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


Solution

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 |||| | 6
30-31 |||| 5
31-32 ||| 3
32-33 |||| 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 34oC = 2 + 6 + 5 + 3 + 5 + 3 = 24.
 
(ii) The number of days the maximum temperature was 34oC or more than 34oC = 3 + 2 + 1 = 6.

Mathematics
Mathematics Part - I (Solutions)
Standard IX

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