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AQA GCSE · Question 09.5 · Interpreting Results and Evaluating Findings
Has the company achieved each of its targets stated in part (b)? You must give a reason for each target.
Target 1 - median number of rewards is increased
Target 2 - interquartile range is increased
Has the company achieved each of its targets stated in part (b)? You must give a reason for each target.
Target 1 - median number of rewards is increased
Target 2 - interquartile range is increased
How to approach this question
1. **Recall the targets**:
* Increase the median.
* Increase the IQR.
2. **Recall the values from the old and new samples**:
* Old sample: Median = 1, IQR = 1.
* New sample: Median = 2, IQR = 2.
3. **Evaluate Target 1**:
* Compare the medians: New median (2) vs. Old median (1).
* Is the new median greater than the old median? Yes (2 > 1).
* Write the conclusion: "Yes, the target was met because the median increased from 1 to 2."
4. **Evaluate Target 2**:
* Compare the IQRs: New IQR (2) vs. Old IQR (1).
* Is the new IQR greater than the old IQR? Yes (2 > 1).
* Write the conclusion: "Yes, the target was met because the IQR increased from 1 to 2."
Full Answer
**Target 1 - median:**
Yes, the company has achieved this target. The median for the old sample was 1, and the median for the new sample is 2. Since 2 > 1, the median has increased.
**Target 2 - interquartile range:**
Yes, the company has achieved this target. The IQR for the old sample was 1, and the IQR for the new sample is 2. Since 2 > 1, the interquartile range has increased.
This question requires a direct comparison of the statistical measures calculated for the two samples against the company's stated targets.
**Target 1: Median number of rewards is increased**
- The median of the original sample was 1.
- The median of the new sample is 2.
- Since 2 is greater than 1, the median has increased.
- **Conclusion: Yes, this target has been achieved.**
**Target 2: Interquartile range is increased**
- The interquartile range (IQR) of the original sample was 1.
- The interquartile range (IQR) of the new sample is 2.
- Since 2 is greater than 1, the interquartile range has increased.
- **Conclusion: Yes, this target has also been achieved.**
Common mistakes
✗ Answering "Yes" without providing the numerical evidence (e.g., "because it went up").
✗ Mixing up the values for the old and new samples.
✗ Only evaluating one of the two targets.
Practice the full AQA GCSE Statistics Higher Tier Paper 1
42 questions · hints · full answers · grading
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