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# 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?

Video Solution
Statistics
Ex exercise-14-2 | Question 7

## 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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