Statistics

**Construction of histogram of different class intervals**

A histogram is a graphical representation of grouped data.

**Example: **

Represent the given data in the form of a histogram.

Marks |
0 – 20 | 20 – 30 | 30 – 50 | 50 – 60 |

Number of students |
10 | 13 | 16 | 11 |

**Solution:**

Here, the minimum class size is 10.

Thus, we can find the adjusted frequencies using the following formula,

Marks |
Number of students |
Class size |
Adjusted frequency |

0 – 20 | 10 | 20 | |

20 – 30 | 13 | 10 | |

30 – 50 | 16 | 20 | |

50 – 60 | 11 | 10 |

The histogram of the given data can be drawn as follows:

**Interpretation of histograms**

The interpretation of data represented by a histogram can be done by looking at it.

**Example**:

The following histogram shows the production of food grains (in thousand tonnes) over a period …

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