Given that some countries are richer than others, and some have larger populations, what should the Olympic medal tally really have looked like? Also: numbers help us understand the world. But for Daniel Tammet, author of “Thinking in Numbers". They don't just help him to understand the world - but to be a part of it.

Given that some countries are richer than others, and some have larger populations, what should the Olympic medal tally really have looked like? Also: numbers help us understand the world. But for Daniel Tammet, author of “Thinking in Numbers". They don't just help him to understand the world - but to be a part of it.

Last week Knight Capital lost a lot of money very quickly. It was the latest chapter in the story of something called ‘high frequency trading’. Investors have always valued being the first with the news. But high frequency trading is different: algorithms execute automatic trades, conducted by computers, at astonishing speeds. We ask: is the rapid growth of high frequency trading progress, or – as some think – a threat to the stability of the entire financial system?

There was controversy this week after Ye Shiwen, a young Chinese swimmer, won the 400 metre individual medley in fine style. A US swimming coach called the performance "disturbing", implying that she may have cheated. More or Less investigates the numbers and finds there's no statistical smoking gun.

There was controversy this week after Ye Shiwen, a young Chinese swimmer, won the 400 metre individual medley in fine style. A US swimming coach called the performance "disturbing", implying that she may have cheated. More or Less investigates the numbers and finds there's no statistical smoking gun.

Last week's mass-shooting at a cinema in Colorado has - not surprisingly - intensified America's bitter and long-running argument with itself about gun control. The argument is political and highly partisan. But it is also practical: would tighter gun laws actually lead to fewer gun deaths? You might think it's obvious that they would. But it seems the evidence isn't quite that clear. Also: how have Olympians changed in the last century?

Last week's mass-shooting at a cinema in Colorado has - not suprisingly - intensified America's bitter and long-running argument with itself about gun control. The argument is political and highly partisan. But it is also practical: would tighter gun laws actually lead to fewer gun deaths? You might think it's obvious that they would. But it seems the evidence isn't quite that clear. Also: how have Olympians changed in the last century?

The Tour de France, we are told, has finally cleaned up its act and clamped down on the use of performance-enhancing drugs. But if it has, should we expect today’s drug-free riders to be slower than their drug-fuelled forebears? Can statistics tell us whether the Tour de France really is cleaner than it was? Also in the programme: does when you retire influence when you die?

The Tour de France, we are told, has finally cleaned up its act and clamped down on the use of performance-enhancing drugs. But if it has, should we expect today’s drug-free riders to be slower than their drug-fuelled forebears? Can statistics tell us whether the Tour de France really is cleaner than it was? Also in the programme: does when you retire influence when you die?

How much damage did messing with Libor really do to the financial system? And we investigate the claim made by a leading charity that a million British children are "starving".

How much damage did messing with Libor really do to the financial system? After all, most financial trades are two way bets – and for every winner, there is a loser.

Do residents of the tiny micronesian island of Palau really smoke more cannabis, and drink more beer, than anyone else?

What is the highest-earning film ever if you adjust for inflation? And are birthdays killing us?

How fat could the global population become? Plus, Angela Saini considers whether statistics could settle the disputed result of the world title fight between boxers Manny Pacquiao and Timothy Bradley. This programme was first broadcast on the BBC World Service.

Is the likelihood of bumping into your boss on holiday greater than you think? Angela Saini and the More or Less team assess the probabilities of some of life's great coincidences. This edition of More or Less was first broadcast on the BBC World Service.

Tim Harford interviews Daniel Kahneman, a psychologist who won the Nobel Prize in Economics. The author of Thinking, Fast and Slow describes the common mistakes people make with statistics.

How many images of Queen Elizabeth II have ever been created? And is Facebook really worth more than twice as much as every company on the Nigerian Stock Exchange?

Is there any evidence to support the Beecroft Review's recommended changes to employment law? Plus: hard-working Greeks, infidelity, and Ben Goldacre on publication bias.

It’s a very commonly-held belief that men are less faithful than women But it takes two to tango. So can this be mathematically possible? And we answer a cry for help from an Australian listener who wants to be “a bit more average”.

Earlier in the year we found out that Greeks put in more working hours than Germans. But the Germans are more efficient. So that got us thinking: who works the longest hours in the world?

Troubled families, nursing numbers and the mathematical consequences of unneutered cats.

Would it be cheaper to send every Greek rail passenger by taxi instead? This programme was first broadcast on the BBC World Service.

Executive pay, chess and trouble on the Greek railway.

Are we witnessing a grand economic experiment being played out between Europe, trying to cut its way out of trouble, and the United States, trying to spend its way to redemption? Plus, we investigate the height of North Koreans. This programme was first broadcast on the BBC World Service.

Are we witnessing a grand economic experiment playing out between Britain and the United States? How long have travellers been waiting to get through immigration at Heathrow? Plus, are you going to destroy the economy this bank holiday weekend?

The Midas Formula - In this week's More or Less: The story of Black-Scholes, the equation that transformed Wall Street – and the arguments over whether it made the world a better place, or helped cause the financial mess we have all been dealing with for the past five years. This programme was first broadcast on the BBC World Service.

Is the rate of species extinction exaggerated - or even unknowable? Producer: Richard Knight This programme was first broadcast on the BBC World Service.

Are there really more Porsche Cayenne owners in Greece than taxpayers earning over 50,000 euros? Can there really be 30,000 chauffeur driven cars for the exclusive use of Italian politicians? Would it really be cheaper to send everyone by taxi than train in Greece and is youth unemployment in Spain really 50%? Ruth Alexander and Wesley Stephenson take a very close look at some widely reported Eurostats to see whether they stand up to scrutiny for out this week's More or Less. This programme was first broadcast on the BBC World Service.

The Royal Mail says UK stamp prices are still among the best value in Europe, despite an imminent steep price rise. Tim Harford finds out whether this is true, and compares the price of postal services around the world. Plus, he finds out how, after being invented by Indian mathematicians, modern numbers became established in the ancient Arab world and then journeyed on to Europe in what was essentially the first maths textbook ever written, "Liber Abaci". Its author was Leonardo of Pisa, better known as Fibonacci. Tim speaks to Keith Devlin, author of The Man of Numbers, to find out more. This programme was first broadcast on the BBC World Service.

Do Manchester United and other leading clubs like Real Madrid and Barcelona benefit from biased refereeing decisions when they play in front of their home crowd? It’s a widely-held view, but Tim Harford challenges it with a look at the penalty statistics. Plus, he meets Hans Rosling of Gapminder at the Skoll World Forum: if you want to understand the world you’re living in, and how it will be different to the world your children and grandchildren will live in, listen to this interview. This programme was first broadcast on the BBC World Service.

If there were perfect income equality worldwide, and everybody earned the same amount of money, how much would they earn? And what is the average employee wage across the world? Tim Harford answers both these questions. Plus, he attempts to rank the world’s top military forces. This edition of the programme was first broadcast on the BBC World Service.

Eating an extra portion of red meat every day is associated with an increased risk of death, says a new study. But what does this mean? A risk expert works it out for Tim Harford. Plus, which are the world’s largest employers? This edition of More or less was broadcast on the BBC World Service.

Tim Harford explains why the technology giant Apple is not bigger than Poland, as media reports have claimed. And he scrutinises the claim that the Millennium Development Goal on safe drinking water has been achieved ahead of schedule. The World Health Organisation, which along with Unicef announced that the target had been met, concedes that the numbers are not actually that certain. This programme was originally broadcast on the BBC World Service.

Tim Harford assesses how global poverty is measured, as the World Bank releases the latest figures on the number of people living on less than a dollar a day. What progress has been made, and how useful a benchmark is this “dollar a day” global poverty line? This programme was originally broadcast on the BBC World Service.

Fifty-five per cent of Syrians do not think their leader President Assad should resign, according to media reports of an opinion poll. It’s a striking number, given the bloody violence that has broken out in Syria. But Tim Harford discovers that, on closer inspection, the statistic is not what it seems. Plus, which European country works the longest hours? You might be surprised. This programme was first broadcast on the BBC World service.

Can you measure your popularity – or that of anyone or anything – by the number of results that an internet search generates? Tim Harford points the finger at lazy journalists. Plus, a professor of economics assesses the accuracy of a groundhog’s weather forecasts, made famous by the Hollywood film Groundhog Day. This programme was originally broadcast on the BBC World Service.

How do you measure a famine? Following the UN’s recent announcement that famine conditions have ended in Somalia, More or Less explores what the definition of a famine is – and how definite a definition it is. Tim Harford hears from Grainne Moloney, head of the UN’s Food Security and Nutrition Analysis Unit and Professor Stephen Devereux from the Institute of Development Studies. Also in the programme: Muhammed Ali’s boxing trainer, Angelo Dundee, was arguably one of sport’s greatest behind-the-scenes figures. But did he really deliberately tear Ali’s boxing glove to win the star crucial recovery time in his 1963 fight against Sir Henry Cooper? Tim Harford gets out his stopwatch for a simple exercise in counting. This programme was originally broadcast on the BBC World Service.

Tim Harford investigates one of the most popular questions from More or Less listeners: “Are there more people alive today than have ever lived?” It is a zombie statistic that every time it is laid to rest it rises again. He also looks at whether science fiction writer Arthur C Clarke was right when he suggested that behind every living person are 30 ghosts. He also investigates the strange story of Michelle Obama’s shopping trip to a lingerie store in New York. Can she really have spent $50,000 on underwear? This programme was originally broadcast on the BBC World Service.

Which are the world’s biggest cities, and what are their populations? Two simple questions that we discover are surprisingly difficult to answer. Plus, has the world got heavier or lighter since the industrial revolution? It’s a question posed by a More or Less listener that got us wondering, too. Dr Chris Smith, part of a group of Cambridge University researchers, known as the Naked Scientists, reckons he’s worked out the answer. This programme was originally broadcast on the BBC World Service.

A four-year bet about global warming between two scientists is settled. In 2008, after there had been no new record for the global average temperature set since 1998, David Whitehouse and James Annan disagreed over whether there would be a new record by 2011. As the UK Meteorological Office publishes the figures for the past year, presenter Tim Harford brings the two scientists together. Who has won, and does the victory tell us anything about global warming? Plus, Peter Stott from the Met Office tells us how the world’s temperature is measured. Also in the programme: sports statistician Robert Mastrodomenico attempts to predict the results of the 2012 Africa Cup of Nations football tournament. Will his numerical analysis impress the BBC’s African football expert Farayi Mungazi? This programme was originally broadcast on the BBC World Service.

President Hugo Chavez of Venezuela thinks the US may have developed a secret technology to give him and other Latin American leaders cancer. He said the fact that several presidents have had cancer is "difficult to explain using the law of probabilities". Is he right? Tim Harford speaks to Dr Eduardo Cazap, president of the Union of International Cancer Control. Plus, it is often said that there are more Malawian doctors in the British city of Manchester than there are in Malawi. Can this be true? And if professionals emigrate is it always bad news for the country they leave? The programme hears from John Lwanda, a Malawian doctor based in the UK; and Robert Guest, author of "Borderless Economics". This programme was originally broadcast on the BBC World Service.

High Speed rail - Tim Harford speaks to railway consultant Chris Stokes and Alison Munro from HS2 Ltd. He investigates the different measures of the rise in executive pay with Steve Tatton from Income Data Services and Sarah Wilson from research group Manifest. And resolves a four year-old bet on climate change between climate scientist James Annan and astrophysicist David Whitehouse and Wesley Stephenson looks behind the figures for youth unemployment in Spain.

Tim Harford tackles the use of statistics in court, the average rise in rail fares, infinity and resolves another marital dispute about probability.

A guide to interesting, informative or just plain idiosyncratic numbers of the year. Plus, does probability really exist? Contributors: David Spiegelhalter, Professor of the Public Understanding of Risk at Cambridge University; Owen Spottiswoode, Fullfact.org; Tracey Brown from Sense about Science; Jil Matheson, UK Statistics Authority; George Monbiot; Sir Mark Walport, Director of the Wellcome Trust; Money Box presenter Paul Lewis; Sports Statistician, Robert Mastrodomenico; Dr Linda Yeuh Economics Correspondent at Bloomberg; Stand up Mathematician Matt Parker

Tim Harford on income inequality in the UK, and elsewhere. He speaks to Professor Sir Tony Atkinson of Oxford University; Stewart Lansley, author of 'The Cost of Inequality'; and Professor Donald Boudreaux of George Mason University. Also, David Spiegelhalter, the Winton Professor of the Public Understanding of Risk at Cambridge University explains why he took on what could be his riskiest venture to date - appearing on BBC One's Winter Wipeout. Plus, the magic of maths with magician and Stanford maths professor Persi Diaconis.

In the week scientists at the Large Hadron Collider announced that the most coveted prize in particle physics - the Higgs boson - may have been found, Tim Harford hears that the statistical significance is being mis-reported. Plus, the difficulties of cornering a market (especially when the commodity is a 1980s plastic doll). And, Tim Harford talks to author Keith Devlin about how Fibonacci revolutionised trade by introducing medieval businessmen to simple arithmetic.

Tim Harford on National Literacy Trust figures and the maths of supermarket price wars. Plus, he continues to scrutinise the popular statistics of the Eurozone crisis - do Italian tax payers really shell out 2 billion euros a year for their politicians to be chauffeured around? And, what are the odds of cracking six double-yolk eggs in a row?

In the week of a nationwide strike over pension changes, Tim Harford explains how the government can make public sector pensions sound generous, at the same time the unions can make them sound small. And he finds out why a Greek national statistician is under suspicion of committing crimes against numbers. Plus, is it really true that there are more Porsche Cayenne owners than tax payers declaring an income of more than 55,000 euros in Greece? Also, are affordable homes affordable? And can the whole world fit on the Isle of Wight? Tim tries to cram his studio full of Radio 4 presenters and producers to test the theory.

In a change to our usual format, we are podcasting Matthew Taylor's "Brain Culture" series. The former Number 10 strategy head looks at politics and mind control, asking if new knowledge about the human brain will allow us to make better choices or leave us open to ever more manipulation .