Advertisements
Advertisements
Question
The production of saleable steel in some of the steel plants our country during 1999 is given below:
Plant | Bhilai | Durgapur | Rourkela | Bokaro |
Production (In thousand tonnes) |
160 | 80 | 200 | 150 |
Construct a bar graph to represent the above data on a graph paper by using the scale 1 big divisions = 20 thousand tonnes.
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 plants and the production in thousand tonnes respectively. We have to draw 4 bars of different lengths given in the table.
The scale 1 big divisions must be 20 thousand tonnes. So, first find the heights of the bars corresponding to different plants. After that, we follow the well known procedure.
The heights of the different bars are:
1. The height of the bar corresponding to Bhilai is
2. The height of the bar corresponding to Durgapur is
3. The height of the bar corresponding to Rourkela is
4. The height of the bar corresponding to Bokaro is
At first we mark 4 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 productions.
The vertical bar graph of the given data is following:
Note that the one big division in the vertical axis is equivalent to 20 thousand tonnes.
APPEARS IN
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 | 2 |
- Draw a histogram to represent the given data. [Hint: First make the class intervals continuous]
- Is there any other suitable graphical representation for the same data?
- Is it correct to conclude that the maximum number of leaves are 153 mm long? Why?
The runs scored by two teams A and B on the first 60 balls in a cricket match are given below:
Number of balls | Team A | Team B |
1 - 6 | 2 | 5 |
7 - 12 | 1 | 6 |
13 - 18 | 8 | 2 |
19 - 24 | 9 | 10 |
25 - 30 | 4 | 5 |
31 - 36 | 5 | 6 |
37 - 42 | 6 | 3 |
43 - 48 | 10 | 4 |
49 - 54 | 6 | 8 |
55 - 60 | 2 | 10 |
Represent the data of both the teams on the same graph by frequency polygons.
[Hint: First make the class intervals continuous.]
Given below (Fig. below) is the bar graph indicating the marks obtained out of 50 in mathematics paper by 100 students. Read the bar graph and answer the following questions:
(i) It is decided to distribute work books on mathematics to the students obtaining less than 20 marks, giving one workbook to each of such students. If a work book
costs Rs 5, what sum is required to buy the work books?
(ii) Every student belonging to the highest mark group is entitled to get a prize of Rs. 10. How much amount of money is required for distributing the prize money?
(iii) Every student belonging to the lowest mark—group has to solve 5 problems per day. How many problems, in all, will be solved by the students of this group per day?
(iv) State whether true or false.
a. 17% students have obtained marks ranging from 40 to 49.
b. 59 students have obtained marks ranging from 10 to 29.
(v) What is the number of students getting less than 20 marks?
(vi) What is the number of students getting more than 29 marks?
(vii) What is the number of students getting marks between 9 and 40?
(viii) What is the number of students belonging to the highest mark group?
(ix) What is the number of students obtaining more than 19 marks?
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 following data gives the production of foodgrains (in thousand tonnes) for some years:
Year | 1995 | 1996 | 1997 | 1998 | 1999 | 2000 |
Production (in thousand tonnes |
120 | 150 | 140 | 180 | 170 | 190 |
Represent the above with the help of a bar graph.
Construct a combined histogram and frequency polygon for the following frequency distribution:
Class-Intervals | 10 - 20 | 20 - 30 | 30 - 40 | 40 - 50 | 50 - 60 |
Frequency | 3 | 5 | 6 | 4 | 2 |
The daily wages in a factory are distributed as follows:
Daily wages (in Rs.) |
125 - 175 |
175 - 225 |
225 - 275 |
275 - 325 |
325 - 375 |
Number of workers |
4 |
20 |
22 |
10 |
6 |
Draw a frequency polygon for this distribution.
A hundred students from a certain locality use different modes of travelling to school as given below. Draw a bar graph.
Bus | Car | Rickshaw | Bicycle | Walk |
32 | 16 | 24 | 20 | 8 |
The percentage of marks obtained, in different subjects by Ashok Sharma (in an examination) is given below. Draw a bar graph to represent it.
English | Hindi | Maths | Science | Social Studies |
85 | 60 | 35 | 50 | 70 |
Harmeet earns Rs.50 000 per month. He a budget for his salary as per the following table:
Expenses | Accommodation | Food | Clothing | Travel | Miscellaneous | saving |
Amount (Rs.) | 12000 | 9000 | 2500 | 7500 | 4000 | 15000 |
Draw a bar graph for the above data.