Question

hiw to draw less than type of ogive​

Answer 1

Answer:

Step-by-step explanation:

How To Construct An Ogive

Cumulative frequencies of a distribution can also be charted on a graph. The curve that results by plotting these is called the Ogive Curve. Since the cumulative frequencies can either be ‘less than’ or ‘more than’ type, there are two type of ogives called ‘less than’ type  and ‘more than’ type ogive. The value of median and other partition values can be located from the ogives. The technique of drawing frequency curves and cumulative frequency curves is more or less the same. The only difference is that in case of simple frequency curves the frequency is plotted against the mid point of a class interval whereas in case of a cumulative frequency curve it is plotted at the upper or limit of a class interval depending upon the manner in which the series has been cumulated.

How to construct an ogive – Types

Less Than Ogive:- The less than cumulative frequencies are in ascending order. The cumulative frequency of each class is plotted against the upper limit of the class interval in this type of ogive and then various points are joined by straight line.

More Than Ogive:- The cumulative frequencies in this type are in the descending order. The cumulative frequency of each class is plotted against the lower limit of the class interval.

Example on How to construct an ogive

Example: Marks obtained by the students of a class in statistics test are :

Marks 0 – 10 10 – 20 20 – 30 30 – 40 40 – 50

Number of students 4 8 18 15 5

Draw ‘less than’ and ‘more than’ ogives.

Solutions. First, the ‘less than and ‘more than’ cumulative frequencies will be calculated and the ogives will be drawn on the basis of these cumulative frequencies.

Calculation Of Cumulative Frequencies

Marks Frequency ‘Less than’ Cumulative Frequency ‘More than’ Cumulative Frequency

0 – 10

10 – 20

20 – 30

30 – 40

40 – 50

4

8

18

15

5

4

12

30

45

50

50

46

38

20

5

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The Two Ogives Are Shown In Below Figure