English

The Daily Wages in a Factory Are Distributed as Follows: Draw a Frequency Polygon for this Distribution.

Advertisements
Advertisements

Question

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.

Graph
Advertisements

Solution

Steps:

  1. Draw a histogram for the given data.
  2. Mark the mid-point at the top of each rectangle of the histogram drawn.
  3. Also, mark the mid-point of the immediately lower class-interval and mid-point of the immediately higher class-interval.
  4. Join the consecutive mid-points marked by straight lines to obtain the required frequency polygon.

The required frequency polygon is as follows:

shaalaa.com
  Is there an error in this question or solution?
Chapter 18: Statistics - Exercise 18 (B) [Page 233]

APPEARS IN

Selina Concise Mathematics [English] Class 9 ICSE
Chapter 18 Statistics
Exercise 18 (B) | Q 4 | Page 233

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?

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.]


A random survey of the number of children of various age groups playing in a park was found as follows:

Age (in years) Number of children
1 - 2 5
2 - 3 3
3 - 5 6
5 - 7 12
7 - 10 9
10 - 15 10
15 - 17 4

Draw a histogram to represent the data above.


Read the bar graph given in Fig. 23.22 and answer the following questions:

(i) What information is given by the bar graph?
(ii) Which Doordarshan centre covers maximum area? Also tell the covered area.
(iii) What is the difference between the areas covered by the centres at delhi and Bombay?
(iv) Which Doordarshan centres are in U.P State? What are the areas covered by them?


The investment (in ten crores of rupees) of Life Insurance Corporation of India in different sectors are given below:

Sectors Investment
(in ten crores of rupees)
Central Government Securities
State Government Securities
Securities guaranteed by the Government
Private Sectors
Socially oriented sectors (Plans)
Socially oriented sectors (Non-Plan)
45
11
23
18
46
11

Represent the above data with the help of bar graph.


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.


For the following data, draw a pie graph.

Subject Hindi English Maths Science Social Study
Marks as percent 60 45 42 48 75

The expenditure of a family on different heads in a month is given below:

Head Food Education Clothing House Rent Others Savings
Expenditure
(in Rs)
4000 2500 1000 3500 2500 1500

Draw a bar graph to represent the data above.


Draw a histogram of the following distribution:

Heights (in cm) Number of students
150 – 153 7
153 – 156 8
156 – 159 14
159 – 162 10
162 – 165 6
165 – 168 5

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.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×