NCERT Solutions Class 11 Economics Chapter 4 Presentation of Data

NCERT Solutions Class 11 Economics Chapter 4 Presentation of Data have been provided below and is also available in Pdf for free download. The NCERT solutions for Class 11 Economics have been prepared as per the latest syllabus, NCERT books and examination pattern suggested in Class 11 by CBSE, NCERT and KVS. Questions given in NCERT book for Class 11 Economics are an important part of exams for Class 11 Economics and if answered properly can help you to get higher marks. Refer to more Chapter-wise answers for NCERT Class 11 Economics and also download more latest study material for all subjects. Chapter 4 Presentation of Data is an important topic in Class 11, please refer to answers provided below to help you score better in exams

Chapter 4 Presentation of Data Class 11 Economics NCERT Solutions

Class 11 Economics students should refer to the following NCERT questions with answers for Chapter 4 Presentation of Data in Class 11. These NCERT Solutions with answers for Class 11 Economics will come in exams and help you to score good marks

Chapter 4 Presentation of Data NCERT Solutions Class 11 Economics

 

NCERT Solution for Class 11 Statistics for chapter 4 Presentation of Data

Answer the following questions, 1 to 4, choosing the correct answer.

Question 1. Bar diagram is a

i. one-dimensional diagram
ii. two-dimensional diagram
iii. diagram with no dimension
iv. none of the above

Answer: i. one-dimensional diagram

Explanation: Bar diagrams are called one-dimensional because it is only the height of the the bars that matters not the width.


Question 2. Data represented through a histogram can help in finding graphically the

i. mean
ii. mode
iii. median
iv. non-of the above

Answer: ii. mode

Explanation: Histogram consists of a set of rectangles adjacent to each other in which each rectangle represents the class interval with the frequency.


Question 3. Ogives can be helpful in locating graphically the

i. mean

ii. mode

iii. median

iv. non-of the above

Answer: iii median

Explanation: Ogive or cumulative frequency curve are constructed by plotting cumulative frequency data on the graph paper, in the form of a smooth curve. The intersection point of two ogive curves i.e. ‘less than’ and ‘more than’ ogive curves is called median.


Question 4. Data represented through arithmetic line graph help in understanding

(i) Long term trend

(ii) Cyclicity in data

(iii) seasonality in data

(iv) all the above

Answer: i. long term trend

Explanation: Arithmetic line graphs are also called time series graph. These graphs are used to present the information which is given over a period of time. Here time is plotted on X axis and value of variable on Y axis.


Question 5. State whether the following statements are True or False.

(i) Width of bars in a bar diagram need not to be equal.

(ii) Width of rectangles in a histogram should essentially be equal

(iii) Histogram can only be formed with continuous classification of data.

(iv) Histogram and column diagram are the same method of presentation of data.

(v) Mode of a frequency distribution can be known graphically with the help of a histogram.

(vi) Median of a frequency distribution cannot be known from the ogives.


Answer:

(i) Width of bars in a bar diagram need not to be equal. – False

Reason: In bar diagrams all bars needs to be of equal width and also at equal distance from each other.


(ii) Width of rectangles in a histogram should essentially be equal – False
Reason: Width of rectangles in a histogram may or may not be equal it depends on the width of class intervals.


(iii) Histogram can only be formed with continuous classification of data. – True

Reason: A histogram is never drawn for a discrete variable/data. If the classes are not continuous they are first converted into continuous classes and then histogram is drawn.


(iv) Histogram and column diagram are the same method of presentation of data. – False

Reason: A histogram is a two dimensional diagram with set of rectangles with no spacing in between. On the other hand column (bar) diagram is a one-dimensional diagram with equal space between every Column (bar). Histogram is never drawn for a discrete variable/data whereas column diagram can be drawn for discrete variable/ data.


(v) Mode of a frequency distribution can be known graphically with the help of a histogram. – True

Reason: The highest rectangle of the histogram gives the value of mode of the frequency distribution


(vi) Median of a frequency distribution cannot be known from the ogives. - False

Reason: The intersection point of two ogive curves i.e. ‘less than’ and ‘more than’ ogive curves gives the value of median.


Question 6. What kinds of diagrams are more effective in representing the following?

(i) Monthly rainfall in a year.

(ii) Composition of the population of Delhi by religion

(iii) Components of cost in a factory

Answer:

i. Simple bar diagram

Reason: Monthly rainfall in a year is a discrete variable hence it can be best represented by a simple bar diagram with rainfall on Y-axis and months in the year on the X- axis.


ii. Component bar diagram

Reason: Component bar diagrams or sub-divided bar diagrams are to be used, if the total values of the given data are divided into various sub-parts or components. In this case the total population of Delhi can be sub-divided in terms of religion and can be presented by a component bar diagram.


iii. Pie diagram or pie chart

Reason: A pie diagram or circular diagram also know as pie chart represents a circle whose area is proportionally divided into the components which it represents. The components of cost in a factory can be easily represented by the pie chart. The circle will represent the total cost and different sectors or portions of the circle will represent the various components of cost according to their respective percentage share in total cost.


Question 7. Suppose you want to emphasise the increase in the share of urban non-workers and lower level of urbanisation in India as shown in Example 4.2. How would you do it in the tabular form?

Answer: To showcase the increase in the share of urban non-workers and lower level of urbanisation in India, the data given in the example 4.2 (Case 2, page no.41) can be tabulated as follows:

 

 

Urban areas

Rural areas

Total

Worker population

9

31

40

Non- workers population

19

43

62

Total

28

74

102

From the above table we can see that out of total population of 102 crore, 74 crore people are residing in rural India and only 28 crore people are living in urban areas. This clearly indicates the low levels of urbanisation in the country.

Higher share of urban non-workers can be indicated from the fact that 19 crores people out of total 28 crore population in urban areas are non-working (i.e. 67.85% urban population is non-working), as compared to rural India where 43 crore out of 74 crore people are non- working (i.e. 58.1% of rural population is non-working).


Question 8. How does the procedure of drawing a histogram differ when class intervals are unequal in comparison to equal class intervals in a frequency table?

Answer: Histogram consists of a set of rectangles adjacent to each other in which each rectangle represents the class interval with the frequency.

If the class intervals are of equal width, the area of the rectangles is proportional to their respective frequencies.

However, for some type of data, it is suitable, at times essential, to use varying width of class intervals.

For graphical illustration of such data, height for area of a rectangle is the quotient of height (i.e. frequency) and base (i.e. width of the class interval).

When intervals are equal, i.e. when all rectangles have the same base, area can easily be represented by the frequency of any interval for purposes of comparison.

But when class intervals are unequal i.e., bases vary in width, the frequencies (height of the rectangle) must be adjusted by calculating frequency density i.e. (class frequency divided by the width of the class interval) to yield comparable measurements.


Question 9. The Indian Sugar Mills Association reported that, ‘Sugar production during the first fortnight of December 2001 was about 3,87,000 tonnes as against 3,78,000 tonnes during the same fortnight last year (2000). The off-take of sugar from factories during the first fortnight of December 2001 was 2,83,000 tonnes for internal consumption and 41,000 tonnes for export as against 1,54,000 tonnes for internal consumption and nil for exports during the same fortnight last season.’

(i) Present the data in tabular form.

(ii) Suppose you were to present these data in diagrammatic form which of the diagrams would you use and why?

(iii) Present these data diagrammatically.

Answer:

(i) Data in the tabular form is as follows:

Sugar production and off-take in India

Year

Production (in tones)

Off-take for internal consumption (in  tones)

Off take for Exports (in tones)

December 2000

3,78,000

1,54,000

0

December 2001

3,87,000

2,83,000

41,000

Source: The Indian Sugar Mills Association Report


(ii) To present this data in diagrammatic form we will use multiple bar diagrams, because they are used for comparing two sets of data for different classes or years effectively.

(iii) Diagrammatic presentation of the data:

image

 

 

Question 10. The following table shows the estimated sectoral real growth rates (percentage change over the previous year) in GDP at factor cost.

Year

Agriculture and allied sectors

Industry

Services

1994-95

5.0

9.2

7.0

1995-96

-0.9

11.8

10.3

1996-97

9.6

6.0

7.1

1997-98

-1.9

5.9

9.0

1998-99

7.2

4.0

8.3

1999-2000

0.8

6.9

8.2

Represent the data as multiple time series graphs.

Answer

image

 

 

Indian Economic Development Chapter 01 Indian Economy on the Eve of Independence
NCERT Solutions Class 11 Economics Chapter 1 Indian Economy on the Eve of Independence
Indian Economic Development Chapter 02 Indian Economy 1950-1990
NCERT Solutions Class 11 Economics Chapter 2 Indian Economy 1950 1990
Indian Economic Development Chapter 03 Liberalisation, Privatisation and Globalisation: An Appraisal
NCERT Solutions Class 11 Economics Chapter 3 Liberalisation Privatisation And Globalisation An Appraisal
Indian Economic Development Chapter 04 Poverty
NCERT Solutions Class 11 Economics Chapter 4 Poverty
Indian Economic Development Chapter 05 Human Capital Formation In India
NCERT Solutions Class 11 Economics Chapter 5 Human Capital Formation in India
Indian Economic Development Chapter 06 Rural Development
NCERT Solutions Class 11 Economics Chapter 6 Rural Development
Indian Economic Development Chapter 07 Employment Growth Informalisation and Other Issues
NCERT Solutions Class 11 Economics Chapter 7 Employment Growth Informalisation and other Issues
Indian Economic Development Chapter 08 Infrastructure
NCERT Solutions Class 11 Economics Chapter 8 Infrastructure
Indian Economic Development Chapter 09 Environment and Sustainable Development
NCERT Solutions Class 11 Economics Chapter 9 Environment and Sustainable Development
Indian Economic Development Chapter 10 Comparative Development Experiences Of India and Its Neighbors
NCERT Solutions Class 11 Economics Chapter 10 Comparative Development Experiences of India and Its Neighbors
Statistics for Economics Chapter 01 Introduction
NCERT Solutions Class 11 Economics Chapter 1 Introduction
Statistics for Economics Chapter 02 Collection of Data
NCERT Solutions Class 11 Economics Chapter 2 Collection of Data
Statistics for Economics Chapter 03 Organisation of Data
NCERT Solutions Class 11 Economics Chapter 3 Organisation of Data
Statistics for Economics Chapter 04 Presentation of Data
NCERT Solutions Class 11 Economics Chapter 4 Presentation of Data
Statistics for Economics Chapter 05 Measures of Central Tendency
NCERT Solutions Class 11 Economics Chapter 5 Measures of Central Tendency
Statistics for Economics Chapter 06 Measures of Dispersion
NCERT Solutions Class 11 Economics Chapter 6 Measures of Dispersion
Statistics for Economics Chapter 07 Correlation
NCERT Solutions Class 11 Economics Chapter 7 Correlation
Statistics for Economics Chapter 08 Index Numbers
NCERT Solutions Class 11 Economics Chapter 8 Index Numbers

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Chapter 4 Presentation of Data Class 11 NCERT Solution Economics

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Class 11 NCERT Solution Economics Chapter 4 Presentation of Data

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