English

Construct a Frequency Polygon Without Using a Histogram for the Following Frequency Distribution : Class Mark 10 15 20 25 30 35 40 Frequency 4 20 40 45 30 25 5 - Mathematics

Advertisements
Advertisements

Question

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

Class Mark 10 15 20 25 30 35 40
Frequency 4 20 40 45 30 25 5
Sum
Advertisements

Solution

Steps : 

1. On the x-axis , take 1 cm as 5 units and plot class interval.

2. On the y-axis , take 1 cm as 5 units and plot frequency.

3. Mark the given data on the graph. (10,4),(15,20),(20,40),(25,45),(30,30),(35,25),(40,5)

4. Mark two more midpoints of zero frequency on x-axis at the start and at the end.

5. Now connect the points using staright lines.

Class Mark Frequency
10 4
15 20
20 40
25 45
30 30
35 25
40 5

shaalaa.com
  Is there an error in this question or solution?
Chapter 23: Graphical Representations - Exercise

APPEARS IN

Frank Mathematics - Part 2 [English] Class 10 ICSE
Chapter 23 Graphical Representations
Exercise | Q 3.01

RELATED QUESTIONS

The marks scored by students in Mathematics in a certain Examination are given below:

Marks Scored Number of Students
0 — 20 3
20 — 40 8
40 — 60 19
60 — 80 18
80 — 100 6

Draw histogram for the above data.


Draw histogram for the following frequency distributions:

Class Marks  16 24 32 40 48 56 64
Frequency  8 12 15 18 25 19 10

Draw a histogram for the daily earnings of 30 drug stores in the following table:

Daily earnings (in Rs): 450−500 500−550 550−600 600−650 650−700
Numbers of stores: 16 10 7 3 1

Below is the histogram depicting marks obtained by 43 students of a class:
(i) Write the number of students getting the highest marks.
(ii) What is the class size?


Construct histograms for following frequency distribution: 

Class Mark  15 25 35 45 50 55 60
Frenuencv  6 12 15 18 25 14 10

Draw histogram and hence the frequency polygon for the following frequency distribution:

Rainfall (in cm) No. of years
20-25 2
25-30 5
30-35 8
35-40 12
40-45 10
45-50 7

Identify the following data can be represented in a histogram?

Production of cycles in different years


Histogram shows the number of people owning the different number of books. Answer the question based on it.


The total number of people surveyed is ______.


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

Draw a histogram for the following data.

Class interval 10 – 15 15 – 20 20 – 25 25 – 30 30 – 35 35 – 40
Frequency 30 98 80 58 29 50

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×