Draw an ogive for the following frequency distribution :
Class - interval Frequency
10 - 19 21
20 - 29 15
30 - 39 12
40 - 49 19
50 - 59 8
Statistics
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Question

Draw an ogive for the following frequency distribution : Class - interval | Frequency ---------------- | --------------- 10 - 19 | 21 20 - 29 | 15 30 - 39 | 12 40 - 49 | 19 50 - 59 | 8

KnowledgeBoat · Accepted Answer

The above frequency distribution is discontinuous, to convert it into continuous frequency distribution, Subtract the adjustment factor (0.5) from all the lower limits and add the adjustment factor (0.5) to all the upper limits. Continuous frequency distribution for the given data is : Classes before adjustment | Classes after adjustment | Frequency | Cumulative frequency ------------------------- | ------------------------ | --------- | ----------- 10 - 19 | 9.5 - 19.5 | 21 | 21 20 - 29 | 19.5 - 29.5 | 15 | 36 (21 + 15) 30 - 39 | 29.5 - 39.5 | 12 | 48 (36 + 12) 40 - 49 | 39.5 - 49.5 | 19 | 67 (48 + 19) 50 - 59 | 49.5 - 59.5 | 8 | 75 (67 + 8) Steps of construction : 1. Since, the scale on x-axis starts at 9.5, a break (kink) is shown near the origin on x-axis to indicate that the graph is drawn to scale beginning at 9.5. 2. Take 2 cm along x-axis = 10 units 3. Take 1 cm along y-axis = 10 units 4. Ogive always starts from a point on x-axis representing the lower limit of the first class. Mark point (9.5, 0). 5. Take upper class limits along x-axis and corresponding cumulative frequencies along y-axis, mark the points (19.5, 21), (29.5, 36), (39.5, 48), (49.5, 67), (59.5, 75). 6. Join the points marked by a free hand curve. The required ogive is shown in the below figure:

Class interval	Frequency
400 - 450	16
450 - 500	25
500 - 550	40
550 - 600	32
600 - 650	18
650 - 700	27
700 - 750	9

Marks obtained	No. of students
Less than 10	8
Less than 20	23
Less than 30	43
Less than 40	50
Less than 50	64

Class - interval	Frequency
1 - 10	4
11 - 20	6
21 - 30	8
31 - 40	11
41 - 50	7
51 - 60	5

Mathematics

Draw an ogive for the following frequency distribution :
Class - interval Frequency
10 - 19 21
20 - 29 15
30 - 39 12
40 - 49 19
50 - 59 8

Statistics

Related Questions

Draw an ogive to represent the following data:
Class interval Frequency
400 - 450 16
450 - 500 25
500 - 550 40
550 - 600 32
600 - 650 18
650 - 700 27
700 - 750 9

Draw an ogive for the following frequency distribution:
Marks obtained No. of students
Less than 10 8
Less than 20 23
Less than 30 43
Less than 40 50
Less than 50 64

Draw an ogive for the following data:
Class - interval Frequency
1 - 10 4
11 - 20 6
21 - 30 8
31 - 40 11
41 - 50 7
51 - 60 5

The difference between the class marks of classes 20 - 25 and 45 - 65 is :
30
32.5
35
37.5

Mathematics

Draw an ogive for the following frequency distribution :Class - intervalFrequency10 - 192120 - 291530 - 391240 - 491950 - 598

Statistics

Related Questions

Draw an ogive to represent the following data:Class intervalFrequency400 - 45016450 - 50025500 - 55040550 - 60032600 - 65018650 - 70027700 - 7509

Draw an ogive for the following frequency distribution:Marks obtainedNo. of studentsLess than 108Less than 2023Less than 3043Less than 4050Less than 5064

Draw an ogive for the following data:Class - intervalFrequency1 - 10411 - 20621 - 30831 - 401141 - 50751 - 605

The difference between the class marks of classes 20 - 25 and 45 - 65 is :3032.53537.5

Draw an ogive for the following frequency distribution :
Class - interval Frequency
10 - 19 21
20 - 29 15
30 - 39 12
40 - 49 19
50 - 59 8

Draw an ogive to represent the following data:
Class interval Frequency
400 - 450 16
450 - 500 25
500 - 550 40
550 - 600 32
600 - 650 18
650 - 700 27
700 - 750 9

Draw an ogive for the following frequency distribution:
Marks obtained No. of students
Less than 10 8
Less than 20 23
Less than 30 43
Less than 40 50
Less than 50 64

Draw an ogive for the following data:
Class - interval Frequency
1 - 10 4
11 - 20 6
21 - 30 8
31 - 40 11
41 - 50 7
51 - 60 5

The difference between the class marks of classes 20 - 25 and 45 - 65 is :
30
32.5
35
37.5