मराठी

The Marks Scored by 750 Students in an Examination Are Given in the Form of a Frequency Distribution Table: Prepare a Cumulative Frequency Table by Less than Method and Draw an Ogive. - Mathematics

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प्रश्न

The marks scored by 750 students in an examination are given in the form of a frequency distribution table:

Marks No. of students
600 - 640 16
640 - 680 45
680 - 720 156
720 - 760 284
760 - 800 172
800 - 840 59
840 - 880 18

उत्तर

Marks No. of students Marks less then Cumulative frequency Suitable Points
600-640 16 640 16 (640,16)
640-680 45 680 61 (680,61)
680-720 156 720 217 ( 720, 217)
720-760 284 470 501 (760, 501)
760-800 172 800 673 ( 800, 673)
800-840 59 840 732 ( 840,732)
840-880 18 880 750 ( 880,750)

Now, we draw the less than ogive with suitable points.

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पाठ 15: Statistics - Exercise 15.6 [पृष्ठ ६२]

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आरडी शर्मा Mathematics [English] Class 10
पाठ 15 Statistics
Exercise 15.6 | Q 2 | पृष्ठ ६२

संबंधित प्रश्‍न

Draw an ogive to represent the following frequency distribution:

Class-interval: 0 - 4 5 - 9 10 - 14 15 - 19 20 - 24
Frequency: 2 6 10 5 3

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 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

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

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

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.


Using a graph paper, drawn an Ogive for the following distribution which shows a record of the weight in kilograms of 200 students.

Weight Frequency
40 - 45 5
45 - 50 17
50 - 55 22
55 - 60 45
60 - 65 51
65 - 70 31
70 - 75 20
75 - 80 9

Use your ogive to estimate the following:
(i) The percentage of students weighing 55kg or more.
(ii) The weight above which the heaviest 30% of the students fall.
(iii) The number of students who are:
(1) under-weight and
(2) over-weight, if 55·70 kg is considered as standard weight.


Cumulative frequency curve is also called ______.


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