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Data Analysis Monitoring
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Data Analysis Monitoring
Choose the best answer where options are given. For select-all questions, more than one answer may be correct. Explain your thinking in complete sentences.
Scatter Plots and Data Displays
1.A class records how many minutes each student practises an instrument and their performance score. The plotted points rise from left to right and lie fairly close together. Which description best fits the pattern?
- Strong positive association
- Strong negative association
- Weak negative association
- No association
2.A scatter plot compares daily rainfall with the number of visitors to a park. Most points follow a downward pattern, but one day has very little rain and an unusually low number of visitors compared with the pattern. What is this unusual point called?
- An outlier
- A median
- A category
- A sample
3.Which situations are suited to a two-way table? Select all that apply.
- Comparing preferred weekend activities across year levels
- Recording the daily maximum temperature for a month
- Sorting survey responses by whether people cycle to school and whether they own a bicycle
- Tracking one runner's time across a training session
4.A scatter plot shows points that rise from left to right and lie fairly close to a straight line. What does this pattern tell you about the two variables?
Checking Claims in the Media
5.A news post says that 88% of young people prefer a new music app. Its poll included 40 visitors to the app's launch event. What is the main concern with using this result to describe all young people?
- The sample may be too small and unrepresentative
- The percentage cannot be calculated from a poll
- The poll measures two numerical variables
- The result proves the app is unpopular
6.A wellness blog claims that people who walk regularly have fewer sick days. Which details would help you judge whether the claim is reliable? Select all that apply.
- How many people took part and their ages
- How participants were selected and questioned
- Whether other factors, such as health or work type, were considered
- Whether the study was funded by an organisation with an interest in walking
7.A report finds that bicycle use and sunburn cases both rise during school holidays. Explain why this alone does not show that riding a bicycle causes sunburn.
8.Write three useful questions to ask about the source of a statistic before trusting a media claim.
Interpreting Data Carefully
Age group
Uses a smartphone
Does not use a smartphone
13–19 years
82%
18%
Over 65 years
48%
52%
9.The table shows smartphone use in two surveyed age groups. Which conclusion is supported by these results?
- Smartphone use is higher in the surveyed teenage group than in the surveyed older group
- Age always determines whether a person owns a smartphone
- No people over 65 use smartphones
- The survey must be biased
10.A class investigates whether time spent practising spelling is related to test scores. What should the students examine before making a conclusion? Select all that apply.
- Whether any points are far from the main pattern
- Whether the pattern is straight or curved
- How closely the points follow a pattern
- Whether other factors, such as prior knowledge, could affect scores
11.Explain the difference between correlation and causation. Give a clear example of two things that may be correlated without one causing the other.
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