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, etc.

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

(iii) What is the range of this data?

(i) The given data is very large. Therefore, we will be construct a group frequency of class size 2.

Therefore,

Class interval will be:

84 – 86, 86 – 88, 88 – 90, 90 – 92 and so on.

The data is represented in the table as:

RELATIVE HUMIDITY (in %) | 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) The humidity is very high in the data which is observed during rainy season. Hence, it must be rainy season.

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

= 99.2 – 84.9

= 14.3

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