Unlocking the Power of Statistics: Understanding Our Data-Driven World
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Introduction
In today's world, we are surrounded by an overwhelming amount of data, often referred to as the "data deluge." This vast sea of information can easily lead to confusion and misunderstanding. However, the powerful branch of science known as statistics allows us to cut through this noise, helping us make sense of the data that informs our lives. In this article, we will explore the importance of statistics in our understanding of global health, crime patterns, and scientific discovery, discussing tools and philosophies that enable us to translate raw data into meaningful insights.
The Data Deluge
The term "data deluge" describes the tremendous influx of information that comes from various sources, including government reports, international institutions, and social media. This massive volume of data can feel overwhelming, yet it presents an incredible opportunity for informed decision-making and societal improvement—if we learn to harness it properly through statistics.
Understanding Statistics
Statistics is often misunderstood and dismissed as boring; however, it is essential for modern society because it provides a framework for making sense of large datasets. By applying statistical techniques, we can uncover patterns, correlations, and discrepancies that would otherwise remain hidden. There are several key areas where statistics play a pivotal role:
- Global Health: Assessing child mortality rates and uncovering health disparities between countries helps policymakers allocate resources effectively.
- Crime Patterns: Analyzing crime data allows cities like San Francisco to identify hotspots and optimize police presence, improving community safety.
- Scientific Discovery: Statistics underpins the scientific method, enabling researchers to validate hypotheses and explore the relationships between various phenomena.
Global Health and Statistics
Statistics serves as a critical tool in examining global health issues. In teaching students about international health, it is essential to reveal the inequalities that exist worldwide.
The Importance of Statistical Awareness
Statistical literacy is particularly crucial for medical professionals and policymakers. For example, researchers at the Gapminder Foundation utilize public data from institutions like the UN and the World Bank to expose global inequalities.
- They create engaging visualizations (e.g., bubble charts) that highlight disparities across countries concerning health and wealth.
- For instance, the stark realization that Swedish students performed worse on child mortality questions than chimpanzees demonstrates the urgent need for global awareness in health education.
Data Visualization
Data visualization tools help convey complex health statistics in an accessible manner. By utilizing graphical representations, we can communicate vital information efficiently:
- Bar graphs, pie charts, and interactive online maps enable users to visualize trends and patterns quickly, making statistical data engaging and understandable.
Crime Analysis Using Statistics
Statistics profoundly impacts public safety and policing strategies. Cities are increasingly turning to data to fight crime and enhance community engagement.
Real-Time Crime Mapping
Cities like San Francisco are at the forefront of utilizing public data, releasing crime reports in real time:
- Crime Maps: Citizens can analyze crime patterns in their neighborhoods, allowing for informed decision-making regarding travel and safety. For instance, a mapping project illustrated how higher elevations in city neighborhoods correlate with lower crime rates.
- Community Engagement: Equipped with crime data, citizens can demand accountability from law enforcement and advocate for improvements in community safety measurement methods.
The Role of Public Data in Citizen Empowerment
The use of open data has empowered citizens to become advocates for change. By leveraging statistics and gathering evidence from crime maps, communities can hold local authorities accountable. Through teamwork, statistical analysis has made policing transparent, with communities now actively participating in discussions regarding law enforcement practices.
The Impact of Statistics on Scientific Discovery
As we strive for a more profound understanding of the world around us, statistics act as the backbone of scientific inquiry. The increasing availability of data allows researchers to explore new frontiers in many fields.
Data-Driven Science
In the context of scientific research, recent developments in computational power allow for massive datasets to be analyzed more efficiently:
- Exploring Patterns: By examining various distributions within datasets, scientists gain insights into different social processes and environmental interactions.
- Correlation Analysis: Establishing relationships between variables, such as income levels and health outcomes, enables researchers to formulate more comprehensive theories about underlying causes and effects.
Revolutionizing Traditional Methods
Traditional experimental approaches are evolving into more data-centric paradigms, characterized by generating hundreds of thousands of simulations across biological systems:
- High-performance computing is helping scientists account for complex interactions that were previously too daunting to tackle manually.
- Statistics now not only informs but also guides researchers in their explorations while proposing new questions deserving of investigation.
Statistics and Machine Learning
The marriage of statistics and machine learning offers exciting possibilities:
- Predictive Analytics: Organizations can utilize predictive models to forecast trends and incidents.
- Natural Language Processing: Statistics aids in developing algorithms for language translation and sentiment analysis, helping to bridge cultural divides and enhance communication.
The Future of Cross-Language Communication
With the advent of advanced machine translation systems, language barriers continue to diminish. Statistical analyses of language patterns help create tools like Google Translate, enabling real-time conversations between people from different linguistic backgrounds.
Conclusion
Statistics may seem complex at first glance, but it is an invaluable tool in today's data-driven world. By demystifying data and revealing the narratives contained within, statistics allows us to make informed decisions that can shape the future of our communities and societies. Now, more than ever, we have the capability to harness statistics—leading to increased accountability, improved public health, and greater societal awareness.
With our ever-growing datasets, we unravel the stories behind the numbers, enabling everyone to contribute to the conversation around our world's pressing issues. The future of statistics promises new discoveries, deeper understanding, and the potential to change lives for the better.
around us on its own this data is just noise and confusion to make to find the meaning in it we need the
powerful branch of science statistics believe me there's nothing boring about statistics especially not today when we
can make the data thing with Statistics we can really make sense of the world there's more
with Statistics the data Deluge as it's being called is leading us to an Ever greater understanding of life on earth
than we usually like to admit in the last recession there was this famous calling to a talk radio station
the man complained in times like this when unemployment rates are up to 13 and income has fallen by five percent and
suicide rates are climbing I get so angry that the government is wasting money on things like collection of
Carolina Institute an undergraduate course called Global Health these students coming to us actually have the
highest grade you can get in Swedish college system so I thought maybe they know everything I'm going to teach them
about so I did a pre-test when they came and one of the question from which I learned a lot was this one which country
has the highest child mortality of these five pairs I won't put you at the test here but
it's turkey which is highest there Poland Russia Pakistan and South Africa and these were the results of the
Swedish students at one point eight right to answer out of five possible that means that there was a place for a
professor of international health and for my course but one late night when I was compiling
the report I really realized my Discovery I have shown that Swedish top students know statistically
significantly less about the world than the chimpanzees because the chimpanzee would score half
right if I gave him two bananas with Sri Lanka and turkey they would be right half of the cases but the students are
not that I did also an unethical study of the professors of the Caribbean Sky Institute that hands out the Nobel Prize
using new tools that help everyone make sense of the changing world we draw on the masses of data that's now
and it's become my mission to share the insights from this data with anyone who listened and to reveal how statistics is
nothing to be frightened of I'm going to provide you a view of the global Health situation across
software which displays it like this every bubble here is a country this is China this is India the size of the
bubble is the population and I'm going to State your race here between this sort of yellowish Ford here and the red
Toyota down there and the brownish waterfall the Toyota has a very bad start down here and United States Ford
is going off-road then and the board quite fine this is the war the Toyota got off track and now Toyota is coming
this was a Great Leap Forward when China fell down it was Central tanning by Mao situ China recovered and they said never
more stupid Central planning but they went up here no there is one more inequity look there United States
oh they broke my frame Washington DC is so rich over there but they are not as healthy as Kerala in India it's quite
cars and free data there are many here who share my vision of making public data accessible and
useful for everyone the city of San Francisco is in the lead opening up its data on everything
even the police department is releasing all its crime reports this official crime date has been turned
into a wonderful interactive map by two of the city's computer whizzes its Community statistics in action
showing you know dots on maps for citizens to be able to see patterns of crime around their neighborhoods in San
Francisco the map is not just about individual crimes but about broader patterns that show you where crime is
clustered around the city which areas have high crime in which areas have relatively low crime
we see lots of aggravated assaults lots of auto theft basically the huge part of the of the crime that happens in the in
foreign if you've been hearing police sirens in your neighborhood you can use the map to
find out why if you're out at night in an unfamiliar part of town you can check the map for
streets to avoid if a neighbor gets burgle you can see is it a one-off or has there been a spike
in local crime if you commute through a neighborhood and you're worried about its safety the
fact that we have the ability to turn off all the nighttime and middle of the day crimes and show you just the things
that are happening during the commute is a statistical operation but I think to people that are interacting with the
thing it feels very much more like they're just sort of browsing a website or you know shopping on Amazon they're
they're looking at data and they don't realize they're doing statistics what's most exciting for me is that
doing are bringing printouts of the maps that show where crimes are taking place and they're demanding services from the
police department and the police department is now having to change how they police how they provide policing
Services because the data is showing what is working and what is not people in San Francisco are also using
public data to map social inequalities and see how to improve society and the possibilities are endless
I think our Dream government data analysis project would really be focused on live information on stuff that was
being reported and pushed out to the world over the internet as it was happening you know trash pickups traffic
accidents buses and I think through the kind of stats Gathering Power of the Internet it's possible to really begin
to see the the workings of the city displayed as a unified interface so that's where we are heading towards a
world of free data with all the statistical insights that come from it accessible to everyone empowering us as
Citizens and letting us hold our rulers to account it's a long way from where statistics
but it was our rulers up there who started the collection statistics in the first place in order to monitor us
the Chinese have Confucius the Italians have Da Vinci and the British have Shakespeare and we have the
tabelvarket the first ever systematic collection of Statistics since the year 1749 we have collected data on every
recorded information from every Parish in Sweden it was a huge quantity of data and it was the first time any government
star was really faded and other countries were growing stronger at least though we were a large power thought to
but we were in for a nasty surprise the first analysis of tabelberg is revealed that swedenola had 2 million
government was horrified by this finding what if the enemy found out but the tabel market also showed that
many women died in childbirth and many children died young so government took action to improve the health of the
austrians belgians Danes Dutch French Germans Italians and finally the British caught up with Sweden in collecting and
and understanding of the society Howard's working how it was developing and essentially so they could control it
and despite his late start Britain with its Royal statistical Society in London was soon a statistician's Nirvana
because it's full out with such odd stuff there's a wonderful paper from the 1840s which shows a map of England and
the rates of bastardy in each County and so you can identify very quickly the areas with high rates of bastardy big in
East angler it always makes me slightly laugh that Norfolk seems to top the bastardy league in the 1840s
one of the founders of the royal statistical Society was the great Victorian mathematician and inventor
Charles Babbage in 1842 he read the latest poem by an equally great Victorian Alfred Tennyson
vision of sin contained the lines fill the cup and fill the can have arouse before the moon every moment dies a man
every moment one is born so key in the statistician was a Babbage that he could not contain himself he
dashed off a letter to Tennyson explaining that because of population growth the line should read every moment
dies a man and one on the 16th is born I may add that the exact figure is 1.067 but something must be conceded to
that's what makes statistics when the first statisticians began to get to grips with analyzing their data
ER had accidentally put her foot on the accelerator and crushed her friend against a wall devastating hideous
horrible thing to happen and then there was a second one about a young man who didn't have a driving
license was driving a car under the influence of drugs and alcohol and he bashed into a pedestrian killed him was
all these individual events somehow when you sum them all up there's the same number every year
and every year two and a half times as many men die in traffic crashes as women and it's a constant and every year the
let's see what Sweden have done we used to boast about fast social progress that's where we were in my lectures to
tell stories about the changing world I use the averages from entire countries whether the average of income child
mortality family size or carbon output okay I give you Singapore the year I was born Singapore had twice the child
mortality of Sweden it's the most tropical country in the world a Marshland on the equator and here we go
it took a little time for them to get independent but then they started to grow their economy and they made the
social investment they got away malaria they got the Magnificent health system that beated both us and Sweden we never
on average Swedish people have slightly less than two legs this is because a few people only have one leg or no legs and
no one has three legs so almost everybody in Sweden has more than the average number of legs
let's look again at the number of adult women in Sweden for different heights plotting the date as a shape shows how
much their heights vary from the average and how wide that variation is the shape a set of data makes is called
its distribution this is the income distribution of China 1970. this is the income distribution of
the United States 1970 almost no overlap and what has happened China is growing it's not so equal any longer and it's
appearing here overlooking the United States almost like a ghost isn't it huh it's pretty scary
[Music] that he named it the normal distribution whether it was people's arms bands lung
capacities or even their exam results the normal distribution shape recurred time and time again
other statisticians soon found many other regular shapes each produced by a particular kind of natural or social
processes and every statistician has their favorite the poisson distribution is my favorite distribution I think it
the ordinary things will happen imagine a London bus stop where we know that on average we'll get three buses an hour we
won't always get three buses of course amazingly the poisson shape will show us the probability that in any given hour
we will get four five or six passes or no buses at all the exact shape changes with the average
but whether it's how many people will win the lottery jackpot each week or how many people will phone a call center
each minute the personal shape will give the probabilities the wonderful example where this was
applied to in the late 19th century was to count each year the number of Prussian officers Cavalry officers who
are kicked to death by their horses as some years there were none some years there were ones from years here were two
up to seven I think one particularly bad year and but with this distribution of how many years they were with Note one
two three four Prussian Cavalry officers kicked to death by the horses beautifully obeyed the price on
the patterns in the data but we also use images of all kinds to communicate statistics to a wider public because if
there are not many people who realize that actually she was known as a passionate statistician and not just a
lady of the Lamb she said that to understand God's thoughts we must study statistics for
these are the measure of his purpose statistics was for her religious Duty and moral imperative
different fruits and vegetables she found put them into different tables trying to organize them in some standard
casualties of War she was horrified by what she discovered for all the soldiers being blown to bits on the battlefield
there were many many more soldiers dying from diseases they caught in the Army's filthy hospitals
so Florence Nightingale began counting the dead for two years she recorded mortality data in meticulous detail
when the war was over she persuaded the government to set up a royal Commission of inquiry and gathered her data in a
devastating report what has cemented her place in the statistical history book other Graphics she used
wedge represented the soldiers who had died from preventable diseases the much smaller red wedges were deaths from
wounds and the black wedges deaths from accidents and other causes Nightingales Graphics were so clear they
were impossible to ignore the usual thing around Florence nightingale's time was just to produce
tables and tables of figures and you're absolutely really tedious stuff that unless you're absolutely dedicated
statistician is really quite difficult to spot the patterns quite naturally but visualizations they tell a story they
tell a story immediately and the use of color and the use of shape and you know can really tell a powerful story and
nowadays of course we can make things move as well first Nightingale would have loved to have played with she would
this image arose out of frustration with the reporting of billion pound amounts in the media 500 billion pounds for this
war 50 billion pounds for this oil spill it doesn't kind of make sense these numbers are too enormous to get your
mind round so I scraped all this data from various news sources and create this diagram so the squares here are
this you start to have a different kind of relationship with them you can start to see patterns you can see the scale of
them here in the corner this little square 37 billion that was the cost the predicted cost of the Iraq War in 2003.
as you can see it's grown exponentially over the last few years so the total cost now is around about 2 500 billion
it's funny because when you visualize statistics like this you understand them and when you understand them you can
I teach Global health and I know having the data is not enough I have to show it in ways people both enjoy and understand
now I'm going to try something I've never done before animating the data in real space with a bit of technical
assistance from the crew so here we go first the Nexus for health life expectancy from 25 years to 75
years and down here an access for wealth income per person 400 4 000 and forty thousand dollars so down here is poor
and sick and up here is Rich and healthy now I'm going to show you the world 200 years ago in 1810
here come all the countries European Asia red Middle East Green Africa Southern Sahara blue and the Americas
yellow and the size of the country bubble show the size of the population and in 1810 it was pretty crowded down
there wasn't it all countries were sick and poor life expectancy were below 40 in all countries and all the UK and the
Netherlands were slightly better off but not much and now why start the world the Industrial Revolution makes
countries in Europe and elsewhere move away from the rest but the colonized countries in Asia and Africa they are
and now we slow down to show the impact of the first world war and the Spanish flu epidemic what a catastrophe
and now I speed up through the 1920s and the 1930s and in spite of the Great Depression Western countries forged on
towards greater wealth and health Japan and some others try to follow but most countries stay down here now after the
tragedies of the second world war we stop a bit to look at the world in 1948. 1948 was a great year the war was over
Sweden topped the medal table at the Winter Olympics and I was born but the differences between the countries of the
world was wider than ever United States was in the front Japan was catching up Brazil was way behind Iran was getting a
little richer from oil but still had short lives and the Asian Giants China India Pakistan Bangladesh and
Indonesia they were still poor and sick down here but look what is about to happen here we go again in my lifetime
former colonies gained independence and then finally they started to get healthier and healthier and healthier
and in the 1970s then countries in Asia and Latin America started to catch up with the Western countries they became
the emerging economies some in Africa follows some Africans were stuck in Civil War and others hit by HIV and now
we can see the world today in the most up-to-date statistics most people today live in the middle but
there are a huge difference at the same time between the best of countries and the worst of countries and they're also
huge inequalities within countries these bubbles show country averages but I can split them big China I can split it into
Italy today and there is the poor in line Province quite sure it is like Pakistan and if I split it further the
rural parts are like Ghana in Africa and yet despite the enormous disparities today we have seen 200 years of
remarkable progress that huge historical gap between the west and the rest is now closing we have become an entirely new
converging world and I see a clear Trend into the future with Aid trade Green Technology and peace it's fully possible
well what you have seen in the last few minutes is a story of 200 countries shown over 200 years and Beyond it
we can begin to see things as they really are from tables of data to averages distributions and
visualizations statistics gives us a clear description of the world but with Statistics we cannot only
discover what is happening but also explore Why by using the powerful analytical method correlation
just looking at one thing at a time doesn't tell you very much is you've got to look at the relationships between
things how they changed how they vary together and that's what correlation is about and that's how you start trying to
understand the processes that are really going on in the world and in society most of us today would recognize that
crime correlates to Poverty that infection correlates to poor sanitation and that knowledge of Statistics
correlates to being great at dancing correlations can be very tricky I got a joke about silly correlations
ate very little fat and almost didn't drink wine but they had much less heart attacks than the American but on the
other hand he also found out that the French eat as much fat as the Americans and they drink much more wine but they
that was established in the 1950s between smoking and lung cancer not long after the second world war a
British Doctor Richard doll investigated lung cancer patients in 20 London hospitals and he became certain that the
data linking smoking to lung cancer said what's not the smoking surely that thing that we've done all our lives that can't
be bad for you maybe it's genes maybe people who are genetically predisposed to get lung cancer are also genetically
that smokers are somehow more exposed to air pollution than non-smokers maybe it's not smoking maybe it's
poverty so now we've got three alternate explanations apart from chance to verify his correlation did imply
cause and effect Richard doll created the biggest statistical study of smoking yet he began cracking the lives of forty
thousand British doctors some of whom smoke and some of whom didn't and gathered enough data to correlate
the amount the doctor smoked with their likelihood of getting cancer eventually he not only showed a
correlation between smoking and lung cancer but also correlation between stopping smoking and reducing the risk
this was science at its best what correlations do not replace is human thought you could think about what
it means I mean what a good scientist does if he comes up with a correlation is try as hard as she or he possibly can
to disprove it break it down to get rid of it to try and refute it and if it withstands all
those efforts at demolishing it and it's still standing up then cautiously you say we really might have something here
forever brilliant the scientist data is still the oxygen of science the good news is that the more we have
the more correlations we'll find the more theories we'll test and the more discoveries we are likely to make
and history shows how our total sum of information grows in huge leaps as we develop new technologies
the invention of the printing press kicked off the first data and information explosion if you piled up
all the books that had been printed by the year 1700. they would make 60 Stacks each as high
as Mount Everest then starting in the 19th century there came a second information revolution
with the telegraph gramophone and camera and later radio and TV the total amount of information exploded
then thanks to the computer and later the internet we went digital and the amount of data we have now is
printed page equals a kilobyte or two five megabytes is enough for the complete works of Shakespeare
10 gigabytes that's a DVD movie two terabytes is the tens of millions of photos added to Facebook every day
10 petabytes is the data recorded every second by the world's largest particle accelerator so much only a tiny fraction
internet added up to 500 exabyte and in 2010 in just one year that will double to more than one zettabyte
stacks of books each reaching from here all the way to the Sun the data Deluge is staggering but with
when it comes to all the data on the internet the PowerHouse of statistical analysis is the Silicon Valley giant
conversation and so if you multiply that by the six billion people on the planet that amount of words is about equal to
the number of words that Google has available at any one instant in time Google's computers Hoover up and file
away every document web page and image they can find they then hunt for patterns and correlations in all this
data doing statistics on a massive scale and for me Google has one project that's particularly exciting statistical
language translation we wanted to provide access to all the web's information no matter what
language you spoke there's just so much information on the internet you couldn't hope to translate it all by hand into
in the past programmers try to teach their computers to see each language as a set of grammatical rules much like the
way languages are taught at school but this didn't work because no set of rules could capture language in all its
well that's obviously incorrect written like that it would imply that the coach has eaten the latch
those rules are helpful and they are useful most of the time but they don't turn out to be true all the time and the
Insight of using statistical machine translation is saying well if you got to have all these exceptions anyways maybe
you can get by without having any of the rules maybe you can treat everything as an exception and that's essentially what
he's learning how to translate is to learn correlations between words and correlations between phrases so we we
feed the system very large amounts of data and then the system is seeing that a certain word or a certain phrase
translation between any of 57 different languages it does this purely statistically having correlated the huge
collection of multilingual texts the people that build the system don't need to know Chinese in order to build a
Chinese to English system but I don't need to know Arabic but the expertise that's needed is basically knowledge of
Statistics knowledge of computer science knowledge of infrastructure to build those very large computational systems
that we are building for doing that okay so then I'm going to invite I hooked up with Google from my office in
he sent her are one of the challenges in in Translation to get really those right in empty when it comes to Bishops one
can excuse it right right so that I guess more often than not it would probably be his I would write
this I'm very new to the language the translator is good but if they succeed with what's next that'll be
technology with the speech recognition technology now both of these are statistical in nature the machine
translation relies on the statistics of mapping from one language to another and similarly speech recognition relies on
the statistics of mat mapping from a sound form to the words when we put them together now we have
the capability of having instant conversation between two people that don't speak a common language that I can
talk to you in my language you hear me in your language and you can answer back and in real time we can make that
currents and high in orbit are satellites busy Imaging cloud formations Forest growth and snow cover
billions of stars in it and so to put together a coherent picture of the whole galaxy requires having an enormous
amount of data and before you could do a large Sky survey with sensitive digital detectors that meant that you could map
many many stars all at once it was very difficult to build up enough data on enough of the Galaxy
large surveys of the night sky had to be done by exposing thousands of large photographic plates but these surveys
and a huge increase in both the amount and the accessibility of data the Sloan Sky survey is the world's
biggest yet using a massive digital sensor mounted on the back of a custom-built telescope in New Mexico
and the sky night of the night for eight years building up a composite picture in unprecedented resolution the Sloan is
some of the best deepest survey data that we have in astronomy both on our own Galaxy and on on Galaxy's further
and with it astronomers have identified millions of hithers to unknown stores and galaxies they also comb the database
so we have this idea that galaxies grow they become large galaxies like the one we live in the Milky Way not all at once
or not smoothly but by continuously incorporating basically cannibalizing smaller galaxies they dissolve them and
they become part of of the bigger Galaxy as it grows it's a startling idea and in the Sloan
data is the evidence to support it groups of stars that came from cannibalized galaxies stand out in the
Sloan data as statistically different from other stars because they move at a different velocity each Big Spike on one
of these distribution graphs means Professor rocosi has found a group of stars all traveling in a different way
the evidence and so this is an important part of of understanding how galaxies form not only
technology is getting better all the time the next big survey telescope starts its work in 2015. it will leave
the vast amounts of data we had today allows researchers in all sorts of fields to test their theories on a
previously unimaginable scale but more than this it may even change the fundamental way science is done
with the power of today's computers applied to all this data the machines might even be able to guide the
of the most exciting uh where uh the potential to transform not just how scientists do science but even what
science is possible and what will power that transformation of of how science is done and even what science is possible
interplay between the rainforest and the atmosphere are so complex that we don't as yet really understand
but now computers are generating literally tens of thousands of different simulations of how these biological
and every one of these simulations is analyzed with Statistics to see if any are a good match for what is observed in
with scarcely a human inside new application statistics will become absolutely vital for a future of science
is creating a new paradigm if you like in science and the way in which we can do science which is increasingly
which will make characterizes data Centric or data-driven rather than being hypothesis driven or
experimentally driven so it's exciting times in terms of the science in terms of the computation
and in terms of the statistic is an individual feeling expressed by someone out there in a blog or a tweet
that start with the words I feel or I am feeling and put them in a database we collect all the feelings and we count
and we can take a look at anyone feeling and analyze it right now A lot of people are feeling happy
we can take a look at all the people who are happy and break down by age gender or location since bloggers have public
profiles we have that information and so we can ask questions like are women happier than men or is England happier
as people lead more and more of their lives online they leave behind digital traces and with these digital traces we
so where does all of this leave us we generate unimaginable quantities of data about everything you can think of
and we analyze it to reveal the patterns and now not only expert but all of us can understand the stories in the
our fingertips our eyes can be open for a fact-based view of the world so more than ever before we can become
authors of Our Own Destiny and the pretty exciting isn't it Longs oblique strategies these and so
much more can be explored in The Well of random down on the BBC sounds app to dip your inquisitive toes in now
coming up in a moment Bethany Hughes presents Genius of the ancient world focusing upon Buddha