# The relative humidity (in $\%$ ) of a certain city for a month of 30 days was as follows:(i) Construct a grouped frequency distribution table with classes 84 - 86

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Given:

The relative humidity (in $\%$ ) of a certain city for a month of 30 days is given.

To do:

We have to

(i) Construct a grouped frequency distribution table with classes 84 - 86, 86 - 88, etc.
(ii) Find the month or season the data is about.
(iii) Find the range of the data.

Solution:

(i) The given data is large, so we construct a grouped frequency distribution table of class size 2.

This implies,

The class intervals are 84-86, 86-88, 88-90, 90-92 and so on. The data is represented in the grouped frequency distribution table as follows:

 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) From the given data, the relative humidity is very high.

The relative humidity is observed to be high during the rainy season.

This implies,

The data must be about rainy season.

(iii) The range of a data $=$ The maximum value of the given data $-$ The minimum value of the given data

$= 99.2-84.9$

$= 14.3$

Updated on 10-Oct-2022 13:46:59