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?

AcademicMathematicsNCERTClass 9

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:

DigitsFrequency
02
15
25
38
44
55
64
74
85
98
Total50

(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 $9$.

raja
Updated on 10-Oct-2022 13:47:04

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