Question

The relative humidity (in %) of a certain city for a month of 30 days is 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 1

Hint: Calculate the number of variables lying between respective intervals and note them down.Range of the data is the difference between the maximum and minimum values.

Complete step-by-step answer:
 (i)

Relative humidity (in %)	Tally	No. of days
84-86	|	1
86-88	|	1
88-90	||	2
90-92	||	2
92-94	|||| ||	7
94-96	|||| |	6
96-98	|||| ||	7
98-100	||||	4

(ii) As observed, the relative humidity is high. This shows that this data can be of month of rainy season (As humidity is high during rainy seasons)

(iii) Range of data is given as:
     Maximum value – Minimum Value
     $ = 99.2 - 84.9$ (By observation)
     $ = 14.3$

Therefore, the range of the given data is 14.3

Note: Number of classes formed will depend upon the data and the size of the class interval taken. Here, the size of class was given as 2 and the number of classes formed was 8. If instead we would have given the class size as 5, the number of classes formed would have been less.