The relative humidity (in %) of a certain city for a month of 30 days was as follows:-

98.1 | 98.6 | 99.2 | 90.3 | 86.5 | 95.3 | 92.9 | 96.3 | 94.2 | 95.1 |

89.2 | 92.3 | 97.1 | 93.5 | 92.7 | 95.1 | 97.2 | 93.3 | 95.2 | 97.3 |

96.2 | 92.1 | 84.9 | 90.2 | 95.7 | 98.3 | 97.3 | 96.1 | 92.1 | 89 |

(i) Construct a grouped frequency distribution table with classes

84 - 86, 86 - 88

(ii) Which month or season do you think this data is about?

(iii) What is the range of this data?

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#### Solution

(i) A grouped frequency distribution table of class size 2 has to be constructed. The class intervals will be 84 − 86, 86 − 88, and 88 − 90…

By observing the data given above, the required table can be constructed as follows.

Relative humidity (in %) |
Number of days (frequency) |

84 − 86 | 1 |

86 − 88 | 1 |

88 − 90 | 2 |

90 − 92 | 2 |

92 − 94 | 7 |

94 − 96 | 6 |

96 − 98 | 7 |

98 − 100 | 4 |

Total | 30 |

(ii) It can be observed that the relative humidity is high. Therefore, the data is about a month of rainy season.

(iii) Range of data = Maximum value − Minimum value

= 99.2 − 84.9 = 14.3

Concept: Presentation of Data

Is there an error in this question or solution?

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