मराठी

The Frequency Distribution of Scores Obtained by 230 Candidates in a Medical Entrance Test is as Ahead:Draw a Cummulative Polygon (Ogive) to Represent the Above Data.

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प्रश्न

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.

आलेख
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उत्तर

The cummulative frequency table for the given frequency table as given below:

Interval
(Score)
Frequency Cummulative Frequency
400 - 450 20 20 
450 - 500 35 55
500 - 550 40 95
550 - 600 32 127
600 - 650 24 151
650 - 700 27 178
700 - 750 18 196
750 - 800 34 230

Ogive representing the scores obtained by 230 candidates in a medical entrance test.

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संबंधित प्रश्‍न

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.

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

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.

 


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 

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

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

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


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