Draw an ogive for the following frequency distribution :
Class-intervals Frequency
1 - 10 3
11 - 20 5
21 - 30 8
31 - 40 7
41 - 50 6
51 - 60 2
Measures of Central Tendency
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Question

Draw an ogive for the following frequency distribution : Class-intervals | Frequency ------- | ------- 1 - 10 | 3 11 - 20 | 5 21 - 30 | 8 31 - 40 | 7 41 - 50 | 6 51 - 60 | 2

KnowledgeBoat · Accepted Answer

To draw an ogive : 1. The given frequency distribution is discontinuous, to convert it into continuous distribution, Adjustment factor = (Lower limit of one class - Upper limit of previous class) / 2 The cumulative frequency table for the given data is : Classes before adjustment | Classes after adjustment | Frequency | Cumulative frequency ------- | ------- | ------- | -------- 1 - 10 | 0.5 - 10.5 | 3 | 3 | 11 - 20 | 10.5 - 20.5 | 5 | 8 21 - 30 | 20.5 - 30.5 | 8 | 16 31 - 40 | 30.5 - 40.5 | 7 | 23 41 - 50 | 40.5 - 50.5 | 6 | 29 51 - 60 | 50.5 - 60.5 | 2 | 31 2. Since, the scale on x-axis starts at 0.5, a kink is shown near the origin on x-axis to indicate that the graph is drawn to scale beginning at 0.5 3. Take 2 cm along x-axis = 10 4. Take 1 cm along y-axis = 5  5. Plot the points (10.5, 3), (20.5, 8), (30.5, 16), (40.5, 23), (50.5, 29), (60.5, 31) representing upper class limits and the respective cumulative frequencies. Also plot the point representing lower limit of the first class i.e. 0.5 - 10.5 6. Join these points by a freehand drawing. The required ogive is shown in figure above.

Marks obtained	No. of students
24 - 29	1
29 - 34	2
34 - 39	5
39 - 44	6
44 - 49	4
49 - 54	3
54 - 59	2

Height (in cm)	No. of students
150 - 160	8
160 - 170	3
170 - 180	4
180 - 190	10
190 - 200	2

Mathematics

Draw an ogive for the following frequency distribution :
Class-intervals Frequency
1 - 10 3
11 - 20 5
21 - 30 8
31 - 40 7
41 - 50 6
51 - 60 2

Measures of Central Tendency

Related Questions

Draw a cumulative frequency curve for the following data :
Marks obtained No. of students
24 - 29 1
29 - 34 2
34 - 39 5
39 - 44 6
44 - 49 4
49 - 54 3
54 - 59 2

Draw an ogive for the following frequency distribution :
Height (in cm) No. of students
150 - 160 8
160 - 170 3
170 - 180 4
180 - 190 10
190 - 200 2

Mathematics

Draw an ogive for the following frequency distribution :Class-intervalsFrequency1 - 10311 - 20521 - 30831 - 40741 - 50651 - 602

Measures of Central Tendency

Related Questions

Draw a cumulative frequency curve for the following data :Marks obtainedNo. of students24 - 29129 - 34234 - 39539 - 44644 - 49449 - 54354 - 592

Draw an ogive for the following frequency distribution :Height (in cm)No. of students150 - 1608160 - 1703170 - 1804180 - 19010190 - 2002

Draw an ogive for the following frequency distribution :
Class-intervals Frequency
1 - 10 3
11 - 20 5
21 - 30 8
31 - 40 7
41 - 50 6
51 - 60 2

Draw a cumulative frequency curve for the following data :
Marks obtained No. of students
24 - 29 1
29 - 34 2
34 - 39 5
39 - 44 6
44 - 49 4
49 - 54 3
54 - 59 2

Draw an ogive for the following frequency distribution :
Height (in cm) No. of students
150 - 160 8
160 - 170 3
170 - 180 4
180 - 190 10
190 - 200 2