Data Representation - Complete Interactive Lesson
Part 1: Reading Data Tables
ACT Science Data Analysis
Part 1 of 7 โ Trends in tables and graphs
Most ACT Science questions in this unit are solved with arithmetic and careful reading of labels. Use this sequence:
- Identify variable on each axis.
- Compute only what the question asks (difference, rate, or estimate).
- Match units before finalizing.
Precision beats speed-reading in data-heavy passages.
Data Fundamentals
Worked Numeric Example
A table lists concentration (mM) and absorbance:
- 2 mM โ 0.18
- 4 mM โ 0.33
- 6 mM โ 0.47
Suppose a question asks for the estimated absorbance at 5 mM. 5 mM lies between 4 and 6 mM, so interpolate between 0.33 and 0.47. Midpoint estimate: about 0.40.
On ACT Science, interpolation is usually linear unless the graph clearly curves.
Computation Set
- A value rises from 14 to 23. Enter the increase.
- A quantity changes from 50 to 65 over 3 minutes. Enter average rate per minute (decimal allowed).
- If a point estimate is 31 and measured value is 28, enter absolute error.
Practical Strategy for Trends in tables and graphs
- When options are close, compute with one extra decimal before choosing.
- For controls/variables items, identify what is held constant first.
- For uncertainty questions, overlapping error bars mean weak evidence for a difference.
- In synthesis passages, build a mini two-column note: Source A claim vs Source B claim.
Reasoning Match
Timed Review Questions
Part 2: Interpreting Graphs
ACT Science Data Analysis
Part 2 of 7 โ Interpolation and extrapolation
Most ACT Science questions in this unit are solved with arithmetic and careful reading of labels. Use this sequence:
- Identify variable on each axis.
- Compute only what the question asks (difference, rate, or estimate).
- Match units before finalizing.
Precision beats speed-reading in data-heavy passages.
Data Fundamentals
Worked Numeric Example
A table lists concentration (mM) and absorbance:
- 2 mM โ 0.18
- 4 mM โ 0.33
- 6 mM โ 0.47
Suppose a question asks for the estimated absorbance at 5 mM. 5 mM lies between 4 and 6 mM, so interpolate between 0.33 and 0.47. Midpoint estimate: about 0.40.
On ACT Science, interpolation is usually linear unless the graph clearly curves.
Computation Set
- A value rises from 14 to 23. Enter the increase.
- A quantity changes from 50 to 65 over 3 minutes. Enter average rate per minute (decimal allowed).
- If a point estimate is 31 and measured value is 28, enter absolute error.
Practical Strategy for Interpolation and extrapolation
- When options are close, compute with one extra decimal before choosing.
- For controls/variables items, identify what is held constant first.
- For uncertainty questions, overlapping error bars mean weak evidence for a difference.
- In synthesis passages, build a mini two-column note: Source A claim vs Source B claim.
Reasoning Match
Timed Review Questions
Part 3: Identifying Trends
ACT Science Data Analysis
Part 3 of 7 โ Rates and slopes
Most ACT Science questions in this unit are solved with arithmetic and careful reading of labels. Use this sequence:
- Identify variable on each axis.
- Compute only what the question asks (difference, rate, or estimate).
- Match units before finalizing.
Precision beats speed-reading in data-heavy passages.
Data Fundamentals
Worked Numeric Example
A table lists concentration (mM) and absorbance:
- 2 mM โ 0.18
- 4 mM โ 0.33
- 6 mM โ 0.47
Suppose a question asks for the estimated absorbance at 5 mM. 5 mM lies between 4 and 6 mM, so interpolate between 0.33 and 0.47. Midpoint estimate: about 0.40.
On ACT Science, interpolation is usually linear unless the graph clearly curves.
Computation Set
- A value rises from 14 to 23. Enter the increase.
- A quantity changes from 50 to 65 over 3 minutes. Enter average rate per minute (decimal allowed).
- If a point estimate is 31 and measured value is 28, enter absolute error.
Practical Strategy for Rates and slopes
- When options are close, compute with one extra decimal before choosing.
- For controls/variables items, identify what is held constant first.
- For uncertainty questions, overlapping error bars mean weak evidence for a difference.
- In synthesis passages, build a mini two-column note: Source A claim vs Source B claim.
Reasoning Match
Timed Review Questions
Part 4: Comparing Data Sets
ACT Science Data Analysis
Part 4 of 7 โ Controls and variables
Most ACT Science questions in this unit are solved with arithmetic and careful reading of labels. Use this sequence:
- Identify variable on each axis.
- Compute only what the question asks (difference, rate, or estimate).
- Match units before finalizing.
Precision beats speed-reading in data-heavy passages.
Data Fundamentals
Worked Numeric Example
A table lists concentration (mM) and absorbance:
- 2 mM โ 0.18
- 4 mM โ 0.33
- 6 mM โ 0.47
Suppose a question asks for the estimated absorbance at 5 mM. 5 mM lies between 4 and 6 mM, so interpolate between 0.33 and 0.47. Midpoint estimate: about 0.40.
On ACT Science, interpolation is usually linear unless the graph clearly curves.
Computation Set
- A value rises from 14 to 23. Enter the increase.
- A quantity changes from 50 to 65 over 3 minutes. Enter average rate per minute (decimal allowed).
- If a point estimate is 31 and measured value is 28, enter absolute error.
Practical Strategy for Controls and variables
- When options are close, compute with one extra decimal before choosing.
- For controls/variables items, identify what is held constant first.
- For uncertainty questions, overlapping error bars mean weak evidence for a difference.
- In synthesis passages, build a mini two-column note: Source A claim vs Source B claim.
Reasoning Match
Timed Review Questions
Part 5: Making Predictions
ACT Science Data Analysis
Part 5 of 7 โ Uncertainty and error bars
Most ACT Science questions in this unit are solved with arithmetic and careful reading of labels. Use this sequence:
- Identify variable on each axis.
- Compute only what the question asks (difference, rate, or estimate).
- Match units before finalizing.
Precision beats speed-reading in data-heavy passages.
Data Fundamentals
Worked Numeric Example
A table lists concentration (mM) and absorbance:
- 2 mM โ 0.18
- 4 mM โ 0.33
- 6 mM โ 0.47
Suppose a question asks for the estimated absorbance at 5 mM. 5 mM lies between 4 and 6 mM, so interpolate between 0.33 and 0.47. Midpoint estimate: about 0.40.
On ACT Science, interpolation is usually linear unless the graph clearly curves.
Computation Set
- A value rises from 14 to 23. Enter the increase.
- A quantity changes from 50 to 65 over 3 minutes. Enter average rate per minute (decimal allowed).
- If a point estimate is 31 and measured value is 28, enter absolute error.
Practical Strategy for Uncertainty and error bars
- When options are close, compute with one extra decimal before choosing.
- For controls/variables items, identify what is held constant first.
- For uncertainty questions, overlapping error bars mean weak evidence for a difference.
- In synthesis passages, build a mini two-column note: Source A claim vs Source B claim.
Reasoning Match
Timed Review Questions
Part 6: Problem-Solving Workshop
ACT Science Data Analysis
Part 6 of 7 โ Data synthesis across figures
Most ACT Science questions in this unit are solved with arithmetic and careful reading of labels. Use this sequence:
- Identify variable on each axis.
- Compute only what the question asks (difference, rate, or estimate).
- Match units before finalizing.
Precision beats speed-reading in data-heavy passages.
Data Fundamentals
Worked Numeric Example
A table lists concentration (mM) and absorbance:
- 2 mM โ 0.18
- 4 mM โ 0.33
- 6 mM โ 0.47
Suppose a question asks for the estimated absorbance at 5 mM. 5 mM lies between 4 and 6 mM, so interpolate between 0.33 and 0.47. Midpoint estimate: about 0.40.
On ACT Science, interpolation is usually linear unless the graph clearly curves.
Computation Set
- A value rises from 14 to 23. Enter the increase.
- A quantity changes from 50 to 65 over 3 minutes. Enter average rate per minute (decimal allowed).
- If a point estimate is 31 and measured value is 28, enter absolute error.
Practical Strategy for Data synthesis across figures
- When options are close, compute with one extra decimal before choosing.
- For controls/variables items, identify what is held constant first.
- For uncertainty questions, overlapping error bars mean weak evidence for a difference.
- In synthesis passages, build a mini two-column note: Source A claim vs Source B claim.
Reasoning Match
Timed Review Questions
Part 7: Review & Applications
ACT Science Data Analysis
Part 7 of 7 โ Mixed review with timed sets
Most ACT Science questions in this unit are solved with arithmetic and careful reading of labels. Use this sequence:
- Identify variable on each axis.
- Compute only what the question asks (difference, rate, or estimate).
- Match units before finalizing.
Precision beats speed-reading in data-heavy passages.
Data Fundamentals
Worked Numeric Example
A table lists concentration (mM) and absorbance:
- 2 mM โ 0.18
- 4 mM โ 0.33
- 6 mM โ 0.47
Suppose a question asks for the estimated absorbance at 5 mM. 5 mM lies between 4 and 6 mM, so interpolate between 0.33 and 0.47. Midpoint estimate: about 0.40.
On ACT Science, interpolation is usually linear unless the graph clearly curves.
Computation Set
- A value rises from 14 to 23. Enter the increase.
- A quantity changes from 50 to 65 over 3 minutes. Enter average rate per minute (decimal allowed).
- If a point estimate is 31 and measured value is 28, enter absolute error.
Practical Strategy for Mixed review with timed sets
- When options are close, compute with one extra decimal before choosing.
- For controls/variables items, identify what is held constant first.
- For uncertainty questions, overlapping error bars mean weak evidence for a difference.
- In synthesis passages, build a mini two-column note: Source A claim vs Source B claim.
Reasoning Match
Timed Review Questions