If the number of observations is large, then arranging data in ascending or descending or serial order is a tedious job. So to make it easily understandable and clear, we can tabulate the data using a frequency distribution method.

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Frequency table or frequency distribution is a method to present raw data in the form from which one can easily understand the information contained in the raw data. The number of times an observation occurs in the given data, is called the frequency of the observation.

Relative frequency distribution is a type of frequency. It a ratio between the number of times a number has been repeated to the total frequencies of all the numbers. In other words it is a division between individual frequencies of an item by the total number of repetition that has occurred.

To find the relative frequency of the item we use the formula

Relative frequency = $\frac{f}{n}$

Where $f$ = Number of times the item repeated

$N$ = Total number of frequencies

Given below are the ages of 25 students of class VII in a school. Prepare a relative frequency distribution.

15, 16, 16, 14, 16, 15, 15, 16, 16, 17, 15, 16, 16, 14, 16, 14, 14, 15, 16, 15, 14, 15

**Solution: **

Frequency distribution of ages of 25 students is as follows:

Frequency distribution of ages of 25 students is as follows:

Age | Frequency (f) | Relative Frequency = $\frac{f}{n}$ |

14 | 5 | $\frac{5}{25}$ = $\frac{1}{5}$ |

15 | 7 | $\frac{7}{25}$ |

16 | 9 | $\frac{9}{25}$ |

17 | 1 | $\frac{1}{25}$ |

N = 25 |

x | 2 | 3 | 4 | 5 | 6 |

y(frequency) | 5 | 7 | 6 | 2 | 3 |

What is the relative frequency of the score 5

x | 2 | 3 | 4 | 5 | 6 | |

y(frequency) | 5 | 7 | 6 | 2 | 3 | N = 23 |

Relative Frequency = $\frac{f}{n}$ | $\frac{5}{23}$ | $\frac{7}{23}$ | $\frac{6}{23}$ | $\frac{2}{23}$ | $\frac{3}{23}$ |

Hence by the table we can say that relative frequency if score 5 is $\frac{2}{23}$

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