More or Less Behind the Statistics
More or Less Behind the Statistics

Does the average teacher really earn £54,000?

Tim Harford investigates some of the numbers in the news. This week: (00:32) A government minister has informed the nation that average teacher pay in England is around £54,000. Radio 4 listeners are howling at the radio in disbelief. Surely someone from the IFS would be able to explain all this? We

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Episode Summary

Executive Summary: The episode fact-checks several viral or disputed claims: teacher pay in England is around the low-£50k range before upcoming rises; Russian troop life-expectancy claims on the Ukrainian front are based on shaky, likely unreliable Telegram sourcing and are implausible as broad averages; rail is often pricier than flying on some UK routes but not always once timing, load factors, taxes and subsidies are considered; and a shuffled deck of cards can be said to be effectively unique because the number of possible arrangements is astronomically large, though not literally impossible.

Main Topics: Teacher pay in England (Priority: 5/5): The show examines a minister's claim that average teacher pay is around £54,000, explaining the difference between current median pay, upcoming pay rises, and why listeners were surprised by the figure. Source-checking Russian combat survival claims (Priority: 5/5): A reported average life expectancy of 20 minutes on the Ukrainian front is traced through multiple layers of Telegram, blogs, and journalism, with experts questioning both the source quality and the plausibility of the numbers. Why flights can be cheaper than trains (Priority: 4/5): Using the London-Edinburgh route, the episode compares fares and explains how occupancy rates, competition, subsidies, and tax treatment affect relative prices. Are shuffled decks ever truly unique? (Priority: 4/5): Matt Parker explains combinatorics and factorials to show that the number of possible 52-card arrangements is enormous, making repeated shuffles effectively unprecedented even if not mathematically impossible. Statistics, uncertainty, and public misunderstanding (Priority: 4/5): Across all segments, the program emphasizes careful interpretation of averages, media headlines, and highly uncertain claims, especially when numbers are used out of context. Teacher pensions and compensation (Priority: 3/5): The discussion broadens from salaries to pensions, noting that teachers receive generous public-sector defined-benefit-style retirement benefits compared with the private sector.

Key Arguments: Teacher pay is not as low as some listeners assumed; the median among classroom teachers is about £51,000 and projected rises push average pay toward £54,000. The distribution is shaped by many teachers on the upper pay scale plus extra responsibilities and London allowances, which raise the median. Teacher pay has fallen in real terms by around 12% from 2010 to 2022, so recent nominal increases may still leave it below earlier real levels. The Russian troop survival figures cited by The Independent are built on weak, indirect Telegram sourcing and cannot be treated as verified statistics. Even if some Russian assault units suffer very high losses, claims of 10 days to 3 weeks from training or 20 to 35 minutes in combat are not plausible as general averages. Rail fares can be comparable to or lower than air fares on some dates, but trains often carry fewer paying passengers and require substantial public subsidy and infrastructure spending. Airlines benefit from high seat occupancy and favorable tax treatment relative to rail, which helps explain price competitiveness. A deck of cards has so many possible arrangements that matching a prior shuffle is effectively zero for practical purposes, though not mathematically impossible.

Data Points: Teacher median pay in England: around £51,000 - Median pay for classroom teachers before future pay rises, according to Luke Sibieta of the IFS Projected average teacher pay: around £54,000 - Expected after September this year and next September's pay rises Teacher pay real-terms change, 2010-2022: down around 12% - Teacher salaries fell in real terms over this period Teacher pay vs 2010: about 7% lower than in 2010 - Despite recent rises, pay remains below 2010 levels in real terms Inner London top pay scale: around £63,000 - Top of the pay scale for teachers in inner London Outside London top pay scale: around £51,000 - Top of the pay scale outside London Teachers' pension employer contribution: around 29% - Average employer pension contribution for teachers in the public sector Private-sector pension contribution comparison: maybe around 6% - Illustrative comparison with private-sector employer contributions Russian recruit life expectancy claim: 10 days to 3 weeks - Claim attributed via Telegram-based sourcing for new recruits from training to death in combat zone Russian fighter survival in combat claim: 20 to 35 minutes - Claim about survival after reaching the battlefield Russian forces engaged overall: about 700,000+ - Estimate cited by Mark Galeotti for troops engaged in the war overall Russian troops in assaults at any time: about 50,000 - Estimate of those actively involved in assaults at once Russian casualties (wounded and dead): roughly 35,000 - Approximate figures discussed against the survival-time claims Highest estimates of dead: 20,000 - Upper-end estimate of actual Russian dead mentioned Train occupancy: about one in three seats filled - Average train load factor discussed by Simon Calder Airline occupancy: about 85% on average - Average seat filling for airlines Ryanair occupancy: about 95% - Very high seat fill rate cited as aiding low fares Cheapest train fare London-Edinburgh (day before): about £80 - Example fare for evening rush hour Cheapest plane fare London-Edinburgh (day before): about £138 - Example fare at tea time before travel Cheap evening flight fare: £9.20 - Low-cost flight fare cited for evening travel Comparable train fare with flight timing: £79 - Train catch-up comparison with a 6:30 train from King's Cross Cheapest train fare four weeks ahead: about £50 - Advance booking comparison Cheapest plane fare four weeks ahead: about £38 - Advance booking comparison Very low-cost Ryanair flights: £15 - Lowest flight fares mentioned when searching flexibly Cheapest train found in flexible search: £42 - Lowest rail fare mentioned in flexible search 13-card suit arrangements: over 6 billion unique arrangements - Factorial result used to show how many ways one suit can be ordered 52-card deck arrangements: 8 followed by 67 digits - Approximate size of 52 factorial, showing the enormous number of shuffles Collision probability after massive shuffling: 1 in 4 x 10^26 - Estimated chance two shuffles match even after 10 billion humans shuffle once a second for longer than cards have existed

Pivotal Quotes: "The average teacher pay is going to be around £54,000. The median pay for teachers in England is currently around £51,000." — Luke Sibieta: Explaining the minister's claim and the underlying distribution of teacher salaries "We were also not able to find a post that referred to the same study, which for all we know may have been just made up by this anonymous author." — Andrei Vladov: On the weak and unverified Telegram chain behind the Russian life-expectancy statistic "They just get so ridiculously big so quickly." — Matt Parker: Describing why factorials explode in size and why card-shuffle collisions are effectively impossible

Implications: Listeners should treat averages, viral war statistics, and price comparisons cautiously: context, sampling, and incentives matter. Many striking numbers are either approximate, time-sensitive, or based on weak sourcing, while some 'impossible' events are only effectively impossible, not literally so.

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About More or Less Behind the Statistics

Tim Harford and the More or Less team try to make sense of the statistics which surround us. From BBC Radio 4

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