Grade 11 · Reading & language

Compare what conflicting-looking reports count

Resolve apparent discrepancies by identifying differences in definitions, denominators or measurement intervals.

8 authored questions + worked example

Worked example

Report A records 400 library visits during one week, counting each entry. Report B records 260 different visitors that week, counting each person once even if they returned.

Which difference explains why the numbers need not conflict?

Answer & why

Answer: One counts entries, while the other counts distinct people.

Returning visitors can produce multiple entries but only one distinct-person count.

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All questions

All 8 authored questions for this skill.

Question 1

An order was placed three days before dispatch. Delivery arrived four days after dispatch. Report A measures four days from dispatch; Report B measures seven days from the order.

Which difference reconciles these reports?

  1. The timing starts at different events.
  2. Neither report includes a starting event.
  3. The package arrived before it was ordered.
  4. The reports use identical start times.
A hint

Before declaring two reports contradictory, compare what each number counts, the denominator, the time interval and the definition used.

Answer & why

Answer: The timing starts at different events.

The extra three days before dispatch are included only when counting from the order.

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Question 2

Of 100 enrolled participants, 80 began a course and 72 finished. Report A describes completion among starters as 90%; Report B describes completion among all enrollees as 72%.

Which difference explains both percentages?

  1. Both percentages divide by 100.
  2. The figures show no one began the course.
  3. The reports divide the same 72 completions by different group totals.
  4. The passage says all 100 people finished.
A hint

Before declaring two reports contradictory, compare what each number counts, the denominator, the time interval and the definition used.

Answer & why

Answer: The reports divide the same 72 completions by different group totals.

72/80 is 90%, whereas 72/100 is 72%. The denominators are different and explicitly stated.

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Question 3

Report A records 400 library visits during one week, counting each entry. Report B records 260 different visitors that week, counting each person once even if they returned.

Which difference explains why the numbers need not conflict?

  1. Both count each person exactly once.
  2. One counts entries, while the other counts distinct people.
  3. A visit and a distinct visitor must always be the same measure.
  4. The reports concern different centuries.
A hint

Before declaring two reports contradictory, compare what each number counts, the denominator, the time interval and the definition used.

Answer & why

Answer: One counts entries, while the other counts distinct people.

Returning visitors can produce multiple entries but only one distinct-person count.

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Question 4

In a survey of the same group and week, Report A says 60% used the bus at least once. Report B says 20% used it every day.

Which distinction matters when comparing these findings?

  1. Using a bus at least once is different from using it every day.
  2. The reports use the same frequency requirement.
  3. The second percentage proves nobody used a bus.
  4. Both percentages must add up to exactly 100%.
A hint

Before declaring two reports contradictory, compare what each number counts, the denominator, the time interval and the definition used.

Answer & why

Answer: Using a bus at least once is different from using it every day.

Daily users can be part of the at-least-once group, so these are different thresholds rather than competing totals.

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Question 5

A project began on a Monday and ended fifteen calendar days later. Report A counts all fifteen calendar days. Report B counts only the school days within that interval.

What should a reader compare first?

  1. Which report has the larger title.
  2. Whether all school days are weekends.
  3. Whether days means all calendar days or only school days.
  4. Whether the same interval can contain no calendar days.
A hint

Before declaring two reports contradictory, compare what each number counts, the denominator, the time interval and the definition used.

Answer & why

Answer: Whether days means all calendar days or only school days.

The reports use different definitions of a counted day. A smaller school-day total need not contradict the calendar-day total.

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Question 6

A reading list offers 30 titles: 20 printed titles and 10 digital-only titles. Report A counts all 30. Report B counts the 20 available in print.

Which difference explains the totals?

  1. Report B includes more formats than Report A.
  2. The passage says there are no printed titles.
  3. Both reports count only digital titles.
  4. Report A includes digital-only titles that Report B excludes.
A hint

Before declaring two reports contradictory, compare what each number counts, the denominator, the time interval and the definition used.

Answer & why

Answer: Report A includes digital-only titles that Report B excludes.

The two totals apply different inclusion rules, both stated in the passage.

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Question 7

For the same set of journey times, Report A gives the mean as 12 minutes. Report B gives the median as 9 minutes. Each report labels its statistic explicitly.

What is the most useful first distinction?

  1. Both reports state the largest journey time.
  2. A statistic can never describe journey times.
  3. The reports give different statistics, so the values need not be equal.
  4. Mean and median must always have identical values.
A hint

Before declaring two reports contradictory, compare what each number counts, the denominator, the time interval and the definition used.

Answer & why

Answer: The reports give different statistics, so the values need not be equal.

Mean and median summarize a set in different ways; different labeled values are not automatically a contradiction.

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Question 8

Attendance rose from 200 people to 220. One report describes a 10% increase; another describes 20 additional people.

How do the descriptions relate?

  1. One reports a decrease and the other an increase.
  2. One expresses the change relatively and the other as a number of people.
  3. The reports must concern different events.
  4. Both describe a change of 200 people.
A hint

Before declaring two reports contradictory, compare what each number counts, the denominator, the time interval and the definition used.

Answer & why

Answer: One expresses the change relatively and the other as a number of people.

The added 20 is 10% of the original 200. Both descriptions can accurately describe the same change.

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