Statistics, Year 7: asking questions of data:全部卡片
整套按顺序列出——孩子看到之前,您可以先通读一遍。
- What is the first stage of the data-handling cycle?
Posing a question
提示You cannot collect anything until you know what you want to find out.
为什么What you ask decides what data to collect, from whom, and how to present it. Without it, a chart is only decoration.
- In the data-handling cycle, what is the final stage, after the data has been collected and presented?
Interpreting the results
提示It means deciding what the charts are telling you.
为什么Interpreting means saying what the results show and what they do not. It often raises a new question, which is why it is called a cycle.
- Which question can data actually answer: 'Is football good?' or 'Do more Year 7s at our school play football than netball?'
'Do more Year 7s at our school play football than netball?'
提示Choose the one you could settle by counting.
为什么A statistical question names who is being asked about and what will be counted. 'Good' is an opinion that no tally can settle.
- A survey of 20 pupils in one class finds that most walk to school. Can you conclude that most pupils in the country walk to school?
No — the sample is too small and from one place
提示Ask who was left out.
为什么Twenty pupils from one class tell you about that class. A different school, in the countryside for example, could give a very different result.
- You want to know the favourite lunch of pupils at your school. Would asking only your friends give trustworthy data?
No — friends are not a fair sample of the school
提示People who sit together often like the same things.
为什么A sample should represent everyone the question is about. Your friends are probably your age and may share your tastes.
- A bus leaves at 09:45 and arrives at 10:20. How long is the journey?
35 minutes
提示Count up to the hour, then on.
为什么From 09:45 to 10:00 is 15 minutes, and from 10:00 to 10:20 is another 20. That makes 35.
- Buses leave the station at 14:05, 14:35 and 15:05. You arrive at 14:40. How long must you wait?
25 minutes
提示Find the first departure after you arrive.
为什么The 14:35 has already gone, so the next bus is the 15:05. From 14:40 to 15:05 is 25 minutes.
- A footnote under a table says 'prices in pence'. A cell reads 250. What is the price in pounds?
£2.50
提示The note under the table changes the unit.
为什么250p ÷ 100 = £2.50. Units and footnotes are part of the table, and they are easy to miss.
- Four friends have 3, 5, 6 and 10 sweets. If they shared them out equally, how many would each get?
6
提示Pool everything, then deal it out.
为什么3 + 5 + 6 + 10 = 24 sweets, and 24 ÷ 4 = 6 each. This equal share is exactly what the mean is.
- The mean of 5 numbers is 8. What is their total? (number only)
40
提示Reverse the sharing.
为什么If five numbers level out at 8 each, they must add up to 5 × 8 = 40. Total = mean × count.
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10★ KS3-MATH-STA-0041