More Than Frequency Distribution
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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