English

Draw an Ogive for the Following : Class Interval 100-150 150-200 200-250 250-300 300-350 350-400 Frequency 10 13 17 12 10 8

Advertisements
Advertisements

Question

Draw an ogive for the following :

Class Interval 100-150 150-200 200-250 250-300 300-350 350-400
Frequency 10 13 17 12 10 8
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 (150,10),(200,23),(250,40)(300,52)(350,62),(400,70).

4. Join the points plotted by a smooth curve.

less than Cumulative Frequency
150 10
200 23
250 40
300 52
350 62
400 70

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 4.02

RELATED QUESTIONS

The daily wages of 80 workers in a project are given below.

Wages
(in Rs.)
400-450 450-500 500-550 550-600 600-650 650-700 700-750
No. of
workers
2 6 12 18 24 13 5

Use a graph paper to draw an ogive for the above distribution. (Use a scale of 2 cm = Rs. 50 on x-axis and 2 cm = 10 workers on y-axis). Use your ogive to estimate:

  1. the median wage of the workers.
  2. the lower quartile wage of workers.
  3. the numbers of workers who earn more than Rs. 625 daily.

The marks obtained by 100 students in a Mathematics test are given below:

Marks 0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80 80-90 90-100
No. of
students
3 7 12 17 23 14 9 6 5 4

Draw an ogive for the given distribution on a graph sheet.

Use a scale of 2 cm = 10 units on both axes.

Use the ogive to estimate the:

1) Median.

2) Lower quartile.

3) A number of students who obtained more than 85% marks in the test.

4) A number of students who did not pass in the test if the pass percentage was 35.


The following table gives the height of trees:
 

Height No. of trees
Less than 7
Less than 14
Less than 21
Less than 28
Less than 35
Less than 42
Less than 49
Less than 56
26
57
92
134
216
287
341
360


Draw 'less than' ogive and 'more than' ogive.

 


The following table gives production yield per hectare of wheat of 100 farms of a village:

Production yield in kg per hectare: 50 - 55 55 - 60 60 - 65 65 - 70 70 - 75 75 - 80
Number of farms: 2 8 12 24 38 16

Draw ‘less than’ ogive and ‘more than’ ogive.


Construct a frequency distribution table for the following distributions:

Marks (more than) 0 10 20 30 40 50 60 70 80 90 100
Cumulative frequency 100 87 65 55 42 36 31 21 18 7 0

Find the correct answer from the alternatives given.

Cumulative frequencies in a grouped frequency table are useful to find ______.


Draw an ogive for the following :

Class Interval 0-10 10-20 20-30 30-40 40-50
Frequency 8 12 10 14 6

Draw an ogive for the following :

Class Interval 10-19 20-29 30-39 40-49 50-59
Frequency 28 23 15 20 14

Draw an ogive for the following:

Marks obtained Less than 10 Less than 20 Less than 30 Less than 40 Less than 50
No. of students 8 22 48 60 75

Draw an ogive for the following :

Marks (More than) 0 10 20 30 40 50 60 70 80 90 100
Cumulative Frequency 100 87 65 55 42 36 31 21 18 7 0

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×