हिंदी

The marks out of 100 obtained by Kunal and Soni in the Half Yearly Examination are given below: Subjects English Hindi Maths Science S. Science Sanskirt Kunal 72 81 92 96 64 85 Soni 86 89 90 82 75 82

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प्रश्न

The marks out of 100 obtained by Kunal and Soni in the Half Yearly Examination are given below:

Subjects English Hindi Maths Science S. Science Sanskirt
Kunal 72 81 92 96 64 85
Soni 86 89 90 82 75 82
  1. Draw a double bar graph by choosing appropriate scale.
  2. Calculate the total percentage of marks obtained by Soni.
  3. Calculate the total percentage of marks obtained by Kunal.
  4. Compare the percentages of marks obtained by Kunal and Soni.
  5. In how many subjects did Soni get more marks than Kunal? Which are those subjects?
  6. Who got more marks in S. Science and what was the difference of marks?
  7. In which subject the difference of marks was maximum and by how much?
आलेख
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उत्तर

a. Steps to construct the bar graphs are as follows:

Step I: We draw two lines perpendicular to each other on a graph paper and call them horizontal and vertical axes.

Step II: Along the horizontal axis, OX mark the subjects and along vertical axis, OY mark the marks obtained.

Step III: We choose a suitable scale to determine the heights of bars. Here, we choose the scale as 1 small division to represent 5 marks.

Step IV: First, we draw the bars for Kunal and then bars for Soni for different years.

Bars for Kunal and Soni shaded separately and the shading is shown in the top right corner of the graph paper.


b. Total percentage of marks obtained by Soni

= `("Total marks obtained by Soni in six subjects"/600 xx 100)%`

= `((86 + 89 + 90 + 82 + 75 + 82)/600 xx 100)%`

= `(504/600 xx 100)%`

= 84%

c. Total percentage of marks obtained by Kunal

= `("Total marks obtained by Kunal in six subjects"/600 xx 100)%`

= `((72 + 81 + 92 + 96 + 64 + 85)/600 xx 100)%`

= `(490/600 xx 100)%`

= 81.6%

d. Ratio of percentage marks obtained by Kunal and Soni = 81.6 : 84 = 34 : 35

e. In English, Hindi and S.Science, Soni get more marks than Kunal.

f. Marks obtained by Kunal and Soni is S.Science are 64 and 75, respectively. Therefore, Soni got more marks than Kunal by 11 marks.

g. In English and Science, the difference of marks was maximum = (504 – 490), i.e. 14 marks.

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अध्याय 3: Data Handling - Exercise [पृष्ठ ९१]

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एनसीईआरटी एक्झांप्लर Mathematics Exemplar Class 7
अध्याय 3 Data Handling
Exercise | Q 86. | पृष्ठ ९१

संबंधित प्रश्न

Number of children in six different classes are given below. Represent the data on a bar graph.

Class Fifth Sixth Seventh Eighth Ninth Tenth
Number of children 135 120 95 100 90 80
  1. How would you choose a scale?
  2. Answer the following questions:
    1. Which class has the maximum number of children? And the minimum?
    2. Find the ratio of students of class sixth to the students of class eight.

Consider this data collected from a survey of a colony.

Favourite sport Cricket Basket Ball Swimming Hockey Athletics
Watching 1240 470 510 430 250
Participating 620 320 320 250 105
  1. Draw a double bar graph choosing an appropriate scale. What do you infer from the bar graph?
  2. Which sport is most popular?
  3. Which is more preferred, watching or participating in sports?

Take the data giving the minimum and the maximum temperature of various cities given in the following table:

Temperatures of the cities as on 20.6.2006
City Max. Min.
Ahmedabad 38ºC 29ºC
Amritsar 37ºC 26ºC
Banglore 28ºC 21ºC
Chennai 36ºC 27ºC
Delhi 38ºC 28ºC
Jaipur 39ºC 29ºC
Jammu 41ºC 26ºC
Mumbai 32ºC 27ºC

Plot a double bar graph using the data and answer the following:

  1. Which city has the largest difference in the minimum and maximum temperature on the given date?
  2. Which is the hottest city and which is the coldest city?
  3. Name two cities where maximum temperature of one was less than the minimum temperature of the other.
  4. Name the city which has the least difference between its minimum and the maximum temperature.

The following table shows the number of Buses and Trucks in nearest lakh units. Draw percentage bar-diagram. (Approximate the percentages to the nearest integer)

Year No. of Trucks No. of Buses
2006-2007 47 9
2007-2008 56 13
2008-2009 60 16
2009-2010 63 18

The following table shows the number of Buses and Trucks in nearest lakh units. Draw percentage bar-diagram. (Approximate the percentages to the nearest integer)

Year No. of Trucks No. of Buses
2005-2006 47 9
2007-2008 56 13
2008-2009 60 16
2009-2010 63 18

Bar diagram of first term scores of a student are given.

a. The highest score is in _________.

b. The lowest score is in _________.

c. The same scores are in _________ and _________.


Practice time: Afterschool

Ask 10 of your friends about what they like to do most after school.

What they like to do
after school
Number of children
Watching TV  
Playing football  
Reading storybooks  
   
   
   

In a bar graph, each bar (rectangle) represents only one value of the numerical data.


In a bar graph, bars of ______ width can be drawn horizontally or vertically with ______ spacing between them.


Study the bar graph given below and answer the questions that follow:

  1. What information is depicted from the bar graph?
  2. In which subject is the student very good?
  3. Calculate the average marks of the student.
  4. If 75 and above marks denote a distinction, then name the subjects in which the student got distinction.
  5. Calculate the percentage of marks the student got out of 500.

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