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, 86 - 88, etc.
(ii) Which month or season do you think this data is about?
(iii) What is the range of this data?
| 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 |
Solution:
By drawing a frequency distribution table, we can observe data.
(i) Let construct a grouped frequency distribution table with a class size of 2.
The relation humidity (in %) of a certain city for a month can be represented as follows:
|
RELATIVE HUMIDITY (in %) |
NO OF DAYS (frequency) |
|
84-86 86-88 88-90 90-92 92-94 94-96 96-98 98-100 |
1 1 2 2 7 6 7 4 |
|
TOTAL |
30 |
(ii) The following features can be observed from the above table:
- The relative humidity was 92% and above, over a period of 24 days (four-fifth of a month)
- Since the relative humidity % is very high, it must be data from a month of the rainy season or monsoon such as July or August.
(iii) Range of data = maximum value – minimum value
= 99.2 – 84.9
= 14.3
☛ Check: NCERT Solutions for Class 9 Maths Chapter 14
Video Solution:
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, 86 - 88, etc. (ii) Which month or season do you think this data is about? (iii) What is the range of this data?
NCERT Solutions for Class 9 Maths Chapter 14 Exercise 14.2 Question 3
The relative humidity data (in %) of a certain city for a month of 30 days is given. A grouped frequency distribution table with classes 84 - 86, 86 - 88 has been created. We have found that the relative humidity was 92% and above over a period of 24 days (four-fifth of a month), it must be data from a month of the rainy season, and the range of data is 14.3.
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