English

Show the Following Data by a Frequency Polygon. - Algebra

Advertisements
Advertisements

Question

Show the following data by a frequency polygon.
Electricity bill (₹) 0 - 200 200 - 400 400 - 600 600 - 800 800 - 1000
Families 240 300 450 350 160
Chart
Graph

Solution

Consider the following table.

Class
(Electricity bill in Rupees)
Class Mark Frequency 
(Number of families)
0 - 200 100 240
200 - 400 300 300
400 - 600 500 450
600 - 800 700 350
800 - 1000 900 160

The frequency polygon using the class mark and frequency given in the above table as

shaalaa.com
  Is there an error in this question or solution?
Chapter 6: Statistics - Practice Set 6.5 [Page 157]

APPEARS IN

RELATED QUESTIONS

Draw histogram for the following frequency distributions: 

Class Interval  0 – 10 10 – 20 20 – 30 30 – 40 40 – 50 50 – 60
Frequency  12 20 26 18 10 6

Observe the following frequency polygon and write the answers of the questions below it.

  1. Which class has the maximum number of students?
  2. Write the classes having zero frequency.
  3. What is the class-mark of the class, having frequency of 50 students?
  4. Write the lower and upper class limits of the class whose class mark is 85.
  5. How many students are in the class 80-90?

Draw a histogram of the following data:

Class interval: 10−15 15−20 20−25 25−30 30−35 34−40
Frequency: 30 98 80 58 29 50

Number of workshops organized by a school in different areas during the last five years are as follows:

Years No. of workshops
1995−1996 25
1996−1997 30
1997−1998 42
1998−1999 50
1999−2000 65

Draw a histogram representing the above data.


The following histogram shows the frequency distribution f the ages of 22 teachers in a school:

(i) What is the number of eldest and youngest teachers in the school?
(ii) Which age group teachers are more in the school and which least?
(iii) What is the size of the classes?
(iv) What are the class marks of the classes?


The weekly wages (in Rs.) of 30 workers in a factory are given:
830, 835, 890, 810, 835, 836, 869, 845, 898, 890, 820, 860, 832, 833, 855, 845, 804, 808, 812, 840, 885, 835, 835, 836, 878, 840, 868, 890, 806, 840
Mark a frequency table with intervals as 800-810, 810-820 and so on, using tally marks. Also, draw a histogram and answer the following questions:
(i) Which group has the maximum number of workers?
(ii) How many workers earn Rs 850 and more?
(iii) How many workers earn less than Rs 850?


Construct histograms for following frequency distribution: 

Class Interval  110-119 120-129  130-139  140-149  150-159 
Frequency  15 23 30 20 16

Construct a frequency polygon without using a histogram for the following frequency distribution :

Class Interval 10-20 20-40 40-60 60-80 80-100
Frequency 9 17 15 20 14

Draw a histogram for the following frequency distribution.

Use of electricity (Unit)
50 - 70 70 - 90 90 - 110 110 - 130 130 - 150 150 - 170
No. of families 150 400 460 540 600 350

The time taken, in seconds, to solve a problem for each of 25 persons is as follows:

16 20 26 27 28
30 33 37 38 40
42 43 46 46 47
48 49 50 53 58
59 60 64 52 20

(i) Construct a frequency distribution for these data using a class interval of 10 seconds.
(ii) In a school the weekly pocket money of 50 students is as follow's:

Weekly pocket money (₹) No. of student
40 - 50 2
59 - 60 8
60 - 70 12
70 - 80 14
80 - 90 8
90 - 100 6

Draw a histogram and a frequency polygon on the same graph. Find mode from the graph.


In a village, there are 570 people who have cell phones. An NGO survey their cell phone usage. Based on this survey a histogram is drawn

Are people using cell phone for less than 1 hour?


Histogram is a graph of a ________ frequency distribution


Draw a histogram for the given frequency distribution

Age 41 − 45 46 − 50 51 − 55 56 − 60 61 − 65 66 − 70 71 − 75
Frequency 4 9 17 25 15 8 2

Represent the following data by histogram:

Price of Sugar (per kg in ₹) Number of Weeks
18 – 20 4
20 – 22 8
22 – 24 22
24 – 26 12
26 – 28 6
28 – 30 8

Try yourself

  • Next time when you watch your favourite TV programme, count the number of advertisements during each break. Use tally marks. Put a dot below the tally when you find children in any advertisement.
  • Compare with your friends. Do you get different answers?

In a histogram ______ are drawn with width equal to a class interval without leaving any gap in between.


The following pictorial representation of data is a histogram.


The top speeds of thirty different land animals have been organised into a frequency table. Draw a histogram for the given data.

Maximum Speed (km/h) Frequency
10 – 20 5
20 – 30 5
30 – 40 10
40 – 50 8
50 – 60 0
60 – 70 2

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×