at home
- D. Favourite fruit
Choose the right answer
Answer:
9.The number of children in a family can be 5.
True or false?
Answer:
10.Heights are measured to the nearest cm. A player recorded as 141 cm could really be 141.2 cm tall.
True or false?
Answer:
11.Ming records two kinds of data. A: shoe size; B: the length of the foot. Which description is right?
- A. Both are discrete
- B. A is discrete, B is continuous
- C. Both are continuous
- D. A is continuous, B is discrete
Choose the right answer
Answer:
12.Tsz-hin records two kinds of data. A: shoe size; B: the length of the foot. Which description is right?
- A. A is continuous, B is discrete
- B. Both are discrete
- C. Both are continuous
- D. A is discrete, B is continuous
Choose the right answer
Answer:
Part C: Word problems (4 marks each)
13.Ka-yan's questionnaire has these four questions. Which one collects qualitative data?
- A. How long is your hand?
- B. How many times a week do you swim?
- C. How many phones are there at home?
- D. Which fruit do you like best?
Choose the right answer
Working:
Answer:
14.Chi-keung records how many emails arrive each day. One day's record could be 29 emails.
True or false?
Working:
Answer:
15.Ka-yan measures a rope to the nearest cm and records 151 cm. The rope could really be 151.1 cm long.
True or false?
Working:
Answer:
16.A bag of rice is labelled 4.8 kg, to the nearest 0.1 kg. At least how many kg does a bag really weigh?
Working:
Answer:
17.Ka-yan records five facts about each of 35 teammates: height, weight, number of brothers and sisters, shoe size, favourite colour. of them are quantitative, and are continuous.
Fill in each blank
Working:
Answer:
18.Tsz-ching times a 50 m run with a stopwatch, to the nearest 0.1 s, and records 9.9 s. At least how many seconds did the run really take?
Working:
Answer:
Show the answers and working
Kinds of data worksheet: Answers and working
Part A: Working out and filling in
1. 66.5
Weight is continuous, rounded to the nearest kg before it is recorded, so it may really be up to 0.5 kg less: 67 − 0.5 = 66.5.
2. 16.35, 16.45
To the nearest 0.1 s, the real time is within 0.05 s of the record: 16.4 − 0.05 = 16.35, 16.4 + 0.05 = 16.45.
3. 19.25, 19.35
To the nearest 0.1 s, the real time is within 0.05 s of the record: 19.3 − 0.05 = 19.25, 19.3 + 0.05 = 19.35.
Part B: Choose, or true or false
4. B. Favourite fruit
Qualitative data are categories, such as apple, orange, banana, not numbers; the other three are numbers: quantitative.
5. B. Number of messages received each day
Messages are counted: 0, 1, 2…, never 2.5, so the data are discrete.
6. A. Height
Height is measured: between 150 cm and 151 cm lie 150.5 cm and endless other values, so it is continuous.
7. C. 28
A number of people is a whole number, so 28.
8. D. Favourite fruit
Qualitative data are categories, such as apple, orange, banana, not numbers; the other three are numbers: quantitative.
9. True
A number of children is counted, discrete data: only whole numbers 0, 1, 2, 3…, never half a child.
10. True
141.2 cm to the nearest cm is 141 cm. A height recorded as 141 cm is really from 140.5 cm up to 141.5 cm (not including 141.5 cm).
11. B. A is discrete, B is continuous
Shoe sizes take separate values only (discrete); a foot's length is measured and can be any value in a range (continuous).
12. D. A is discrete, B is continuous
Shoe sizes take separate values only (discrete); a foot's length is measured and can be any value in a range (continuous).
Part C: Word problems
Marking: 2 for the working, 1 for the answer, 1 for the sentence.
13. D. Which fruit do you like best?
A fruit's name is a category, not a number: qualitative data.
14. True
Emails are counted: the number is discrete data, a whole number only.
15. True
151.1 cm to the nearest cm is 151 cm. A length recorded as 151 cm is really from 150.5 cm up to 151.5 cm (not including 151.5 cm).
16. 4.75 kg
To the nearest 0.1 kg, the real weight is at most 0.05 kg under the label: 4.8 − 0.05 = 4.75.
17. 4, 2
Colour is qualitative; the other 4 are numbers. Height and weight are measured (continuous); brothers and sisters, and shoe size, take separate values (discrete).
18. 9.85 s
Time is continuous. To the nearest 0.1 s, the real value is within 0.05 s of the record: 9.9 − 0.05 = 9.85.
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