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The value of $ \pi $ upto 50 decimal places is given below:
$ 3.14159265358979323846264338327950288419716939937510 $
(i) Make a frequency distribution of the digits from 0 to 9 after the decimal point.
(ii) What are the most and the least frequently occurring digits?
Given:
The value of \( \pi \) upto 50 decimal places is given.
To do:
We have to
(i) Make a frequency distribution of the digits from 0 to 9 after the decimal point.
(ii) Find the most and the least frequently occurring digits.
Solution:
(i) The frequency distribution of the digits from 0 to 9 after the decimal point is given in the table below as follows:
Digits | Frequency |
0 | 2 |
1 | 5 |
2 | 5 |
3 | 8 |
4 | 4 |
5 | 5 |
6 | 4 |
7 | 4 |
8 | 5 |
9 | 8 |
Total | 50 |
(ii) The digit having the least frequency occurs the least number of times.
Here, $0$ occurs twice.
This implies,
It has a frequency of 2.
Therefore, the least frequently occurring digit is $0$.
The digit having the highest frequency occurs most number of times.
Here, $3$ and $9$ occur eight times.
This implies,
$3$ and $9$ have a frequency of 8.
Therefore, the most frequently occurring digits are $3$ and $9$.