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Advanced Graph Interpretation Worksheet

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Advanced Graph Interpretation Worksheet

📊 Part 1: Graph Analysis and Interpretation

1. A line graph shows the temperature in London over a week. Monday: 12°C, Tuesday: 15°C, Wednesday: 18°C, Thursday: 16°C, Friday: 14°C, Saturday: 11°C, Sunday: 13°C.

a) Calculate the mean temperature for the week. Show your working.

b) What was the range in temperature?

c) Between which two consecutive days was there the greatest decrease in temperature?

2. A pie chart shows how 240 Year 10 students travel to school: Car 30%, Bus 45%, Walk 20%, Cycle 5%.

a) How many students travel by bus?

b) What angle would represent students who walk to school?

c) If 12 more students started cycling to school, what would be the new percentage of students who cycle? (Assume total number of students remains 240)

📈 Part 2: Trend Analysis and Comparison

3. A dual bar chart compares monthly rainfall (mm) in Manchester and Brighton over 6 months:

Manchester: Jan: 80mm, Feb: 65mm, Mar: 70mm, Apr: 55mm, May: 45mm, Jun: 40mm

Brighton: Jan: 60mm, Feb: 50mm, Mar: 45mm, Apr: 35mm, May: 30mm, Jun: 25mm

a) Which city had more consistent rainfall? Justify your answer using range calculations.

b) Calculate the percentage decrease in rainfall from January to June for Manchester.

c) Describe the overall trend shown by both cities and suggest a possible reason.

4. A line graph shows the value of two investments over 5 years. Investment A starts at £1000 and increases by 8% each year. Investment B starts at £1200 and increases by 5% each year.

a) Calculate the value of each investment after 3 years.

b) In which year will Investment A first exceed Investment B in value?

c) Explain why Investment A eventually becomes more valuable despite starting with less money.

🎯 Part 3: Graph Construction and Interpretation

5. The table shows the results of a survey asking 180 students about their favourite subject:

Maths: 54 students, Science: 45 students, English: 36 students, History: 27 students, Art: 18 students

a) Draw a pie chart to represent this data. Calculate the angle for each sector first.

b) If this data were presented as a bar chart instead, what would be the advantages and disadvantages compared to the pie chart?

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