1. MADE BY- D.PAULWIN X-C

2. GRAPHICAL REPRESENTATION OF CUMULATIVE FREQUENCY DISTRIBUTION. The annual profits earned by 30 shops of a shopping complex in a locality Q. Profits( in lakhs )No. of shops More than or equal to 5 30 More than or equal to 10 28 More than or equal to 15 16 More than or equal to 20 14 More than or equal to 25 10 More than or equal to 30 7 More than or equal to 35 3

3. The smooth curve gives “more than” ogive. Lower limits of profits Cumulative frequency

4. With the same values,we can plot “less than type” ogive. ClassesNo. of shops C f 5 - 10 2 2 10 - 15 12 14 15 - 20 2 16 20 - 25 4 20 25 - 30 3 23 30 - 35 4 27 35 - 40 3 30

5. The smooth curve gives “ less than” ogive. Cumulative frequency Upper limits of profits

6. Both ogives (i.e. “less than type” and “more than type” )on the same axis. The two ogives will intersect each other at a point. From this point, if we draw a perpendicular on the x -axis,the point at which it cuts the x-axis gives us the median. Median by graph

7. ‘More than type’ and ‘less than type’ ogive. Cumulative frequency Lower limits of profits Median(17.5)

8. The abcissa of their point of intersection is 17.5,which is median. The smooth curve we get in the graph is called a cumulative frequency curve, or an ogive (both of “less than type” and “ more than type”.)

9. The following distribution gives the daily income of 50 workers of a factory. Daily income(in Rs)Number of workers 100-120 12 120-140 14 140-160 8 160-180 6 180-200 10

10. “ Less than type” ogive. Upper limits of profits Cumulative frequency

11. “More than type” ogive Income (in Rs)Number of shops 100 50 120 38 140 24 160 16 180 10

12. “more than type” ogive. Lower limits of profits Cumulative frequency

13. Both “less than type” and “more than type” graph to find median Median Cumulative frequency