English

The Following Table Gives the Route Length (In Thousand Kilometres) of the Indian Railways in Some of the Years: Represent the Above Data with the Help of a Bar Graph. - Mathematics

Advertisements
Advertisements

Question

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.

Answer in Brief
Advertisements

Solution

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 route lengths in thousand km respectively. We have to draw 5 bars of different lengths 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 route lengths.

The vertical bar graph of the given data is following:

 

shaalaa.com
  Is there an error in this question or solution?
Chapter 23: Graphical Representation of Statistical Data - Exercise 23.2 [Page 26]

APPEARS IN

RD Sharma Mathematics [English] Class 9
Chapter 23 Graphical Representation of Statistical Data
Exercise 23.2 | Q 6 | Page 26

RELATED QUESTIONS

The length of 40 leaves of a plant are measured correct to one millimetre, and the obtained data is represented in the following table:-

Length (in mm) Number of leaves
118 - 126 3
127 - 135 5
136 - 144 9
145 - 153 12
154 - 162 5
163 - 171 4
172 - 180
  1. Draw a histogram to represent the given data. [Hint: First make the class intervals continuous]
  2. Is there any other suitable graphical representation for the same data?
  3. Is it correct to conclude that the maximum number of leaves are 153 mm long? Why?

Read the bar graph given in Fig. 23.17 and answer the following questions:
(i) What information is given by the bar graph?
(ii) What was the crop-production of rice in 1970 - 71?
(iii) What is the difference between the maximum and minimum production of rice?

 


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

The following table shows the interest paid by a company (in lakhs):

Year 1995-96 1996-97 1997-98 1998-99 1999-2000
Interest (in lakhs of rupees 20 25 15 18 30

Draw the bar graph to represent the above information.


The production of oil (in lakh tonnes) in some of the refineries in India during 1982 was given below:

Refinery: Barauni Koyali Mathura Mumbai Florida
Production of oil
(in lakh tonnes)
30 70 40 45 25

Construct a bar graph to represent the above data so that the bars are drawn horizontally.


The following is the distribution of total household expenditure (in Rs.) of manual worker in a city:

Expenditure
(in Rs):
100-150 150-200 200-250 250-300 300-350 350-400 400-450 450-500
No. of manual workers: 25 40 33 28 30 22 16 8

Draw a histogram and a frequency polygon representing the above data.


The monthly profits (in Rs.) of 100 shops are distributed as follows:

Profits per shop: 0-50 50-100 100-50 150-200 200-250 250-300
No. shops: 12 18 27 20 17 6

Draw a histogram for the data and show the frequency polygon for it.


A histogram is a pictorial representation of the grouped data in which class intervals and frequency are respectively taken along


Is it correct to say that in a histogram, the area of each rectangle is proportional to the class size of the corresponding class interval? If not, correct the statement.


The following table gives the frequencies of most commonly used letters a, e, i, o, r, t, u from a page of a book:

Letters a e i o r t u
Frequency 75 125 80 70 80 95 75

Represent the information above by a bar graph.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×