Question

The value of $\pi $ up to 50 decimal places is:
\[3.14159265358979323846264338327950288419716939937510\]
What is the frequency of digit 0.
(A) 0
(B) 3
 (C) 2
 (D) 1

Answer 1

Hint: Here, we must know that the frequency of digits can be represented in a tabular form using tally method.
Tally marks are often used to make a frequency distribution table; while a frequency distribution table will make the data easier to understand.

Complete step-by-step solution:
First we should find the representation of the given data in the form of a frequency distribution table as follows.
Finally, count up the tally marks and write the number of frequencies in the final column. The frequency is just the total. You have two tally marks for “0”, so put 2 in the last column:

Digits	Tally marks	Frequency
0	||	2
Total		2

Frequency tells us how often something can occur or happen. The frequency of an observation tells us the number of times the observation occurs in the data. For example, in the following list of numbers, in the value of π the frequency of the number 0 is 2 because it occurred two times in the value.

Thus the answer is option (A) because of the following observation done using the frequency distribution tables.

Additional Information: A frequency distribution table is an overview of all distinct values in some variable and the number of times they occur. That is, a frequency distribution tells how frequencies are distributed over values.
Frequency distributions are mostly used for summarizing categorical variables. That's because metric variables tend to have many distinct values. These result in huge tables and charts that don't give insight into your data. In this case histograms are the way to go as they visualize frequencies for intervals of values rather than each distinct value.

Note: The frequency distribution tables can show either categorical variables (sometimes called qualitative variables) or quantitative variables (sometimes called numeric variables). You can think of categorical variables as categories (like eye color or brand of dog food) and quantitative variables as numbers.