English

Draw an Ogive for the Following : Age in Years Less than 10 Less than 20 Less than 30 Less than 40 Less than 50 No. of People 0 17 42 67 100 - Mathematics

Advertisements
Advertisements

Question

Draw an ogive for the following :

Age in years Less than 10  Less than 20 Less than 30 Less than 40 Less than 50
No. of people 0 17 42 67 100
Sum
Advertisements

Solution

Steps : 

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

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 frequecies . In this case (10,0),(20,17),(30,42),(40,67),(50,100).

4. Join the points plotted by a smooth curve .

Age less than Cumulative Frequency
10 0
20 17
30 42
40 67
50 100

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 4.05

RELATED QUESTIONS

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 annual profits earned by 30 shops of a shopping complex in a locality give rise to the following distribution:
 

Profit (in lakhs in Rs) Number of shops (frequency)
More than or equal to 5
More than or equal to 10
More than or equal to 15
More than or equal to 20
More than or equal to 25
More than or equal to 30
More than or equal to 35
30
28
16
14
10
7
3


Draw both ogives for the above data and hence obtain the median.


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.


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

Class Interval  10 – 19 20 – 29 30 – 39 40 – 49 50 – 59
Frequency 23 16 15 20 12

Draw an ogive for the following distributions: 

Age in years (less than) 10 20 30 40 50 60 70
Cumulative frequency 0 17 32 37 53 58 65

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 100-150 150-200 200-250 250-300 300-350 350-400
Frequency 10 13 17 12 10 8

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

Use graph paper for this question. The following table shows the weights in gm of a sample of 100 potatoes taken from a large consignment:

Weight (gms) Frequency
50 - 60 8
60 - 70 10
70 - 80 12
80 - 90 16
90 - 100 18
100 - 110 14
110 - 120 12
120 - 130 10

(i) Calculate the cumulative frequencies.
(ii) Draw the cumulative frequency curve and form it determine the median weights of the potatoes.


Cumulative frequency curve is also called ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×