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 $\overline{)||||}$ | 6 30-31 $\overline{)||||}$ 5 31-32 ||| 3 32-33 $\overline{)||||}$ 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. MathematicsMathematics Part - I (Solutions)Standard IX

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