Question 1

Q1: Bar diagram is a (i) one-dimensional diagram (ii) two-dimensional diagram (iii) diagram with no dimension (iv) none of the above

Accepted Answer

The correct answer is (i) one-dimensional diagram. In a bar diagram, the magnitude of the data is represented only by one dimension, which is the height or length of the bars. The width of the bars is kept uniform and does not represent any value; it is only for visual appeal. Therefore, it is consi...

Question 2

Q10: Median of a frequency distribution cannot be known from the ogives. (True/False)

Accepted Answer

False. The median of a frequency distribution can be determined graphically by drawing 'less than' and 'more than' ogives on the same graph. The x-coordinate of the intersection point of the two ogives represents the median value.

Question 3

Q11: What kind of diagrams are more effective in representing the following? (i) Monthly rainfall in a year (ii) Composition of the population of Delhi by...

Accepted Answer

The diagrams that are more effective for representing the given data are:    (i) Monthly rainfall in a year: A simple bar diagram is effective. Each month can be represented by a bar, and the height of the bar can represent the amount of rainfall, allowing for easy comparison across months.    (ii)...

Question 4

Q12: 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 wou...

Accepted Answer

To emphasise the high share of urban non-workers and the low level of urbanisation, the data can be presented in a table that includes calculated percentages. This makes the comparisons more direct and impactful. Table: Share of Non-Workers and Level of Urbanisation in India (2001) (Figures in crore...

Question 5

Q13: How does the procedure of drawing a histogram differ when class intervals are unequal in comparison to equal class intervals in a frequency table?

Accepted Answer

The procedure for drawing a histogram differs significantly when class intervals are unequal compared to when they are equal.    Equal Class Intervals: When all class intervals have the same width, the frequency of each class is directly represented by the height of its corresponding rectangle. The...

Question 6

Q14: The Indian Sugar Mills Association reported that, 'Sugar production during the first fortnight of December 2001 was about 3,87,000 tonnes, as against...

Accepted Answer

(i) Present the data in tabular form. Table: Sugar Production and Off-take in India (During the first fortnight of December, in '000 tonnes) | Item | 2000 | 2001 | | :--- | :--- | :--- | | Production | 378 | 387 | | Off-take | | | | - Internal Consumption | 154 | 283 | | - Exports | 0 | 41 | | Total...

Question 7

Q15: The following table shows the estimated sectoral real growth rates (percentage change over the previous year) in GDP at factor cost. | Year | Agricult...

Accepted Answer

To represent the given data as multiple time series graphs (also known as multiple arithmetic line graphs), the following procedure should be followed: 1.  Set up the Axes:        The X-axis will represent the 'Year', with markings for 1994-95, 1995-96, 1996-97, 1997-98, 1998-99, and 1999-2000....

Question 8

Q2: Data represented through a histogram can help in finding graphically the (i) mean (ii) mode (iii) median (iv) all the above

Accepted Answer

The correct answer is (ii) mode. A histogram can be used to determine the mode of a frequency distribution graphically. This is done by identifying the tallest rectangle (representing the modal class) and drawing lines from its top corners to the top corners of the adjacent rectangles. The x-coordin...

Question 9

Q3: Ogives can be helpful in locating graphically the (i) mode (ii) mean (iii) median (iv) none of the above

Accepted Answer

The correct answer is (iii) median. Ogives, or cumulative frequency curves, are used to locate the median of a frequency distribution graphically. The median is the value on the x-axis that corresponds to the intersection point of the 'less than' ogive and the 'more than' ogive.

Question 10

Q4: Data represented through arithmetic line graph help in understanding (i) long term trend (ii) cyclicity in data (iii) seasonality in data (iv) all the...

Accepted Answer

The correct answer is (iv) all the above. An arithmetic line graph, also known as a time series graph, plots data over a period of time. This form of representation is very useful for analyzing and understanding various time-related patterns in the data, including the long-term trend, as well as cyc...

Question 11

Q5: Width of bars in a bar diagram need not be equal (True/False).

Accepted Answer

False. For a proper and non-misleading visual comparison, the bars in a bar diagram should be of equal width. The chapter defines a bar diagram as comprising "a group of equispaced and equiwidth rectangular bars". Unequal widths can distort the visual impression of the data.

Question 12

Q6: Width of rectangles in a histogram should essentially be equal (True/False).

Accepted Answer

False. While histograms are often drawn with rectangles of equal width for equal class intervals, it is not an essential condition. Histograms can be constructed for data with unequal class intervals. In such cases, the height of the rectangles is adjusted to represent frequency density (class frequ...

Question 13

Q7: Histogram can only be formed with continuous classification of data (True/False).

Accepted Answer

True. A histogram is used to represent a continuous frequency distribution. The rectangles in a histogram are drawn adjacent to each other without any gaps, which signifies the continuous nature of the variable. If the original data is not in a continuous classification, it must be converted into on...

Question 14

Q8: Histogram and column diagram are the same method of presentation of data. (True/False)

Accepted Answer

False. A column diagram is another name for a vertical bar diagram. A histogram and a bar/column diagram are different.     A histogram represents continuous data, has no gaps between rectangles, and is a two-dimensional diagram where area represents frequency.    A bar diagram represents discrete d...

Question 15

Q9: Mode of a frequency distribution can be known graphically with the help of histogram. (True/False)

Accepted Answer

True. The mode can be located graphically using a histogram. The process involves identifying the tallest bar (the modal class) and drawing lines from its top corners to the top corners of the adjacent bars. The x-coordinate of the point where these two lines intersect gives the modal value.

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

NCERT Solutions