A random survey of the number of children of various age groups playing in a park was found as follows:-

Age (in years) |
Number of children |

1 - 2 | 5 |

2 - 3 | 3 |

3 - 5 | 6 |

5 - 7 | 12 |

7 - 10 | 9 |

10 - 15 | 10 |

15 - 17 | 4 |

Draw a histogram to represent the data above.

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#### Solution

Here, it can be observed that the data has class intervals of varying width. The proportion of children per 1 year interval can be calculated as follows.

Age (in years) |
Frequency (Number of children) |
Width of class |
Length of rectangle |

1 − 2 | 5 | 1 | (5 x 1)/1=5 |

2 − 3 | 3 | 1 | (3 x 1)/1=3 |

3 − 5 | 6 | 2 | (6 x 1)/2=3 |

5 − 7 | 12 | 2 | (12 x 1)/2=6 |

7 − 10 | 9 | 3 | (9 x 1)/3=6 |

10 − 15 | 10 | 5 | (10 x 1)/5=2 |

15 − 17 | 4 | 2 | (4 x 1)/2=2 |

Taking the age of children on *x-*axis and proportion of children per 1 year interval on *y*-axis, the histogram can be drawn as follows.

Concept: Graphical Representation of Data

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