Ex.14.2 Q6 Statistics Solution - NCERT Maths Class 9

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Question

Three coins were tossed \(30\) times simultaneously. Each time the number of Heads occurring was noted down as follows:

\[\begin{align}0\,\, 1\,\,\, 2\,\,\, 2\,\,\, 1\,\,\, 2\,\,\, 3\,\,\, 1\,\,\, 3 \,\,\,0\,\,\,\\ 1\,\,\, 3\,\,\, 1\,\,\, 1\,\,\, 2\,\,\, 2\,\,\, 0\,\,\, 1\,\,\, 2\,\,\, 1\,\,\\ 3\,\, 0\,\,\, 0\,\,\, 1\,\,\, 1\,\,\, 2\,\,\, 3\,\,\, 2\,\,\, 2\,\,\, 0\end{align}\]

Prepare a frequency distribution table for the data given above.

Text Solution

 

What is known?

  • Number of times three coins were tossed simultaneously.
  • Number of ‘heads’ that occurred during each toss.

What is unknown?

Constructing the required frequency distribution table.

Reasoning:

We can count in each case and can be written in front of them , like this we can draw frequency distribution table.

Steps:

By observing the given data, we can prepare the frequency distribution table as follows:

NUMBER OF HEADS TALLY MARKS FREQUENCY OF OCCURRENCE
\(0 \) |||| | \(6 \)
\(1 \) |||| |||| \(10 \)
\(2 \) |||| |||| \(9\)
\(3\) |||| \(5\)
TOTAL   \(30\)
  
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