Question

The monthly maximum temperature of a city is given in degree celcius in the following data. By taking suitable classes, prepare the grouped frequency distribution table

29.2, 29.0, 28.1, 28.5, 32.9, 29.2, 34.2, 36.8, 32.0, 31.0, 30.5, 30.0, 33, 32.5, 35.5, 34.0, 32.9, 31.5, 30.3, 31.4, 30.3, 34.7, 35.0, 32.5, 33.5, 29.0, 29.5, 29.9, 33.2, 30.2

From the table, answer the following questions.

(i) For how many days the maximum temperature was less than 34^oC ?

(ii) For how many days the maximum temperature was 34^oC or more than 34^oC ?

Answer 1

Given:

The monthly maximum temperature of a city is given in degree celcius in the following data:

29.2, 29.0, 28.1, 28.5, 32.9, 29.2, 34.2, 36.8, 32.0, 31.0, 30.5, 30.0, 33, 32.5, 35.5, 34.0, 32.9, 31.5, 30.3, 31.4, 30.3, 34.7, 35.0, 32.5, 33.5, 29.0, 29.5, 29.9, 33.2, 30.2

The grouped frequency distribution table of the given data is as follows:

Class (Temperature)	Tally marks	Frequency
28-29	||	2
29-30	$\cancel{\left|\right|\left|\right|}$ |	6
30-31	$\cancel{\left|\right|\left|\right|}$	5
31-32	|||	3
32-33	$\cancel{\left|\right|\left|\right|}$	5
33-34	|||	3
34-35	|||	3
35-36	||	2
36-37	|	1
		Total N = 30

(i) The number of days the maximum temperature was less than 34^oC = 2 + 6 + 5 + 3 + 5 + 3 = 24.

(ii) The number of days the maximum temperature was 34^oC or more than 34^oC = 3 + 2 + 1 = 6.