The Income of the Average Indian is Significantly Lower Than the Average Income of India

ARTS RAJAN

The speeches made by the Reserve Bank of India(RBI) governor, Raghuram Rajan, are always a pleasure to read. In his latest speech made on April 20, 2016, Rajan said: “India is the fastest growing large country in the world, though with manufacturing capacity utilization low at 70% and agricultural growth slow following two bad monsoons, our potential is undoubtedly higher. Growth, however, is just one measure of performance. The level of per capita GDP is also important. We are still one of the poorest large countries in the world on a per capita basis, and have a long way to go before we reasonably address the concerns of each one of our citizens.”

Rajan further said: “We are often compared with China. But the Chinese economy, which was smaller than ours in the 1960s, is now five times our size at market exchange rates. The average Chinese citizen is over four times richer than the average Indian. The sobering thought is we have a long way to go before we can claim we have arrived.”

The point that Rajan was trying to make was that: “As a central banker who has to be pragmatic, I cannot get euphoric if India is the fastest growing large economy…The central and state governments have been creating a platform for strong and sustainable growth, and I am confident the payoffs are on their way, but until we have stayed on this path for some time, I remain cautious.”

This was essentially a retort to politicians who keep tom-tomming India’s dodgy economic growth numbers. While Rajan did not say that he does not believe in the economic growth numbers, he did try and make it clear that if India needs to reach anywhere, it needs strong and sustainable economic growth in the years to come. And achieving that is easier said than done.

Further, Rajan also made a more important point in his speech about India’s low per capita income. What is per capita income? John Lanchester defines per capita income in his book How To Speak Money as: “The total Gross Domestic Product(GDP) of a country divided by the number of people in the country.

As he further writes: “It is a measure of how rich the country’s citizens are on average – though it is a very rough measure of that, since a country’s WEALTH is often very unevenly distributed.”

The phrase to mark in the above paragraph is on average. The question is does an average always represent the right scenario? As Robert H Frank writes in Success and Luck—Good Fortune and the Myth of Meritocracy: “It is of course possible for most people to have a trait the measures higher than the corresponding mean value for the population to which they belong. Since a small number of people have fewer than two legs and no one has more, for instance, the average number of legs in any population is slightly less than two. So most people actually do have “more legs than average”.”

How does the above paragraph apply in the context of the GDP? What it tells us is that the average income of India is not equal to the income of the average Indian. Now what does that actually mean?

Let me explain that through an example. Let’s say on a given day in the city of Mumbai, an Ambani, an Adnani, a Birla and a Tata, walk into a local Udupi restaurant in Matunga. The restaurant is known for its soft idlis and fabulous coffee. And this has attracted the four industrialists to this small place.

The moment these four walk into the restaurant, the average income of the people seated in the restaurant goes up by leaps and bounds. If I may rephrase the last sentence, the per capita income of the restaurant goes up leaps and bounds, when the four industrialists walk into the Udupi restaurant.

But this increase in per capita income of the restaurant will have no impact on the incomes of the other people seated in the restaurant. (This example is essentially an adaptation of an example Charles Wheelan uses in his book Naked Statistics).

As Charles Wheelan writes in Naked Statistics: “The mean, or average, turns out to have some problems in that regard, namely, that it is prone to distortion by “outliers”, which are observations farther from the center.”

So basically, the Ambanis, Adnanis, Birlas and Tatas, of the world, essentially India’s rich, push up the average income of India i.e. the per capita income. As Wheelan writes: “The average income…could be heavily skewed by the megarich.”

In this scenario, the average income does not give us a correct picture. Further, it is safe to say, that the income of the average Indian is lower than the average income of India.

At this point it is important to introduce another term i.e. the median. As Wheelan writes: “The median is the point that divides a distribution in half, meaning that half of the observation lie above the median and half lie below.

Hence, the median income is the income of the average Indian. Given this, the median income is the right representation of the income of the average Indian. This is because the rich outliers (the Ambanis, the Adnanis, the Tatas and the Birlas) are taken into account. Data from World Bank shows that the top 10% of India’s population makes 30% of the total income. And this pushes up the per capita income.

The trouble is that it is not so easy to find median income data in the Indian context. A survey carried out by Gallup in December 2013, put India’s median income at $616. Data from the World Bank shows that India’s per capita income during the same year was $1455.
Hence, the median income was around 58% lower than the average income or the per capita income. And that is not a good sign at all.

This shows the tremendous amount of inequality prevalent in the country. The difference in the income of the average Indian and the average income of India is thus huge. In fact, I had written about this inequality in the column published on April 19.

In 2015-2016, the average income of those not working in agriculture was 4.9 times those working in agriculture (using GDP at current prices). If we were to use GDP at constant prices (at 2011-2012 prices), the ratio comes to 5.5. Constant prices essentially adjust for inflation.

And this is really a big worry!

The column originally appeared on the Vivek Kaul’s Diary on April 25, 2016

What Happens When Bill Gates Walks Into a Bar

Bill_Gates_June_2015

The mathematician John Allen Paulos in his book Beyond Numeracy writes: “The fourth-grader notes that half the adults in the world are men and half are women and concludes therefrom that the average adult has one breast and one testicle.”

This is a rather extreme example of how the concept of mean or average is misused. An average of X numbers is obtained by adding those numbers and dividing it by X.

Here is another example of a situation where the concept of average is misused.  As Charles Wheelan writes in Naked Statistics—Stripping the Dread from the Data: “Imagine that ten guys are sitting on bar stools in a middle-class drinking establishment…each of these guys earns $35,000 a year, which makes the mean annual income for the group $35,000.”

The software billionaire, Bill Gates, walks into this bar. As Wheelan writes: “Let’s assume for the sake of the example that Bill Gates has an annual income of $1 billion. When Bill sits down on the eleventh bar stool, the mean annual income for the bar patrons rises to about $91 million. Obviously none of the original ten drinkers is any richer. If I were to describe the patrons of this bar as having an average annual income of $91 million, the statement would be both statistically correct and grossly misleading.”

The point being that the average or the mean of a given set of numbers can be very misleading. One thing that clearly comes out of this example is that the majority of the numbers that constitute an average can be lower than the average.

As was clear in this example, ten out of 11 men in the bar had a lower income than the average income of $91 million. Here is another interesting example. As Robert Matthews writes in Chancing It—The Laws of Chance and How They Can Work for You: “The world’s men provide an excellent example – in the shape of their penises. Or, to be more precise, size: according research, the average length is 13.24 centimetres, but the median value is 13.00 centimetres.”

And what is median value? As Paulos writes: “The median of a set of numbers is the middle number in the set.” Let’s go back to the bar example for a moment. Let’s say the eleven individuals in the bar are made to sit in the ascending order of their income. The individual setting on the sixth stool will represent the median income of the group.

Now let’s get back to the penis example. The average length of a man’s penis is 13.24 centimetres. But the median value is 13 centimetres. What does this mean? As Matthews writes: “First, it shows that the global distribution of penis sizes is skewed towards smaller values, and second that most men really do have below-average-sized penises.”

This becomes very important when we are discussing issues like per capita income of a country or the average income earned by a citizen of a country.
The economic health of a nation is also judged by the rise in its per capita income. But should that always be the case? Take the Indian case. A survey carried out by Gallup in December 2013, put India’s median income at $616. Data from the World Bank shows that India’s per capita income during the same year was $1455.

Hence, the median income was around 58% lower than the average income or the per capita income. And that is not a good sign at all. The difference is obviously because the rich (Bill Gates in the example) make substantially more than the poor and drive up the average income. Data from World Bank shows that the top 10% of India’s population makes 30% of the total income.

The point being that economic growth as measured by growth in per capita income is not always the correct way of going about things. Is this growth really trickling down? And that can only become clear if the median income is going up. The tragedy is that no regular data is available on this front.

(Vivek Kaul is the author of the Easy Money trilogy. He can be reached at [email protected])

The column originally appeared in the Bangalore Mirror on April 13, 2016