Interpreting Exam Questions

Statistics AQA
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ST23: Interpreting Exam Questions

Edexcel 1ST0 & AQA 8382

Focuses on understanding what exam questions are really asking by decoding command words (describe, explain, compare, evaluate, justify), reading data from tables and graphs accurately, and identifying the mathematical operation required.

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Interpreting Exam Questions

Focuses on understanding what exam questions are really asking by decoding command words (describe, explain, compare, evaluate, justify), reading data from tables and graphs accurately, and identifying the mathematical operation required.

Key Fact: Describe: state what the data shows using numbers and features (e.g. ‘The median is 45 and the IQR is 12’); do not explain why
Key Fact: Explain: give reasons for what the data shows (e.g. ‘The median is higher because older participants had more experience’); link to context
Key Fact: Compare: state similarities and differences between groups, using comparative language and specific data values from each group
Key Fact: Evaluate: weigh up strengths and weaknesses, or assess the usefulness/validity of a method or result; reach a balanced judgement
Key Fact: Justify: provide mathematical or statistical reasoning to support a decision or answer; show working and reasoning
Key Fact: Calculate/Find: perform a computation and show all working; give the final answer with appropriate units
Key Fact: Estimate: give an approximate value using available data; show the method used to arrive at the estimate
Key Fact: When reading from a graph, read the scale carefully: check the units, the starting value of axes, and whether the scale is linear or logarithmic
Key Fact: When reading from a table, identify the correct row and column; check for footnotes or keys that modify values
Key Fact: Questions with ‘suggest’ or ‘give a reason’ require contextual knowledge, not just calculation
Key Fact: Multi-step questions: the answer to part (a) is often needed in part (b); keep track of earlier answers
Key Fact: Underline or highlight key numbers and command words in the question before starting to write your answer

📋 Key Vocabulary and Concepts

For Interpreting Exam Questions, you must know:

❓ Practice Questions

Q: A question asks: ‘Describe the distribution of the data shown in the box plot.’ What should you include in your answer?

Q: A question asks: ‘Compare the heights of the two groups.’ You write: ‘Group A has mean 162 cm and Group B has mean 158 cm.’ Why would this not get full marks?

Q: A question asks you to ‘Evaluate the use of a questionnaire to collect data about diet.’ What two things should your answer include?

Q: A cumulative frequency graph has the x-axis labelled 0, 20, 40, 60, 80, 100 with gridlines. The median is read as 52. The actual median is 56. What went wrong?

Q: A question asks: ‘Justify your answer.’ You have calculated that the correlation coefficient r = −0.82. What should you write?

✅ Answers

  1. State the median, quartiles, IQR, and range. Mention skewness (e.g. positively skewed if the upper whisker is longer). Give specific values from the box plot. Do not explain why it is skewed.
  2. You must compare both location and spread. Use comparative language (‘Group A is taller on average by 4 cm’) and also compare spread (IQR or SD). State differences explicitly rather than just listing values.
  3. Strengths (e.g. cheap, large sample possible, easy to analyse) and weaknesses (e.g. social desirability bias, recall inaccuracy, low response rate). Reach a balanced judgement.
  4. The gridlines may be at intervals of 20, with the space between 40 and 60 not being linearly subdivided, or the student misread the scale. Always check the scale divisions carefully and use a ruler to read values.
  5. State the conclusion (‘There is a strong negative correlation’) and justify with the value (‘because r = −0.82, which is close to −1’). Explain what this means in context.

🎯 Exam Tips

📝 Exam Technique

GCSE Statistics Exam Tips — Interpreting Exam Questions:
1. For Interpreting Exam Questions questions, show every step of your working clearly — method marks count even if the final answer is wrong
2. Check your answer makes sense in context (estimation, units, reasonableness)
3. Use correct mathematical notation and state formulae before substituting values
4. If a Interpreting Exam Questions question asks you to 'prove' or 'show', write a logical chain of reasoning with a conclusion line
5. For problem-solving, identify the topic first, then recall the relevant method

⚠️ Common Errors

✗ Explaining when the question asks you to describe ✓ Describe = state what; explain = state why. Match your response to the command word

✗ Listing values separately instead of making a direct comparison ✓ Write comparative sentences: ‘Group A has a higher median (45) than Group B (32)’

✗ Reading data from the wrong row or column in a table ✓ Double-check headings, use a finger or ruler to trace the correct row and column

✗ Forgetting units when quoting values from a graph or table ✓ Always include units: ‘The median is 45 cm’ not just ‘The median is 45’

✍️ Model Answer

Full-Mark Response

A question shows a grouped frequency table of marks for two classes and asks: ‘Compare the performance of Class 1 and Class 2.’ The median for Class 1 is 54 and for Class 2 is 47. The IQR for Class 1 is 18 and for Class 2 is 22. Write a full answer.

Class 1 performed better on average, with a median mark of 54 compared to Class 2’s median of 47, a difference of 7 marks. Class 1’s marks were also more consistent, with an IQR of 18 compared to Class 2’s IQR of 22. This means Class 2’s marks are more spread out around the median. Both classes had their middle 50% of students scoring within roughly 18–22 marks of each other, but Class 1’s smaller IQR indicates more consistent performance.

📊 AO Deep Dive

Assessment Objective Analysis

AO1 (Knowledge & Understanding): Demonstrate knowledge and understanding of interpreting exam questions, including data collection, presentation and calculation techniques relevant to Edexcel 1ST0 & AQA 8382.

AO2 (Application): Apply knowledge and understanding of interpreting exam questions to interpret data, reason statistically and draw conclusions in context.

AO3 (Evaluation): Evaluate statistical methods and conclusions, assessing appropriateness, reliability, validity and bias through the statistical enquiry cycle.

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