__6.3 Histograms__**(A) Draw a histogram based on the frequency table of a grouped data**

**1.**A

**histogram**is a graphical representation of a frequency distribution.

**2.**A

**histogram**consists of vertical rectangular bars without any spacing between them.

**3.**

**Steps for drawing a histogram**

**(a)**Determine the lower boundaries and upper boundaries for each class interval.

**(b)**Choose suitable scales for the horizontal axis (

*x*-axis) to represent class interval and the vertical axis (

*y*-axis) to represent frequency.

**Example:**

The following frequency table shows the radii, in cm, of different types of trees in a garden.

Radii (cm) |
Frequency |

2.0 – 2.4 |
7 |

2.5 – 2.9 |
5 |

3.0 – 3.4 |
10 |

3.5 – 3.9 |
2 |

4.0 – 4.4 |
6 |

4.5 – 4.9 |
4 |