Draw a cumulative frequency curve (ogive) for the following distributions :
Class interval Frequency
10 - 19 23
20 - 29 16
30 - 39 15
40 - 49 20
50 - 59 12
Statistics
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Question

Draw a cumulative frequency curve (ogive) for the following distributions : Class interval | Frequency ------- | --------- 10 - 19 | 23 20 - 29 | 16 30 - 39 | 15 40 - 49 | 20 50 - 59 | 12

KnowledgeBoat · Accepted Answer

The above distribution is discontinuous converting into continuous distribution, we get : Adjustment factor = (Lower limit of one class - Upper limit of previous class) / 2 = = 0.5 Subtract the adjustment factor (0.5) from all the lower limits and add the adjustment factor (0.5) to all the upper limits. Classes before adjustment | Classes after adjustment | Frequency | Cumulative frequency --------- | --------- | ----------- | -------- 10 - 19 | 9.5 - 19.5 | 23 | 23 20 - 29 | 19.5 - 29.5 | 16 | 39 (23 + 16) 30 - 39 | 29.5 - 39.5 | 15 | 54 (39 + 15) 40 - 49 | 39.5 - 49.5 | 20 | 74 (54 + 20) 50 - 59 | 49.5 - 59.5 | 12 | 86 (74 + 12) Steps of construction of ogive : 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 = 10 units along x-axis. 3. Take 1 cm = 10 units along y-axis. 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, 23), (29.5, 39), (39.5, 54), (49.5, 74) and (59.5, 86). 6. Join the points marked by a free hand curve. The required ogive is shown in the below figure:

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

Class Interval	Frequency
10 - 15	10
15 - 20	15
20 - 25	17
25 - 30	12
30 - 35	10
35 - 40	8

Class mark	Frequency
16	8
24	12
32	15
40	18
48	25
56	19
64	10

Marks obtained	No. of students
less than 10	8
less than 20	25
less than 30	38
less than 40	50
less than 50	67

Mathematics

Draw a cumulative frequency curve (ogive) for the following distributions :
Class interval Frequency
10 - 19 23
20 - 29 16
30 - 39 15
40 - 49 20
50 - 59 12

Statistics

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Draw a cumulative frequency curve (ogive) for the following distributions :Class intervalFrequency10 - 192320 - 291630 - 391540 - 492050 - 5912

Statistics

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Draw a cumulative frequency curve (ogive) for the following distributions :
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10 - 15 10
15 - 20 15
20 - 25 17
25 - 30 12
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Draw histograms for the following frequency distributions :
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Draw an ogive for the following distribution :
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