Finding Median from Ogive
Finding Median from Ogive
The term ogive is pronounced as ojeev and is derived from the word ogee. An ogee is a shape consisting of a concave arc flowing into a convex arc, so forming as S-shaped curve with veritcal ends. In architecture, the ogee shape is one of the characteristics of the 14th and15th century Gothic styles.
Let us consider the cumulative frequency distribution given in table
Recall that the values 10, 20, 30,.....,100 are the upper limits of the respective class intervals. To represent the data in the table graphically, we mark the upper limits of the class intervals on the horizontal axis (x-axis) and their corresonding cumulative frequencies on the vertical axis (y-axis), choosing a convenient scale. The scale may not be the same on both the axis. Let us now plot the points corresponding to the ordered pairs given by ( upper limit, corresponding cumulative frequency), i.e., (10,5), (20,8),(30,12),(40,15),(50,18), (60,22),(70,29),(80,38),(90,45),(100,53) on a graph paper and join them by a free hand smooth curve. The curve we get is called a cumulative frequency curve, or an ogive ( of the less than type).(see fig.)
[fig. required (pg. no. 290)]
On an ogive, a point whose Y- coordinate is half of the total observation has its X -coordinate equal to _____________ of the data. | |||
| Right Option : B | |||
| View Explanation | |||
Two ogives, for the same data intersect at a point, then Y- coordinate of that point represents __________________. | |||
| Right Option : D | |||
| View Explanation | |||
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