Chart

Sum

Draw a cumulative frequency curve (ogive) for each of the following distributions:

Class Interval | 10 – 19 | 20 – 29 | 30 – 39 | 40 – 49 | 50 – 59 |

Frequency | 23 | 16 | 15 | 20 | 12 |

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#### Solution

Class Interval (Inclusive) | Class Interval (Exclusive) | Frequency | Cumulative Frequency |

10-19 | 9.5-19.5 | 23 | 23 |

20-29 | 19.5-29.5 | 16 | 39 |

30-39 | 29.5-39.5 | 15 | 54 |

40-49 | 39.5-49.5 | 20 | 74 |

50-59 | 49.5-59.5 | 12 | 86 |

Total | 86 |

**Steps of construction:**

(a) Convert the data into exclusive form.

(b) Taking suitable scales, mark class intervals on x-axis and frequency on y-axis.

(c) Construct rectangles with class intervals as bases and corresponding frequencies as heights.

(d) Join the mid-points of the rectangle to obtain the ogive.

Concept: Ogives (Cumulative Frequency Graphs)

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