MADE BY- D.PAULWIN X-C

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 More than or equal to More than or equal to More than or equal to More than or equal to 30 7 More than or equal to 35 3

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

With the same values,we can plot “less than type” ogive. ClassesNo. of shops C f

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

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

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

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”.)

The following distribution gives the daily income of 50 workers of a factory. Daily income(in Rs)Number of workers

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

“More than type” ogive Income (in Rs)Number of shops

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

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