More Than Frequency Distribution


 
 
Concept Explanation
 

 More Than Cumulative Frequency Table

Cumulative frequency curve or an ogive is the graphical representation of a cumulative frequency distribution. We can construct an ogive by using More Than Method

More Than Method : - Following are the steps for constructing an ogive.

(a) Construct a more than type frequency distribution table.

(b) Mark the lower class limit on X- axis

(c) Mark the corresponding cumulative frequency on Y-axis.

(d) Plot the points and join them by smooth free hand curve.

The obtained curve is thew More Than Type Ogive.

Illustration : The frequency distribution of scores obtained by 230 candidates in a medical entrance test is as follows :

Scores 400-450 450-500 500-550 550-600 600-650 650-700 700-750 750-800
No. of Candidate 20 35 40 32 24 27 18 34

Draw cumulative frequency curve or ogive by more than method.

Solution : - First convert the given frequency distribution table to More Than Type frequency distribution table.

Scores No. of Candidates
More than or equal to 400 230
More than or equal to  450 230-20=210
More than or equal to  500 210-35=175
More than or equal to 550 175-40=135
More than or equal to  600 135-32=103
More than or equal to 650 103-24=79
More than or equal to 700 79-27=52
More than or equal to 750 52-18=34

Now mark the lower limits along X-axis and cumulative frequency along Y-axis, and plot the points (400,230), (450,210), (500,175), (550,135), (600,103), (650,79), (700,52), (750,34).

Join the points listed above by smooth free hand curve to obtain the more than type ogive.

 
 


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