New browser plugin stops people bamboozling you with numbers

Dictionary of Numbers provides that much needed context.

I've written before about how numbers without context are meaningless. Remember the claim that "every year in Spain alone… between 6 and 18 million birds and bats are killed by wind farms"? We're used to things that number in the millions being a lot, but without context, our intuitions can mislead us. So, for instance, if I claimed that "every year in Spain alone, between 6 and 18 million bytes of pornography are downloaded", your gut reaction might be that the Spanish are porn-hungry sex-fiends – until you realise that a moderately sized picture file is around one million bytes. That stat would in fact make Spain one of the most prudish countries in the world.

So, for the wind farm example, we found a few comparisons: in the US, power lines killed 130 million birds a year, while windows took between 100 million and almost a billion each year.

That's useful – and served to put some scaremongering at rest – but we can't all be looking up US Department of Agriculture papers when there's a potentially misleading statistic. So rejoice! For there is now a Chrome extension that can do the same thing automatically.

Dictionary of Numbers "searches through the page for numbers it can understand, and when it finds one, adds an inline explanation for that number in human terms". What that means is that a report of a forest fire destroying 297,845 acres of land is followed up by a little square bracket telling you "[≈ Hong Kong]"; something 100m high is [≈ height of the Statue of Liberty (foundation of pedestal to torch)].

As Glen Chiacchieri, the developer of the extension, writes:

One could write Dictionary of Numbers off as a tool for mathematically-inclined folk, but the fact is that understanding and reasoning about numbers is an essential part of modern society. After all, it's important to know just how much of the United States was on fire.

Sadly, the extension doesn't yet have any comparisons for the figure "8 million birds", so when it comes to dealing with the critiques of climate sceptics, we're still going to have to do it the old-fashioned way. And while it's handy for money in dollars, pound sterling leaves it upset and confused. But there's a third problem with the plugin, as well. As Randall Munroe reports:

It can also come across as unexpectedly judgmental. Glen told me about complaint he got from a user: “I installed your extension and then forgot about it … until I logged into my bank account. Apparently my total balance is equal to the cost of a low-end bicycle. Thanks.”

Alex Hern is a technology reporter for the Guardian. He was formerly staff writer at the New Statesman. You should follow Alex on Twitter.

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The joy of only winning once: why England should be proud of 1966

We feel the glory of that triumphant moment, 50 years ago, all the more because of all the other occasions when we have failed to win.

There’s a phrase in football that I really hate. It used to be “Thirty years of hurt”. Each time the England team crashes out of a major tournament it gets regurgitated with extra years added. Rather predictably, when England lost to Iceland in Euro 2016, it became “Fifty years of hurt”. We’ve never won the European Championship and in 17 attempts to win the World Cup we have only won once. I’m going to tell you why that’s a record to cherish.

I was seven in 1966. Our telly was broken so I had to watch the World Cup final with a neighbour. I sat squeezed on my friend Colin’s settee as his dad cheered on England with phrases like “Sock it to them Bobby”, as old fashioned now as a football rattle. When England took the lead for the second time I remember thinking, what will it feel like, when we English are actually Champions of the World. Not long after I knew. It felt good.

Wembley Stadium, 30 July 1966, was our only ever World Cup win. But let’s imagine what it would be like if, as with our rivals, we’d won it many times? Brazil have been World Champions on five occasions, Germany four, and Italy four. Most England fans would be “over the moon” if they could boast a similarly glorious record. They’re wrong. I believe it’s wonderful that we’ve only triumphed once. We all share that one single powerful memory. Sometimes in life less is definitely more.

Something extraordinary has happened. Few of us are even old enough to remember, but somehow, we all know everything that happened that day. Even if you care little about the beautiful game, I’m going to bet that you can recall as many as five iconic moments from 50 years ago. You will have clearly in your mind the BBC commentator Kenneth Wolstenholme’s famous lines, as Geoff Hurst tore down the pitch to score his hat-trick: “Some people are on the pitch. They think it’s all over. It is now”. And it was. 4 - 2 to England against West Germany. Thirty minutes earlier the Germans had equalised in the dying moments of the second half to take the game to extra time.

More drama we all share: Geoff Hurst’s second goal. Or the goal that wasn’t, as technology has since, I think, conclusively proved. The shot that crashed off the cross bar and did or didn’t cross the line. Of course, even if you weren’t alive at the time, you will know that the linesman, one Tofiq Bakhramov, from Azerbaijan (often incorrectly referred to as “Russian”) could speak not a word of English, signalled it as a goal.

Then there’s the England Captain, the oh-so-young and handsome Bobby Moore. The very embodiment of the era. You can picture him now wiping his muddy hands on his white shorts before he shakes hands with a youthful Queen Elizabeth. Later you see him lifted aloft by his team mates holding the small golden Jules Rimet trophy.

How incredible, how simply marvellous that as a nation we share such golden memories. How sad for the Brazilians and Germans. Their more numerous triumphs are dissipated through the generations. In those countries each generation will remember each victory but not with the intensity with which we English still celebrate 1966. It’s as if sex was best the first time. The first cut is the deepest.

On Colin’s dad’s TV the pictures were black and white and so were the flags. Recently I looked at the full colour Pathe newsreel of the game. It’s the red, white and blue of the Union Jack that dominates. The red cross of Saint George didn’t really come into prominence until the Nineties. The left don’t like flags much, unless they’re “deepest red”. Certainly not the Union Flag. It smacks of imperialism perhaps. In 1966 we didn’t seem to know if we were English or British. Maybe there was, and still is, something admirable and casual about not knowing who we are or what is our proper flag. 

Twelve years later I’m in Cuba at the “World Festival of Youth” – the only occasion I’ve represented my country. It was my chance to march into a stadium under my nation’s flag. Sadly, it never happened as my fellow delegates argued for hours over what, if any, flag we British should walk behind. The delegation leaders – you will have heard of them now, but they were young and unknown then – Peter Mandelson, Trevor Phillips and Charles Clarke, had to find a way out of this impasse. In the end, each delegation walked into the stadium behind their flag, except the British. Poor Mandelson stood alone for hours holding Union Jack, sweltering in the tropical sun. No other country seemed to have a problem with their flag. I guess theirs speak of revolution; ours of colonialism.

On Saturday 30 July BBC Radio 2 will commemorate the 50th anniversary of the 1966 World Cup Final, live from Wembley Arena. Such a celebration is only possible because on 16 occasions we failed to win that trophy. Let’s banish this idea of “Fifty years of hurt” once and for all and embrace the joy of only winning once.

Phil Jones edits the Jeremy Vine Show on BBC Radio 2. On Saturday 30 July the station celebrates the 50th anniversary of the 1966 World Cup Final live from Wembley Arena, telling the story of football’s most famous match, minute by minuteTickets are available from: www.wc66.org