# Draw a histogram to represent the following grouped frequency distribution :

Age (in years) Number of teachers

20 - 24 10

25 - 29 28

30 - 34 32

35 - 39 48

40 - 44 50

45 - 49 35

50 - 54 12

**Solution:**

Given, the table represents the age and the number of teachers.

We have to draw a __histogram__ for the given data.

The given __frequency distribution__ is in the inclusive form.

On converting to exclusive form,

Now, consider the classes 20-24, 25-29.

The lower limit of 25-29 is 25.

The upper limit of 20-24 is 24.

Half the difference between lower and upper limit = (25 - 24)/2

= 0.5

Thus, we subtract 0.5 from each lower limit and add 0.5 to each upper limit.

The table for continuous grouped frequency distribution becomes,

Age (in years) | Number of teachers |

19.5 - 24.5 | 10 |

24.5 - 29.5 | 28 |

29.5 - 34.5 | 32 |

34.5 - 39.5 | 48 |

39.5 - 44.5 | 50 |

44.5 - 49.5 | 35 |

49.5 - 54.5 | 12 |

Now, the frequency distribution is in exclusive form

We can represent the class intervals of age along the horizontal axis.

The corresponding frequencies of the number of teachers are represented along the vertical axis.

Given, the interval start with 19.5 - 24.5

This implies that there is a break near the origin.

Using the given data, a histogram is given below,

**✦ Try This: **Draw a histogram to represent the following grouped frequency distribution :

Age (in years) | Number of teachers |

20 - 24 | 11 |

25 - 29 | 29 |

30 - 34 | 35 |

35 - 39 | 60 |

40 - 44 | 50 |

45 - 49 | 39 |

50 - 54 | 10 |

**☛ Also Check:** NCERT Solutions for Class 9 Maths Chapter 14

**NCERT Exemplar Class 9 Maths Exercise 14.4 Problem 4**

## Draw a histogram to represent the following grouped frequency distribution : Age (in years) Number of teachers 20 - 24 10 25 - 29 28 30 - 34 32 35 - 39 48 40 - 44 50 45 - 49 35 50 - 54 12

**Summary:**

A histogram for the class interval of age and the corresponding frequencies of the number of teachers is mentioned above

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