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Chapter 5 Data Handling Ex 5.2 Solutions

Question - 1 : -
The adjoining pie chart gives the marks scored in an examination bV a student in Hindi, Eng,ish, Mathemahcs, Social Science and Science. If the total marks obtained by the students were 540 answer the following questions.
        (i)   In which subject did the student score 105 marks?
        (ii)  How many more marks were obtained by the student in Mathematics than in Hindi?
        (iii) Examine whether the sum of the marks obtained in Social Science and Mathematics is more than that in Science and Hindi. (Hint: Just study the central angles.)

Answer - 1 : -

(i) For 540 marks, the central angle = 360°
                ∴ For 1 mark, the central angle
                 
        Hence, from the given pie chart, the subject is Hindi.
        (i)   Difference between the central angles made by the subject of Mathematics and Hindi
                = 90° – 70° – 20°.
                For the central angle of 360°, marks obtained
                = 540
                For the central angle of 1°, marks obtained
                 
                For the central angle of 20°, marks obtained
                Hence, 30 more marks were obtained by the student in Mathematics than Hindi.
        (iii) Sum of the central angles made by Social Science and Mathematics = 65° + 90° = 155°.
                And, the sum of the central angles made by Science and Hindi = 80° + 70° = 150°
                Science 155° > 150°, therefore, the sum of the marks obtained in Social Science and Mathematics is more than that in Science and Hindi.

Question - 2 : - The number of students in a hostel, speaking different languages is given below. Display the data in a pie chart.

Answer - 2 : -


Question - 3 : -
.    A survey was made to find the type of music that a certain group of young people likes in a city. Following pie chart shows the findings of this survey. From this pie chart answer the following questions:
                         
        (i)   If 20 people like classical music, how many young people were surveyed?
        (ii)  Which type of music is liked by the maximum number of people?
        (iii) If a cassette company were to make 1000 CD's, how many of each type would it make?

Answer - 3 : -

(i) Let x be the number of young people surveyed
         
        (ii)  light music is liked by the maximum number of people.
        (iii) Number of CD's in respect of
         

Question - 4 : - A group of 360 people were asked to vote for their favourite season from the three seasons-Rainy, winter and summer.
(i)   Which season got the most votes?
(ii)  Find the central angle of each sector.
(iii) Draw a ple chart to show this information.

Answer - 4 : -

(i) The winter season got the maximum votes.
        (ii)  The proportion of sectors (winter, summer and rainy seasons) are as
         
        Now, the various components may be shown by the adjoining pie chart.

Question - 5 : - Draw a pie chart showing the following information, table shows the colours preferred by a group of people.

Answer - 5 : -


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