Reading Precisely
Match the answer to exactly what the text claims.
By the end, you should be able to:
- Track a claim's direction, strength, and scope without adding assumptions.
- Read quantities, negation, conditions, and comparisons accurately.
- Distinguish a plausible explanation from a supported conclusion.
Reading position saved on this browser; this is not a completion record.
4.1 Who, how many, and under what conditions?
A sentence can be almost right and still make a different claim. Before judging an answer, identify its scope: whom or what it concerns, how many, where, when, and under what conditions. 'Most seedlings in the shaded greenhouse survived the first week' concerns a particular group, setting, and interval. It does not establish what happens to seedlings generally.
Some means at least one; by itself, it does not mean 'some but not all.' Most means more than half of the relevant group. All allows no exceptions within that group. Words such as 'many' and 'several' do not supply an exact percentage. Preserve these distinctions rather than translating every positive quantity into 'usually.'
A weaker answer may still follow: if 18 of 30 participants succeeded, 'some participants succeeded' is true. But cautious wording cannot repair a change in population. 'Some people who did not participate succeeded' remains unsupported. Check the whole claim, not just its quantity word.
- Mark the group: participants, surveyed residents, or all residents?
- Mark the quantity: at least one, more than half, or every member?
- Keep restrictions attached: in this trial, during winter, or under low light.
W4.1: A majority of whom?
Of 30 volunteers at a reading festival, 18 preferred reading the supplied story on paper rather than on a screen. The volunteers were not selected to represent the festival's visitors.
Which statement is supported?
A. Most festival visitors preferred reading the story on paper.
B. Only 18 festival visitors preferred reading the story on paper.
C. Some volunteers preferred paper, but most preferred a screen.
D. Most of the volunteers preferred reading the story on paper.
Practice this lesson: 4.01, 4.05, 4.12.
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Answer: D
- The measured group is the 30 volunteers, not all visitors.
- Eighteen is more than half of 30, so 'most of the volunteers' is justified.
Why A fails: It extends the result to an unmeasured population.
Why B fails: It treats the measured count as an exact count for the entire festival.
Why C fails: It contradicts the reported majority.
Key takeaway: Attach every quantity to its actual group.
4.2 How strong is the claim?
Writers distinguish what could happen, what probably happens, and what does happen. 'The marks may indicate tool use' offers a possibility. 'The marks probably indicate tool use' judges that explanation likely. Neither establishes it as certain. Similarly, 'tends to' describes a pattern that can have exceptions; it does not mean 'always.'
Do not choose the most cautious answer automatically. It can still be irrelevant or reverse a relationship. If all five tested samples contain copper, an answer saying 'all five' is appropriate. Strong words are wrong only when the evidence does not justify their strength.
Watch the verb as well as the qualifier. 'Is consistent with,' 'supports,' and 'proves' make different commitments. Evidence can support an explanation while leaving competing explanations open. Ask: is the answer reporting a fact, suggesting a possibility, or announcing a settled conclusion?
W4.2: A plausible attribution
A bowl bears a pattern also found on objects from the Harrow workshop. Because other workshops used similar patterns, the resemblance suggests that the bowl may have been made at Harrow but does not establish its origin.
Which claim best matches the passage?
A. The pattern provides a reason to consider Harrow as a possible source of the bowl.
B. The pattern establishes Harrow as the most likely source of the bowl.
C. The bowl must have been produced outside Harrow.
D. The pattern cannot provide any information about the bowl's possible origin.
Practice this lesson: 4.06.
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Answer: A
- The resemblance supports a possibility, while the shared pattern prevents certainty.
- A preserves both the positive evidence and the stated uncertainty.
Why B fails: Possible does not establish most likely, especially without comparing alternatives.
Why C fails: Uncertainty about Harrow is not evidence excluding Harrow.
Why D fails: The evidence is limited, not necessarily useless.
Key takeaway: Keep the author's degree of confidence; do not erase or inflate it.
4.3 Negation and missing evidence
Locate exactly what a negative word cancels. Not all means at least one exception; it does not mean none. 'Not all seedlings survived' allows some to survive or none to survive. None means zero. 'The treatment did not always work' rejects perfect consistency, not every instance of success.
Separate a statement about reality from a statement about knowledge. 'The team did not establish that the treatment worked' does not mean 'the team established that the treatment failed.' The first leaves the result unresolved. Likewise, no surviving written record of an event is not automatically proof that the event never happened.
Missing evidence can matter when evidence would be expected. If a reliable detector should register a substance above a stated concentration, a negative result supports a conclusion about that concentration. Read the method's sensitivity and coverage before interpreting silence.
Academic negatives sometimes express limited support. Cannot rule out X means X remains possible, not that X is established. Not inconsistent with X means compatible with X, not proof of X. For example, marks that are not inconsistent with tool use could still have another explanation.
W4.3: No detection is not automatically no animal
Cameras along one section of a river recorded no otters during four nights. The cameras did not cover the entire river, and an otter could pass the monitored section without entering a camera's field of view.
Which conclusion is warranted?
A. Otters did not use the river during the four nights.
B. Otters used other sections of the river during the four nights.
C. The cameras did not document otter activity during the monitoring period.
D. The cameras establish that otters were absent from the monitored section.
Practice this lesson: 4.02, 4.07, 4.11.
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Answer: C
- The observation is no recorded otters. Coverage and detection are incomplete.
- C reports the observation without turning non-detection into absence or presence.
Why A fails: It extends an incomplete observation to the entire river.
Why B fails: It invents activity elsewhere to explain the missing records.
Why D fails: It ignores the stated possibility of passing undetected.
Key takeaway: Distinguish 'not observed' from 'observed not to occur.'
4.4 Only, if, and required conditions
A necessary condition is required for an outcome. A sufficient condition guarantees the outcome under the stated rule. 'An application is accepted only if it is complete' makes completeness necessary: acceptance guarantees completeness. It does not guarantee that every complete application is accepted.
Compare 'If an application is complete, it is accepted.' This second rule makes completeness sufficient for acceptance. 'Only if' and 'if' point in opposite directions. 'Only members may borrow equipment' means anyone allowed to borrow must be a member; it does not say every member is allowed to borrow.
For an only-if rule, translate the necessary condition into a plain sentence: 'To get the outcome, this condition must hold.' Then test the tempting reversal. Could the condition hold without the outcome? If the passage allows that, the reversed answer is unsupported. A missing required condition rules the outcome out; merely having the condition does not guarantee it.
W4.4: Permission is a requirement
Under the archive's policy, an interview may be released online only if its speaker has given written permission. Some speakers who give permission request a later release date.
Which statement follows from the policy?
A. Every interview with written permission has already been released online.
B. Any interview released online in compliance with the policy has written permission from its speaker.
C. An interview that has not been released must lack written permission.
D. Speakers who give permission cannot request a later release.
Practice this lesson: 4.03, 4.08, 4.13.
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Answer: B
- Permission is required for compliant release.
- Permission alone does not establish that release has occurred; the passage supplies a possible delay.
Why A fails: It converts a requirement into a guarantee of completed release.
Why C fails: Non-release can occur even when permission exists.
Why D fails: It contradicts the explicitly stated requests for later release.
Key takeaway: A required condition is not automatically a guarantee.
4.5 Exact comparisons and baselines
For every comparison, identify what is measured, which groups are compared, and the reference point. 'Warmer than last year' does not mean warm in absolute terms. 'The largest increase' does not mean the highest final value. A group can improve faster and still finish behind another group.
Keep counts, percentages, and percentage points separate. A rise from 20% to 30% is 10 percentage points; relative to the original 20%, it is a 50% increase. Percentage change uses the starting value as the baseline: change divided by starting value. You need only simple arithmetic here; the reading task is recognizing which comparison the sentence makes.
An increasing number does not automatically mean an increasing share. A library can add ebooks while ebooks become a smaller percentage of a faster-growing collection. An average also does not establish every individual's result. Read labels and units before deciding what a number supports.
Shop | April sales | May sales |
|---|---|---|
Redwood | 50 | 80 |
Birch | 200 | 240 |
W4.5: Faster growth, lower total
The table lists the number of notebooks sold by two shops in April and May.
Which statement accurately describes the data?
A. Redwood had the larger numerical increase in sales.
B. Redwood sold more notebooks than Birch in May.
C. Both shops increased their sales by the same percentage.
D. Redwood had the larger percentage increase in sales.
Practice this lesson: 4.04, 4.09, 4.14.
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Answer: D
- Redwood added 30 notebooks: 30 divided by 50 equals 60%.
- Birch added 40 notebooks: 40 divided by 200 equals 20%.
- Redwood grew faster proportionally even though Birch added more notebooks and sold more overall.
Why A fails: Thirty is less than 40.
Why B fails: Eighty is less than 240.
Why C fails: The percentage increases are 60% and 20%.
Key takeaway: Check whether the claim concerns a total, a difference, or a proportion.
4.6 Causal direction and limits of a finding
When two things occur together, several explanations may fit. One may cause the other; causation may run in the reverse direction; a third factor may influence both. Students who attend more tutoring sessions might earn higher grades because tutoring helps, because motivated students do both, or for several reasons together.
Do not replace careful reading with the slogan 'correlation never supports causation.' An association can be relevant evidence for a causal explanation without proving it. Random assignment and a suitable comparison group can strengthen a causal inference because they help separate a treatment's effect from preexisting differences. Still preserve what was measured and the conditions of the study.
Check three dimensions together: direction (which thing affects which), strength (possible, likely, or established), and scope (which population, period, and conditions). A result after two weeks does
not establish a permanent effect. Evidence from one species does not by itself establish the same effect in every species.
W4.6: An association with alternatives
In a survey of 80 neighborhood gardeners, those who composted reported harvesting more vegetables. Researchers did not measure garden size or the amount of time gardeners spent tending their plants.
Which interpretation is best supported?
A. Composting was associated with larger reported harvests among the surveyed gardeners, but the survey did not isolate its effect.
B. Composting caused larger harvests for all neighborhood gardeners.
C. Larger harvests caused the surveyed gardeners to begin composting.
D. Garden size fully explains the difference in reported harvests.
Practice this lesson: 4.10, 4.15.
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Answer: A
- The survey establishes a reported association within its sample.
- Unmeasured differences leave alternative explanations open; they do not establish any particular alternative.
Why B fails: It asserts causation and expands the population.
Why C fails: It selects reverse causation without supporting evidence.
Why D fails: An unmeasured factor is a possible explanation, not a demonstrated one.
Key takeaway: Preserve the finding while leaving unresolved explanations unresolved.
Independent practice
Keep these checks in mind
- Match direction, strength, and scope before deciding that an answer follows.
- Track exactly what quantity, negative, or condition applies to which group.
- Separate totals from changes, percentages from percentage points, and averages from individual results.
- Preserve uncertainty where it exists, and accept strong conclusions when the evidence actually supports them.
Begin with four short drills, then complete twelve multiple-choice questions. Difficulty increases within the set. For every multiple-choice answer, identify a decisive clue and explain why the closest alternative fails.
These four written drills are ungraded. Write your reasoning before opening each model answer.
Drill 4.01
A report says, 'Some of the 12 samples contain salt.' What is the smallest possible number containing salt? What is the largest possible number?
Write a brief answer and identify the words that justify it.
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Quantifiers
Answer: Smallest: 1. Largest: 12.
'Some' establishes at least one. Without an added restriction such as 'but not all,' it does not exclude all 12.
If you missed it: Replace 'some' with 'at least one' before making an inference.
Review lesson: 4.1 Who, how many, and under what conditions?
Drill 4.02
Rewrite 'Not all eight seedlings survived' without using 'not all.' Does the statement guarantee that at least one survived?
Write a brief answer and identify the words that justify it.
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Negation
Answer: At least one of the eight seedlings did not survive. No, it does not guarantee a survivor.
The statement excludes eight survivors. Every number from zero through seven survivors remains possible.
If you missed it: Ask which exact possibility the negative statement rules out.
Drill 4.03
A sensor transmits only when its battery is charged. The sensor's battery is charged. Must the sensor be transmitting? Explain.
Write a brief answer and identify the words that justify it.
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Required conditions
Answer: No. A charged battery is required for transmission, but the rule does not guarantee transmission whenever the battery is charged.
The sensor could have a charged battery and remain idle. Transmission would establish the required charge; charge alone does not establish transmission.
If you missed it: Separate 'required for' from 'enough to ensure.'
Drill 4.04
Attendance increased from 40 students to 50 students. Give the numerical increase and percentage increase. Explain why 20% is the wrong percentage increase.
Write a brief answer and identify the words that justify it.
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Comparison baselines
Answer: The numerical increase is 10 students. The percentage increase is 25%: 10 divided by the original 40.
Twenty percent uses 50, the ending attendance, as the denominator. Percentage increase compares the change with the starting amount.
If you missed it: Circle the starting value before calculating percentage change.