मराठी
महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता ९ वी

In the table given below, the information is given about roads. Using this draw a sub-divided and percentage bar diagram (Approximate the percentages to the nearest integer).

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प्रश्न

In the table given below, the information is given about roads. Using this draw a sub-divided and percentage bar diagram (Approximate the percentages to the nearest integer).

Year    Permanent Roads 
      ( Lakh km.)
  Temporary Roads 
      ( Lakh km.)
2000-2001 14 10
2001-2002 15 11
2002-2003 17 13
2003-2004 20 19
आलेख
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उत्तर

1. Sub-divided Bar Diagram:

Year Permanent Roads
(Lakh km.)
Temporary Roads
(Lakh km.)
Total
2000-2001 14 10 24
2001-2002 15 11 26
2002-2003 17 13 30
2003-2004 20 19 39

2. Percentage Bar Diagram:

Year Permanent Roads
(Lakh km.)
Percentage of permanent roads Temporary Roads
(Lakh km.)
Percentage of temporary roads
2000-2001 14 = `14 / (14 + 10)` × 100 = `1400 / 24` = 58.33 ≈ 58 10 = `10/ (14 + 10)` × 100 = `1000 / 24` = 41.66 ≈ 42
2001-2002 15 = `15 / (15 + 11)` × 100 = `1500 / 26 ` = 57.69 ≈ 58 11 = `11/ (15 + 11)` × 100 = `1100 / 26` = 42.30 ≈ 42 
2002-2003 17 = `17 / (17+13)` × 100 = `1700 / 30` = 56.66 ≈ 57 13 = `13 / (17 + 13)` × 100 = `1300/30` = 43.33 ≈ 43
2003-2004 20 = `20 / ( 20 + 19)` × 100 = `2000 / 39` = 51.28 ≈ 51 19 = `19/( 20 + 19)` × 100 = `1900/39` = 48.71 ≈ 49

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पाठ 7: Statistics - Practice set 7.1 [पृष्ठ १११]

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बालभारती Mathematics 1 [English] Standard 9 Maharashtra State Board
पाठ 7 Statistics
Practice set 7.1 | Q (2) | पृष्ठ १११

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.

The performance of students in 1st Term and 2nd Term is given. Draw a double bar graph choosing appropriate scale and answer the following:

Subject English Hindi Maths Science S. science
1st Term (M.M. 100) 67 72 88 81 73
2nd Term (M.M. 100) 70 65 95 85 75
  1. In which subject, has the child improved his performance the most?
  2. In which subject is the improvement the least?
  3. Has the performance gone down in any subject?

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.

Plot the points (2, 8), (7, 8) and (12, 8). Join these points in pairs. Do they lie on a line? What do you observe?


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

Comparison of parts of a whole may be done by a ______.


The graph given below shows the marks obtained out of 10 by Sonia in two different tests. Study the graph and answer the questions that follow.

  1. What information is represented by the axes?
  2. In which subject did she score the highest in Test I?
  3. In which subject did she score the least in Test II?
  4. In which subject did she score the same marks in both the Tests?
  5. What are the marks scored by her in English in Test II?
  6. In which test was the performance better?
  7. In which subject and which test did she score full marks?

The following chart gives the growth in height in terms of percentage of full height of boys and girls with their respective ages.

Age (in years) 8 9 10 11 12 13 14 15 16 17

18

Boys 72% 75% 78% 81% 84% 88% 92% 95% 98% 99% 100%
Girls 77% 81% 84% 88% 91% 95% 98% 99% 99.5% 100% 100%

Draw the line graph of above data on the same sheet and answer the following questions.

  1. In which year both the boys and the girls achieve their maximum height?
  2. Who grows faster at puberty (14 years to 16 years of age)?

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


The bar graph given below represents approximate length (in kilometres) of some National Highways in India.

Study the bar graph and answer the following questions:

Scale: 1 unit length = 200 km

  1. Which National Highway (N.H.) is the longest among the above?
  2. Which National Highway is the shortest among the above?
  3. What is the length of National Highway 9?
  4. Length of which National Highway is about three times the National Highway 10?

The following table gives the number of vehicles passing through a toll gate, every hour from 8.00 am. to 1.00 pm:

Time
Interval
8.00
to
9.00
9.00
to
10.00
10.00
to
11.00
11.00
to
12.00
12.00
to
1.00
Number
of vehicles
250 450 300 250 150

Draw a bar graph representing the above data.


Prepare a bar graph of the data given in the question. 

Surname Number of people  = 100 people
Khan
Patel
Rao
Roy
Saikia
Singh

Study the double bar graphs given below and answer the following questions:

  1. Which sport is liked the most by Class VIII students?
  2. How many students of Class VII like Hockey and Tennis in all?
  3. How many students are there in Class VII?
  4. For which sport is the number of students of Class VII less than that of Class VIII?
  5. For how many sports students of Class VIII are less than Class VII?
  6. Find the ratio of students who like Badminton in Class VII to students who like Tennis in Class VIII.

Study the double bar graph shown below and answer the questions that follow:

  1. What information is represented by the above double bar graph?
  2. In which month sales of Brand A decreased as compared to the previous month?
  3. What is the difference in sales of both the Brands for the month of June?
  4. Find the average sales of Brand B for the six months.
  5. List all months for which the sales of Brand B was less than that of Brand A.
  6. Find the ratio of sales of Brand A as compared to Brand B for the month of January.

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

  1. What information is compared in the above given double bar graph?
  2. Calculate the ratio of minimum temperatures in the year 2008 to the year 2009 for the month of November.
  3. For how many months was the minimum temperature in the year 2008 greater than that of year 2009? Name those months.
  4. Find the average minimum temperature for the year 2008 for the four months.
  5. In which month is the variation in the two temperatures maximum?

The following table shows the average intake of nutrients in calories by rural and urban groups in a particular year. Using a suitable scale for the given data, draw a double bar graph to compare the data.

Foodstuff Rural Urban
Pulses 35 49
Leafy vegetables 14 21
Other vegetables 51 89
Fruits 35 66
Milk 70 250
Fish and flesh floods 10 22
Fats and Oils 9 35
Sugar/Jaggery 19 31

Study the double bar graph and answer the questions that follow:

  1. What information does the double bar graph represent?
  2. Find the total number of boys in all sections of Class VII.
  3. In which sections, the number of girls is greater than the number of boys?
  4. In which section, the number of boys is the maximum?
  5. In which section, the number of girls is the least?

The table below compares the population (in hundreds) of 4 towns over two years:

Towns A B C D
2007 2900 6400 8300 4600
2009 3200 7500 9200 6300

Study the table and answer the following questions:

  1. Draw a double bar graph using appropriate scale to depict the above information.
  2. In which town was the population growth maximum?
  3. In which town was the population growth least?

The table below gives the data of tourists visiting 5 hill stations over two consecutive years. Study the table and answer the questions that follow:

Hill stations Nainital Shimla Manali Mussoorie Kullu
2008 4000 5200 3700 5800 3500
2009 4800 4500 4200 6200 4600
  1. Draw a double bar graph to depict the above information using appropriate scale.
  2. Which hill station was visited by the maximum number of tourists in 2008?
  3. Which hill station was visited by the least number of tourists in 2009?
  4. In which hill stations was there increase in number of tourists in the year 2009?

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