Question

The value of $\pi $ up to 50 decimal places is:
3.1415926535897932384626433832795028841971693993751
Which is the least occurring digit?
A) 0
B) 1
C) 2
D) 3

Answer 1

Hint: Here we arrange the data in ascending order. Count the number of times each number is being repeated. Draw a frequency table that shows the frequency of each observation. After that check for the digit which has the least frequency. That number is the least occurring digit.

Complete step-by-step answer:
We are given the data 3, 1, 4, 1, 5, 9, 2, 6, 5, 3, 5, 8, 9, 7, 9, 3, 2, 3, 8, 4, 6, 2, 6, 4, 3, 3, 8, 3, 2, 7, 9, 5, 0, 2, 8, 8, 4, 1, 9, 7, 1, 6, 9, 3, 9, 9, 3, 7, 5, and 1.
Representation of data in a tabular or graphic format which states the frequency (number of times observation occurs within a particular interval) is known as frequency distribution. The importance of frequency distribution in statistics is immense. A well-structured frequency distribution creates the possibility of a detailed analysis of the structure of information. So, the groups where the population breaks down can easily be determined.
The frequency distribution table is a table that represents the frequency (number of times observation is repeated) of an observation. The Sum of frequencies is always equal to the total number of observations in the data.
The total number of observations is 50.
We arrange the data in ascending order.
0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, and 9.
The observations that are being repeated are D, H, I, and T.
Now we draw a frequency distribution table.

Observations	Frequency
0	1
1	5
2	5
3	9
4	4
5	5
6	4
7	4
8	5
9	8

From the table, it is clear that the smallest frequency value is 1, which is 0.
So, 0 is the least occurring digit.

Hence, option (A) is correct.

Note: Frequency of an event is the number of times a particular observation occurred in an experiment. The sum of frequency must be equal to the total number of observations. Arrange the frequencies in an order i.e largest to smallest,