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# 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 89i) 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) A grouped frequency distribution table of class size 2 has to be constructed.

The class intervals will be -84 - 86, 86 - 88, and -99 - 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