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# Ogive and Types of Ogive Assignment Help

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Frequency Distribution Graphical Representation - Ogive and Types of Ogive

**Statistics >> Ogive**

An ogive is a graph of cumulative frequencies of a frequency distribution of continuous series. In drawing an ogive the class boundaries are plotted on the x-axis and the cumulative frequencies on the y-axis and the resulting curves are known as gives.

**Ogives are of two types**

(i) Less Than Ogive: Here' less than' cumulative frequencies are plotted against upper class boundaries of the respective class intervals.

(ii) More Than Ogive : Here 'greater than' cumulative frequencies are plotted against the lower class boundaries.

Less than ogive is an increasing curve and more than ogive is a decreasing curve.

The foot of the perpendicular from the intersection of two ogives gives the value of median.

**Uses of-Ogives **

Ogives are useful for locating partition values viz. Median, Quartiles, Deciles, Percentiles etc. They are also useful to determine the number of proportion of items above or below a particular value. With the help of ogive we can compare more than one distributions.

**Location of partition values from ogives**** **

Various partition values can be located graphically with the help of ogives. First of all, we draw an ogive by plotting the given data on a graph. For finding positional values, we mark the position of frequency on y-axis and draw a line from this mark till it intersects with the ogive. From this point of intersection we draw a vertical line meeting x-axis. The point where the like touches the x-axis is the required positional value.

**Example 7: Draw two gives from the following data.**

**Class**

**Frequency**** **

**20-25**

**25-30**

**30-35**

**35-40**

**40-45**

**45 50**

**50-55**

**55-60**

**6 **

**9 **

**13 **

**23 **

**19 **

**15 **

**9 **

**6 **

** **

From your ogive find median, first quartile, first decile and 60th percentile.

Solution: First we shall calculate cumulative frequency

**Class**

**Frequency**

**Cumulative Frequency **

** **

** **

**Less than**

**More than **

20-25

25-30

30-35

35-40

40-45

45-50

50-55

55-60

6

9

13

23

19

15

9

6

6

15

28

51

70

85

94

100

100

94

85

72

49

30

15

6

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**Statistics >> Ogive**

**Ogives are of two types**

**Uses of-Ogives**

**Location of partition values from ogives**

**Example 7: Draw two gives from the following data.**

**Class**

**Frequency**** **

**20-25**

**25-30**

**30-35**

**35-40**

**40-45**

**45 50**

**50-55**

**55-60**

**6 **

**9 **

**13 **

**23 **

**19 **

**15 **

**9 **

**6 **

**Class**

**Frequency**

**Cumulative Frequency **

** **

** **

**Less than**

**More than **

20-25

25-30

30-35

35-40

40-45

45-50

50-55

55-60

6

9

13

23

19

15

9

6

6

15

28

51

70

85

94

100

100

94

85

72

49

30

15

6

**Statistics Assignment Help - Statistics Homework Help, Live Tutor 24x7**