# 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 |
\(30\) |