English

Draw an Ogive for the Following : Class Interval 0-10 10-20 20-30 30-40 40-50 Frequency 8 12 10 14 6

Advertisements
Advertisements

Question

Draw an ogive for the following :

Class Interval 0-10 10-20 20-30 30-40 40-50
Frequency 8 12 10 14 6
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. Plot the points with coordinates having abscissae as actual limits and ordinates as the cumulative frequencies . In this case (10,8),(20,20),(30,30),(40,44),(50,50).

4. Join the points plotted by a smooth curve .

less than cumulative frequency
10 8
20 20
30 30
40 44
50 50

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 4.01

RELATED QUESTIONS

The weight of 50 workers is given below:

Weight in Kg 50-60 60-70 70-80 80-90 90-100 100-110 110-120
No. of Workers 4 7 11 14 6 5 3

Draw an ogive of the given distribution using a graph sheet. Take 2 cm = 10 kg on one axis and 2 cm = 5 workers along the other axis. Use a graph to estimate the following:

1) The upper and lower quartiles.

2) If weighing 95 kg and above is considered overweight, find the number of workers who are overweight.


Draw an ogive by less than method for the following data:

No. of rooms: 1 2 3 4 5 6 7 8 9 10
No. of houses: 4 9 22 28 24 12 8 6 5 2

 


Draw a cumulative frequency curve (ogive) for the following distributions:

Class Interval 10 – 15 15 – 20 20 – 25 25 – 30 30 – 35 35 – 40
Frequency 10 15 17 12 10 8

Draw an ogive for the following distributions: 

Marks obtained less than 10 less than 20 less than 30 less than 40 less than 50
No. of students 8 25 38 50 67 

Construct a frequency distribution table for the following distributions:

Marks (less than) 0 10 20 30 40 50 60 70 80 90 100
Cumulative frequency 0 7 28 54 71 84 105 147 180 196 200

Draw an ogive for the following :

Marks obtained More than 10 More than 20 More than 30 More than 40 More than 50
No. of students 8 25 38 50 67

The marks obtained by 100 students of a class in an examination are given below.

Marks No. of students 
0-5 2
5-10 5
10-15 6
15-20 8
20-25 10
25-30 25
30-35 20
35-40 18
40-45 4
45-50 2

Draw 'a less than' type cumulative frequency curves (orgive). Hence find median


Find the width of class 35 - 45.


The following is the frequency distribution with unknown frequencies : 

Class 60-70 70-80 80-90 90-100 Total
frequency `"a"/2` `(3"a")/2` 2a a 50

Find the value of a, hence find the frequencies. Draw a histogram and frequency polygon on the same coordinate system.


The frequency distribution of scores obtained by 230 candidates in a medical entrance test is as ahead:

Cost of living Index Number of Months
400 - 450 20
450 - 500 35
500 - 550 40
550 - 600 32
600 - 650 24
650 - 700 27
700 - 750 18
750 - 800 34
Total  230

Draw a cummulative polygon (ogive) to represent the above data.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×