NCERT Solutions for Class 11th: Ch 3 Presentation of Data Statistics of Economics
Exercises
Page No: 56
Answer the following questions, 1 to 10, choosing the correct answer
(i) one-dimensional diagram
(ii) two-dimensional diagram
(iii) diagram with no dimension
(iv) none of the above
► (i) one-dimensional diagram
(i) mean
(ii) mode
(iii) median
(iv) all the above
► (ii) mode
(i) mode
(ii) mean
(iii) median
(iv) none of the above
► (iii) median
(i) long-term trend
(ii) cyclicity in data
(iii) seasonality in data
(iv) all the above
► (i) long-term trend
► False. Width of bars in a bar diagram need to be equal.
► False. Width of rectangles in a histogram may or may not be equal.
► True
Page No: 57
► False. Histogram and column diagram are the different method of presentation of data.
► True
► False. Median of a frequency distribution can be known from the ogives.
(i) Monthly rainfall in a year
(ii) Composition of the population of Delhi by religion
(iii) Components of cost in a factory
Answer
(i) Monthly rainfall in a year - simple bar diagram as only one variable i.e. monthly rainfall is to be present and compared visually.
(ii) Composition of the population of Delhi by religion - Simple bar diagram Plotting different religion on the x-axis and the number of people on the y-axis, one can easily compare the number of the population religion-wise.
(iii) Components of cost in a factory - Pie chart as entire circle represents the total cost and various components of costsare shown by different portions of the circle.
Answer
The number of rural non-workers is greater than urban non-workers. The higher number of rural non-workers indicates lower level of urbanisation in India according to 2001 Census data.
13. How does the procedure of drawing a histogram differ when class intervals are unequal in comparison to equal class intervals in a frequency table?
Urban non workers | Rural Non Workers | Total Non workers |
| 19 crores | 42 crores | 62 crores |
The number of rural non-workers is greater than urban non-workers. The higher number of rural non-workers indicates lower level of urbanisation in India according to 2001 Census data.
13. 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
When the class intervals are equal then by normal method we can make histogram which has equal width of rectangle. When the class intervals are unequal, heights of rectangles are to be adjusted to yield comparable measurements by using frequency density (class frequency divided by width of the class interval) instead of absolute frequency.
14. 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 exports 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.
14. 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 exports 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)
(i)
Sugar Production in India | |||
Date | Total Production (tonnes) | Internal Consumption (tonnes) | Export of sugar (tonnes) |
| December, 2000 | 3,78,000 | 1,54,000 | - |
| December, 2000 | 3,27,000 | 2,83,000 | 41,000 |
(ii) To present these data in diagrammatic form we can use multiple bar diagram because these are effective in comparing two or more sets of data.
(iii)
Answer
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