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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 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?


Answer :

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 - 861
86 - 881
88 - 902
90 - 922
92 - 947
94 - 966
96 - 987
98 - 1004
Total30


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

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