More or Less: Behind the Stats - WS More or Less: The world?s most diverse city

Is London the most diverse city in the world? The new London mayor Sadiq Khan has claimed that it is, but is he right? How is diversity measured?

This month, British mathematician Sir Andrew Wiles will go to Oslo to collect the Abel prize, a prestigious maths prize for his work proving Fermat?s last theorem. Science author Simon Singh explains his work.

Producers: Laura Gray and Ed Davey.

More or Less: Behind the Stats - WS More or Less: Leicester City football fluke?

At the beginning of the season of the English football Premier League, few people would have been brave enough to predict that Leicester City would finish top. But was it that surprising?

Tim Harford speaks to Lord Finkelstein, a political journalist, who has been running his own statistical model to assess the teams in the Premier League. We also hear from James Yorke from the football analytics website Stats Bomb. Was Leicester?s success down to the team?s skills, or was it down to luck?

Start the Week - Technology in Education

On Start the Week Andrew Marr explores the use of technology in education. Professor Sugata Mitra has installed an internet-connected PC in a slum in India and watched how curiosity leads children to learn together. Digital technology is increasingly used in schools but the educationalist Neil Selwyn questions whether this is a positive step. The writer Lynsey Hanley looks at how class is embedded in the education system and the former Headmaster at Eton, Tony Little, on his vision for the future of schooling. Producer: Katy Hickman.

More or Less: Behind the Stats - The most profitable product in history

Recently one of our listeners contacted us to say he heard a BBC correspondent describe the iPhone as the most profitable product in history. It was just an off-the-cuff comment but it got us thinking ? could it be true? We asked listeners to get in touch with their suggestions. We take a look at a handful of them, from Viagra to popcorn in our quest for an answer. Could it be something more historical?

EU and trade: We take a look at the numbers on trade and at the UK?s relationship with the EU. Tim Harford interviews Chad P. Bown, a Senior Fellow at the Peterson Institute for International Economics.

Leicester City's Premier League success: At the beginning of the football season we explored the fallibility of predictions from experts and fans. As the season is ending, that is the only prediction we made correctly ? that they are usually very wrong. Leicester City has had an astonishing success in winning the English Premier League. We take a look at the numbers behind the team?s performance.

Sexist Data Crisis: Are countries around the world failing to collect adequate details about their female citizens? Campaigners have argued we are missing data in areas that would help us understand women?s lives better, for example land and inheritance rights. We also explore how women?s work can be overlooked from labour surveys.

More or Less: Behind the Stats - WS More or Less: Simpson?s Paradox

A Dutch statistician recently became suspicious by headlines in the Dutch news that women were being discriminated against when it came to getting science research funding. Professor Casper Albers of the Heymans Institute for Psychological Research, Groningen, discovered that the study into the funding process showed that when you looked at the overall numbers of successful candidates, women seemed to be less successful than men. And yet, when you looked at a breakdown of the different subjects people could apply for, it showed that women were not losing out disproportionately to men. How could two opposite findings be true? This contradiction is explained by a famous statistical paradox. We explain what is known as Simpson?s Paradox with the aid of a choir metaphor, performed by the BBC Singers.

Start the Week - Cross-dressing and masculinity with Grayson Perry

On Start the Week Grayson Perry discusses the concept of masculinity in modern Britain with Mary Ann Sieghart. The new artistic director at the Globe Theatre, Emma Rice, explains how she is playing with gender in Shakespeare's Midsummer Night's Dream, and the celebrated mezzo-soprano Alice Coote talks of her career in 'breeches', singing the male role. The former artists' model, Kelley Swain reveals what it's like being the object of a work of art. Producer: Katy Hickman.

More or Less: Behind the Stats - EU Migration

How many people have come from the EU to live in the UK? And what impact do they have on the economy? This week it was reported there had been an increase in fire deaths ? we aren?t so sure. We explain the achievement of Abel Prize winning mathematician Sir Andrew Wiles for Fermat?s Last Theorem. Plus, we explore the numbers behind Simpson?s Paradox.

More or Less: Behind the Stats - WS More or Less: Most Expensive Building

What is the most expensive ?object? ever built? There are plans in the UK to build a brand new nuclear power station called Hinckley Point. The environmental charity Greenpeace have claimed it is set to be the most expensive object on Earth. But could it really cost more to build than the Great Pyramid of Giza? We take a look at some of the most costly building projects on the planet.

Start the Week - Anish Kapoor on Light and Dark

On Start the Week the sculptor Anish Kapoor talks to Andrew Marr about his fascination with voids and black holes, and his excitement at the latest technological advances in deepest black: vantablack. The astrophysicist Martin Ward explains his research into supermassive black holes and why we're finding more of them, while the solar physicist Lucie Green journeys to the centre of the sun where each photon takes hundreds of thousands of years to reach the surface, but just eight minutes to shine as light on the Earth. Writer Ann Wroe walks on the Downs to experience how light affects Nature, and she turns to the artists to meditate on the nature of light. Producer: Katy Hickman

Picture credit: Anish Kapoor.

More or Less: Behind the Stats - Brexit numbers

EU Treasury report

This week there was much debate over the Treasury report which modelled how leaving the EU would affect the economy. Tim Harford speaks to the Spectator?s Fraser Nelson about how the document was presented to the public, and how it was reported. Chris Giles of the Financial Times explains that there are useful points to take from the Treasury?s analysis.

Hinckley Point nuclear power station

What is the most expensive ?object? ever built? The environmental charity Greenpeace has claimed it is set to be the most expensive object on Earth. But could it really cost more to build than the Great Pyramids? We take a look at some of the most costly building projects on the planet.

Chances of serving on a jury

A listener in Scotland is curious to know what the chances are of being selected for jury service. Several of his family members have received summons, but he has not. We look at who is eligible to serve, and what your odds are of receiving a summons.

European Girls Maths Olympiad

Last week we told the story of how the European Girls Maths Olympiad (EGMO) came into being. We followed the UK team on their recent journey to Romania to compete against 38 other teams from Europe and around the world.

Life expectancy of a Pope

In 2014 Pope Francis alluded to the fact he didn?t expect to live more than another two or three years. A group of statisticians have taken a look at the life expectancy of popes over the centuries and decided that he may have been rather pessimistic.

Presenter: Tim Harford Producer: Charlotte McDonald