Living standards and Kate Bush maths

Episode Summary

Executive Summary: This episode scrutinizes political and media claims with numbers: it checks Jeremy Corbyn’s “falling living standards” claim, finds campus sexual-harassment figures don’t prove an “epidemic,” explores pop songs with mathematical content, assesses conflicting election polls, and debunks fears that “blue passports” will cost taxpayers half a billion pounds.

Main Topics: Living standards and Labour’s claim: Jonathan Cribb of the IFS explains that living standards are usually measured as disposable income, not wages. UK household incomes fell sharply after the recession but have risen modestly since 2011, with poorer households helped by benefits and top earners hit hardest by weak earnings growth. Guardian campus sexual-harassment figures: The Guardian’s university investigation is examined critically: the published totals show reported allegations, not a trend over time, and the headline “epidemic” is not clearly supported by the numbers or by comparisons with other crime data. Maths in pop music: Kyle Evans uses songs by the Beatles, Bob Dylan, and Kate Bush to show how music can contain mathematical ideas, from correct tax proportions to pi recitations and formula-like song titles. Opinion polls ahead of the election: Matt Singh explains why polls can diverge: sampling noise, fieldwork timing around Easter, and different turnout methodologies. A 12-point gap between polls is unusual but not impossible, and large polling errors matter less when one party has a clear lead. Brexit and the ‘blue passport’ cost claim: The episode debunks claims that new passports will waste £500 million on Brexit symbolism. The contract is spread over 10 years, passports are self-funded through fees, and redesigns happen periodically for anti-counterfeit reasons.

Key Arguments: Living standards should be measured using income after taxes and benefits, not just wages; on that basis, average UK incomes were not falling in the latest data. The biggest post-crisis falls in living standards came between 2009 and 2011-12, driven mainly by earnings declines, not immediately in 2007-08. Lower-income households can be better off over the period because benefit increases mattered more to them than employment earnings. The Guardian’s sexual-harassment dataset is a static total of allegations across six years, so it does not establish a rising trend or justify calling the situation an epidemic. Comparing one reported allegation per 72,000 students per year with police sexual-crime reporting rates is not directly comparable, though it suggests the headline is overstated. Polling differences can arise from methodology, likely-voter filters, and timing; a 12-point divergence is notable but can still reflect noise rather than true contradictory public opinion. A large Conservative lead in polls may make pollsters’ errors less politically consequential than in a close contest. The passport contract cost is not a one-off Brexit bill; it is part of a routine procurement cycle and is paid through passport fees rather than general taxation.

Data Points: Average household income trend: Modest growth since about 2011; above pre-recession level by 2015-16 - IFS data on UK living standards Recession-era income drop: Big falls between 2009 and 2011-12 - IFS explanation of delayed recession effects Top 10% incomes: About the same as before the recession - Comparison from 2007-08 to the latest available period Top 1%-2% earnings group: Roughly £90,000 to £120,000 - High earners discussed as the worst-performing group in real earnings terms Guardian allegations count: 169 allegations - Student complaints against staff across six years at 120 universities Universities covered: 120 universities - Guardian investigation sample Student population: About 2 million - Used to estimate allegation rate Reported incident rate: Around 1 per 72,000 students per year - Derived from Guardian data ONS sexual crime reporting rate: 1 reported sexual crime per 670 people - England and Wales, 2015 Comres Conservative lead: 21 points - Election polling ahead of the snap general election Opinium Conservative lead: 9 points - Alternative poll showing a much smaller Conservative lead Difference between polls: 12 points - Gap between Comres and Opinium results Easter weekend timing: Tuesday to Thursday before Easter - Fieldwork period cited as potentially quirky for polling Passport contract value: £490 million - 10-year tender for designing and producing British passports Annual passport contract cost: £50 million a year - Converted from the 10-year total Per-person cost claim: Less than £1 per person - Spread across the population Passport renewal fee: £72.50 - Revenue source for passport production and design Previous passport contract: £400 million - Earlier 5-year contract cost Increase from previous contract: 22% - Comparison with the prior passport procurement Pi accuracy claim: NASA uses 15 decimal places - Used to argue Kate Bush’s pi recitation error is not practically important

Pivotal Quotes: "When policy makers or economists talk about living standards what they really often mean is people's incomes." — Jonathan Cribb: Defines the correct economic measure used to assess Corbyn’s claim "The Guardian isn't telling us whether things have been getting worse. Instead, they're totalling up all cases over a six-year period, and so this is a static picture. It's not a trend." — Charlotte MacDonald: Critique of the university harassment headline "It is unusual to see a gap that big." — Matt Singh: Assessment of the 12-point difference between election polls

Implications: Listeners are reminded to separate rhetoric from measurement: many headline claims hinge on definitions, timeframes, and methodology. The episode encourages skepticism toward sensational data use in politics, media, and campaign narratives.