{"id":120406,"date":"2022-05-10T11:53:16","date_gmt":"2022-05-10T06:23:16","guid":{"rendered":"https:\/\/www.mapsofindia.com\/my-india\/?p=120406"},"modified":"2022-05-10T11:53:16","modified_gmt":"2022-05-10T06:23:16","slug":"chapter-4-presentation-of-data-questions-and-answers-ncert-solutions-for-class-11-economicsstatistics-for-economics","status":"publish","type":"post","link":"https:\/\/www.mapsofindia.com\/my-india\/education\/chapter-4-presentation-of-data-questions-and-answers-ncert-solutions-for-class-11-economicsstatistics-for-economics","title":{"rendered":"Chapter 4 – Presentation of Data Questions and Answers: NCERT Solutions for Class 11 Economics(Statistics for Economics)"},"content":{"rendered":"

Question 1.
\nBar diagram is a
\n(a) one-dimensional diagram
\n(b) two-dimensional diagram
\n(c) diagram with no dimension
\n(d) None of these<\/h2>\n

Answer:
\n(a) Bar diagrams are one-dimensional diagrams. Though these are represented on a plane of two axis in form of rectangular bars, the width is of no consequence and only the length depicts the frequency.<\/h3>\n

Question 2.
\nData represented through a histogram can help in finding graphically the
\n(a) mean
\n(b) mode
\n(c) median
\n(d) All of these<\/h2>\n

Answer:
\n(b) Histogram gives value of mode of the frequency distribution graphically through the highest rectangle.<\/h3>\n

Question 3.
\nOgives can be helpful in locating graphically the
\n(a) mode
\n(b) mean
\n(c) median
\n(d) None of these<\/h2>\n

Answer:
\n(c) Intersection point of the less than and more than ogives gives the median.<\/h3>\n

Question 4.
\nData represented through arithmetic line graph help in understanding
\n(a) long term trend
\n(b) cyclicity in data
\n(c) seasonality in data
\n(d) All of the above<\/h2>\n

Answer:
\n(a) Arithmetic line graph helps in understanding the trend, periodicity, etc in a long term time series data.<\/h3>\n

Question 5.
\nWidth of bars in a bar diagram need not be equal. (True\/False)<\/h2>\n

Answer:
\nFalse
\nBar diagram comprises a group of equispaced and equiwidth rectangular bars for each class or category of data.<\/h3>\n

Question 6.
\nWidth of rectangles in a histogram should essentially be equal. (True\/False)<\/h2>\n

Answer:
\nFalse
\nIf the class intervals are of equal width, the area of the rectangles are proportional to their respective frequencies and width of rectangles will be equal. However, sometimes it is convenient or necessary to use varying width of class intervals and hence unequal width of rectangles.<\/h3>\n

Question 7.
\nHistogram can only be formed with continuous classification of data. (True\/False)<\/h2>\n

Answer:
\nTrue
\nA histogram is never drawn for a discrete variable\/data. If the classes are not continuous they are first converted into continuous classes.<\/h3>\n

Question 8.
\nHistogram and column diagram are the same method of presentation of data. (True\/False)<\/h2>\n

Answer:
\nFalse
\nHistogram is a two dimensional diagram drawn for continuous data and the rectangles do not have spaces in between while column diagram is one dimensional with space in between every column (bar).<\/h3>\n

Question 9.
\nMode of a frequency distribution can be known graphically with the help of histogram. (True\/False)<\/h2>\n

Answer:
\nTrue
\nHistogram gives value of mode of the frequency distribution graphically through the highest rectangle.<\/h3>\n

Question 10.
\nMedian of a frequency distribution cannot be known from the ogives. (True\/False)<\/h2>\n

Answer:
\nFalse
\nIntersection-point of the less than and more than ogives gives the median.<\/h3>\n

Question 11.
\nWhat kind of diagrams are more effective in representing the following?
\n(a) Monthly rainfall in a year
\n(b) Composition of the population of Delhi by religion
\n(c) Components of cost in a factory<\/h2>\n

Answer:
\n(a) The monthly rainfall in a year can be best represented by a bar diagram as only one variable i.e., monthly rainfall is to be presented diagrammatically. The rainfall is plotted on Y-axis in the corresponding month that is plotted on the X-axis.
\n(b) Composition of the population of Delhi by religion can be represented by a component bar diagram. A component bar diagram shows the bar and its sub-divisions into two or more components. Thus, the total population can be sub divided in terms of religion and presented through a component bar diagram.
\n(c) Different components of cost in a factory can most effectively be depicted through a pie chart. The circle represents the total cost and various components of costs are shown by different portions of the circle drawn according to percentage of total cost each component covers.<\/h3>\n

Question 12.
\nSuppose 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?<\/h2>\n

Answer:
\nShare of urban workers and non workers in India<\/h3>\n

Location
\nSex
\nWorker in urban (in crore)
\nNon-worker in urban (in crore)
\nTotal
\nMale
\n50
\n70
\n120
\nFemal
\n25
\n50
\n75
\nTotal
\n75
\n120
\n195<\/h3>\n

Question 13.
\nHow does the procedure of drawing a histogram differ when class intervals are unequal in comparison to equal class intervals in a frequency table?<\/h2>\n

Answer:
\nA histogram is a set of rectangles with bases as the intervals between class boundaries (along X-axis) and with areas proportional to the class frequency. If the class intervals are of equal width, the area of the rectangles are proportional to their respective frequencies.
\nHowever, sometimes it is convenient or at times necessary, to use varying width of class intervals. For graphical representation 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, all rectangles have the same base and area can conveniently be represented by the frequency of the interval.
\nBut, when bases vary in their width, the heights of rectangles are to be adjusted to yield comparable measurements by dividing class frequency by width of the class interval instead of absolute frequency. This gives us the frequency density for the purpose of comparison.
\nThusFrequency density(Height of rectangle)=Class FrequencyWidth of the class interval<\/h3>\n

Question 14.
\nThe Indian Sugar Mills Association reported that, \u2018sugar 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 exports as against 1,54,000 tonnes for internal consumption and nil for exports during the same fortnight last season.\u2019
\n(i) Present the data in tabular form.
\n(ii) Suppose you were to present these data in diagrammatic form which of the diagrams would you use and why?
\n(iii) Present these data diagrammatically.<\/h2>\n

Answer:
\n(i) Data in tabular form.
\nSugar Production in India<\/h3>\n

Total Production (tonnes)
\nOff-take for Internal Consumption (tonnes)
\nOff-take for Exports (tonnes)
\nDecember 2000
\n378000
\n154000
\n\u2014
\nDecember 2001
\n387000
\n283000
\n41000
\n(ii) The data can effectively be presented diagrammatically using the multiple bar diagram. This is because multiple bar diagrams are used for comparing two or more sets of data for different years or classes, etc.<\/h3>\n

\"\"<\/p>\n

Question 15.
\nThe following table shows the estimated sectoral real growth rates (percentage change over the previous year) in GDP at factor cost.<\/h2>\n

\"\"<\/p>\n

Represent the data as multiple time-series graphs.<\/h2>\n

Answer:<\/h3>\n

\"\"<\/p>\n","protected":false},"excerpt":{"rendered":"

Class 11 Economics(Statistics for Economics) NCERT book solutions for Chapter 4 – Presentation of Data Questions and Answers.<\/p>\n","protected":false},"author":21830,"featured_media":120395,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[7],"tags":[],"class_list":{"0":"post-120406","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-education"},"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts\/120406","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/users\/21830"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/comments?post=120406"}],"version-history":[{"count":1,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts\/120406\/revisions"}],"predecessor-version":[{"id":120411,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts\/120406\/revisions\/120411"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/media\/120395"}],"wp:attachment":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/media?parent=120406"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/categories?post=120406"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/tags?post=120406"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}