OCR AAQ Applied Science F181 • Unit 2.4.1

Interpreting Data

Patterns, relationships, conclusions, hypotheses and further investigation

By the end

You should be able to…

  • Describe patterns and relationships from data and graphs.
  • Use mathematical skills to interpret data and graphs.
  • Draw conclusions from data.
  • Accept or reject a hypothesis using evidence.
  • Suggest further scientific investigations.
MWB: What makes a graph description good?

Write three features of a strong answer.

Starter graph

Describe the pattern

Describe the enzyme-style graph. Avoid vague words like “it” and “they”. Replace them with nouns.

Questions to ask yourself

  • What happens at the start?
  • Where is the line steepest?
  • Where is the peak, optimum or plateau?
  • How much does the value change?
  • Is the correlation positive, negative or none?
  • Can you use data from the graph?
Graph description ladder

From weak to strong descriptions

Level 1

“It goes up then down.”

Level 2

“As temperature increases, the rate increases then decreases.”

Level 3

“As temperature increases from 10°C to 40°C, the rate increases from 1 to 6 cm³/min. After 40°C the rate decreases.”

How to describe a graph well

The DUC rule

📝Describe directionIncrease, decrease, peak, plateau, no relationship.
🔢Use dataQuote values, units and changes.
🔍Comment scientificallyCorrelation, gradient, steepness and exceptions.
Mathematical interpretation

Key maths skills for interpreting data

📐GradientRate of change on a straight line.
➕y = mx + cGradient and intercept.
〰️TangentRate of change on a curve.
🧮AveragesMean, median, mode, range.
📊Standard deviationSpread around the mean.
🔗CorrelationPositive, negative or none.
📍Read from graphUse graph lines carefully.
✅ConclusionUse evidence to decide.

Gradient from a straight line

gradient = change in y ÷ change in x

Question: Calculate the gradient between 0 and 10 minutes.

y = mx + c

m = gradient

c = y-intercept, where the line crosses the y-axis

For a straight-line graph, this can help describe the mathematical relationship between variables.

Tangent to a curve

For a curve, the rate of change at one point is found using a tangent.

MWB: Why not use the whole curve?

Explain why a tangent is needed for rate at one point on a curve.

Conclusions and hypotheses

Accept or reject the hypothesis?

Press start to begin.

Building confidence

From simple decisions to stronger evidence

First, scientists can decide whether data appears to support a hypothesis by looking at the pattern.

To be more confident, they can use mean and standard deviation to judge whether differences between groups are likely to be meaningful.

MWB: Why is “the mean is higher” not always enough?

Think about spread, variation and overlap.

Mean, median, mode and range

Dataset: 12, 15, 15, 18, 20

Standard deviation

Standard deviation measures how spread out data is around the mean.

Set A

9, 10, 10, 11, 10

Set B

4, 8, 10, 12, 16

Worked example

Calculating standard deviation

Dataset: 8, 10, 10, 12, 15

Use this sample standard deviation formula:

s = √( Σ(x − mean)² ÷ (n − 1) )
Value, xx − mean(x − mean)²
8-39
10-11
10-11
1211
15416
Total28
MWB: What does a large SD mean?

Write one sentence about spread and reliability.

Mean ± standard deviation

Using mean and SD to support or reject a hypothesis

Scientists often compare the mean and standard deviation range for two groups.

No overlap = stronger evidence of a difference

If the mean ± SD ranges do not overlap, the groups are more likely to be genuinely different.

Overlap = weaker evidence of a difference

If the mean ± SD ranges overlap, the difference between means may be due to variation in the data.

Hypothesis with mean ± SD

Accept or reject using SD overlap?

Hypothesis: Fertiliser increases plant growth.

GroupMean height (cm)Standard deviation (cm)Mean ± SD range
No fertiliser12210 to 14
Fertiliser18315 to 21

Question: Do the SD ranges overlap? What does this suggest about the hypothesis?

Does data tell us everything?

Data helps us decide whether a hypothesis is supported, but it may not prove something is always true.

Example: If pondweed produces more oxygen at higher light intensity, does that conclusion apply to all plants in all conditions?

MWB: What makes a conclusion limited?

List two reasons a conclusion might not apply everywhere.

Further investigation

What should scientists do next?

↔️Change the rangeBigger or smaller values.
📏Use smaller incrementsMore detailed data between points.
👥Increase sample sizeMore reliable and representative.
🌡️Test different conditionspH, temperature, light, species.
🔁Repeat and calculate meanReduce effect of anomalies.
🎛️Control variablesImprove validity.
Evaluate the conclusion

Spot the gaps

“Caffeine increases reaction time because the people who drank coffee reacted faster.”

GroupMean reaction time (ms)Number of participants
No caffeine2803
Caffeine2403

Glossary builder

Click each term and add the definition to your notes.

Student task

Create a “how to interpret scientific data” guide.

  • How to describe a graph well
  • How to calculate gradient
  • When to use a tangent
  • How to accept or reject a hypothesis
  • How to suggest further investigation
Extended work

Interpreting data practice bank

Practice 1: Graph description

Describe the trend in the enzyme graph using data and scientific vocabulary.

Practice 2: Maths

For the line y = 3x + 4, identify the gradient and y-intercept.

Practice 3: Further work

An experiment used one species, five repeats and a narrow temperature range. Suggest two improvements.

Finishing quiz

Multiple-choice checkpoint

Answer each question. Your score will appear at the end.