मराठी

The Population of Delhi State in Different Census Years is as Given Below: Census Year 1961 1971 1981 1991 2001 Population in Lakhs 30 55 70 110 150 - Mathematics

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प्रश्न

The population of Delhi State in different census years is as given below:
 

Census year 1961 1971 1981 1991 2001
Population in Lakhs 30 55 70 110 150
थोडक्यात उत्तर

उत्तर

While drawing a bar graph, we keep in mind that

1. The width of the bars should be uniform throughout.

2. The gap between any two bars should be uniform throughout.

3. Bars may be either horizontal or vertical.

To represent the given data by a vertical bar graph, we first draw horizontal and vertical axes. Let us consider that the horizontal and vertical axes represent the years and the population in lakhs respectively. We have to draw 5 bars of different heights given in the table.

At first we mark 5 points in the horizontal axis at equal distances and erect rectangles of the same width at these points. The heights of the rectangles are proportional to the population in lakhs.

The vertical bar graph of the given data is following:

Note that each bar is of same width and the gap between them is uniform. Make sure that the width of the bars and the gap between them should not be necessarily same.

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पाठ 23: Graphical Representation of Statistical Data - Exercise 23.1 [पृष्ठ ८]

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आरडी शर्मा Mathematics [English] Class 9
पाठ 23 Graphical Representation of Statistical Data
Exercise 23.1 | Q 3 | पृष्ठ ८

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

The following table gives the distribution of students of two sections according to the mark obtained by them:-

Section A Section B
Marks Frequency Marks Frequency
0 - 10 3 0 - 10 5
10 - 20 9 10 - 20 19
20 - 30 17 20 - 30 15
30 - 40 12 30 - 40 10
40 - 50 9 40 - 50 1

Represent the marks of the students of both the sections on the same graph by two frequency polygons. From the two polygons compare the performance of the two sections.


Read the bar graph given in Fig. 23.20 and answer the fol1owing questions:

(i) What information is given by the bar graph?
(ii) What was the expenditure on health and family planning in the year 1982-83?
(iii) In which year is the increase in expenditure maximum over the expenditure in previous year? What is the maximum increase?


The following table gives the route length (in thousand kilometres) of the Indian Railways in some of the years:

Year 1960-61 1970-71 1980-81 1990-91 2000-2001
Route length
(in thousand km)
56 60 61 74 98

Represent the above data with the help of a bar graph.


The following data gives the amount of loans (in crores of rupees) disbursed by a bank during some years:
 

Year 1992 1993 1994 1995 1996
Loan
(in crores of rupees)
 
28 33 55 55 80

(i) Represent the above data with the help of a bar graph.
(ii) With the help of the bar graph, indicate the year in which amount of loan is not increased over that of the preceding year.


The following data shows the average age of men in various countries in a certain year:

Country India Nepal China Pakistan U.K U.S.A
Average age
(in years)
55 52 60 50 70 75

Represent the above information by a bar graph.


The following data gives the amount of manure (in thousand tonnes) manufactured by a company during some years:

Year 1992 1993 1994 1995 1996 1997
Manure
(in thousand tonnes)
15 35 45 30 40 20

(i) Represent the above data with the help of a bar graph.

(ii) Indicate with the help of the bar graph the year in which the amount of manufactured by the company was maximum.


(iii) Choose the correct alternative:
The consecutive years during which there was maximum decrease in manure production are:
(a) 1994 and 1995
(b) 1992 and 1993
(c) 1996 and 1997
(d) 1995 and 1996


Construct a frequency polygon for the following distribution:

Class-intervals 0-4 4 - 8 8 - 12 12 - 16 16 - 20 20 - 24
Frequency 4 7 10 15 11 6

Students of a small school use different modes of travel to school as shown below:

Mode Bus  Car  Bicycle Auto On foot
No. of students 142 98 50 34 16

Draw a suitable bar graph.


The number of students (boys and girls) of class IX participating in different activities during their annual day function is given below:

Activities Dance Speech Singing Quiz Drama Anchoring
Boys 12 5 4 4 10 2
Girls 10 8 6 3 9 1

Draw a double bar graph for the above data.


The lengths of 62 leaves of a plant are measured in millimetres and the data is represented in the following table:

Length (in mm) Number of leaves
118 – 126 8
127 – 135 10
136 – 144 12
145 – 153 17
154 – 162 7
163 – 171 5
172 – 180 3

Draw a histogram to represent the data above.


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