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This will be one of the world most unexplained phenomena you would ever see. The miracle of numbers that occurs in a set of natural data was discovered by Benford in 1938 and later referred by his name.

Benford observed that 1 occurs as the leading digit about 30% of the time, while larger digits occur in that position less frequently: 9 as the first digit less than 5% of the time on most of real-life sources of data. But still astounding fact is nobody can bring out a valid reason behind this occurrence.

Consider any set of naturally occurring numbers. It can be an electricity bills of people in a state, population statistics, stock values, death rates in the world by countries or standard number sets like Fibonacci Series, Factorials and Powers of two.

**Example:**

Lets look for the 1st **30 numbers in the Fibonacci series.**

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229.

In this above example,

1 as first digit comes 9 times. ie **30%**

9 as first digit comes just 1 times. ie **3%**

**Real Life Example 1:**

In the below link, listed out the statistical data of oil consumed by the top **208** countries.

1 as first digit comes 71 times, ie, ** 34%**

2 as first digit comes 41 times, ie **19%**

3 as first digit comes 25 times, ie **12%**

4 as first digit comes 15 times, ie **7%**

5 as first digit comes 12 times, ie **5%**

6 as first digit comes 5 times, ie **2%**

7 as first digit comes 13 times, ie **6%**

8 as first digit comes 8 times, ie **3%**

9 as first digit comes 10 times, ie **4%**

**Real Life Example 2:**

Lets take the statistical data of world internet users of top **212** countries.

1 as first digit comes 66 times, ie, **31%**

2 as first digit comes 39 times, ie **18%**

3 as first digit comes 31 times, ie **15%**

4 as first digit comes 23 times, ie **10%**

5 as first digit comes 15 times, ie **7%**

6 as first digit comes 11 times, ie ** 5%**

7 as first digit comes 14 times, ie **6%**

8 as first digit comes 4 times, ie **1%**

9 as first digit comes 6 times, ie **3%**

In the above real life sources of data, you can find **one** as the first digit holding more than 30percent while 9 occurs as the first digit is less than 5percent.

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Daily Maths Topic Today - benfords law (first-digit law).