Ex.14.2 Q7 Statistics Solution - NCERT Maths Class 9

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Question

The value of \(π\) 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?

Text Solution

 

What is known?

  • The value of ‘\(π\)’ upto \(50\) decimel places.

What is unknown?

  • Constructing a required frequency distribution table
  • And finding the most and the least frequently occurring digits.

Reasoning:

We can count each digit and can be written in front of them , like this we can draw frequency distribution table and can be concluded about most or least frequently occurring digits.

Steps:

We can represent the data by constructing a simple, ungrouped frequency distribution table as follows.

DIGITS TALLY MARKS FREQUENCY OF OCCURRENCE
\(0 \) || 2
\(1 \) |||| 5
\(2 \) |||| 5
3 |||| ||| 8
4 |||| 4
5 |||| 5
6 |||| 4
7 |||| 4
8 |||| 5
9 |||| ||| 8
TOTAL   50

If can be easily observed from the table that

  • The most frequently occurring digits are \(3\) and \(9\) with a max frequency of \(8\) and
  • The least frequently occurring digit is \(‘0’\) with a lowest frequency of \(2\).
  
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