The following distribution gives the daily income of $50$ workers of a factory.
Daily income (in Rs.) $100-120$ $120-140$ $140-160$ $160-180$ $180-200$ Number of workers $12$ $14$ $8$ $6$ $10$
Convert the distribution above to a less than type cumulative frequency distribution,and draw its ogive.
| Daily income (in Rs.) | $100-120$ | $120-140$ | $140-160$ | $160-180$ | $180-200$ |
| Number of workers | $12$ | $14$ | $8$ | $6$ | $10$ |
Convert the distribution above to a less than type cumulative frequency distribution,and draw its ogive.
(N/A) The frequency distribution table of less than type is as follows:
Taking upper class limits of class intervals on the $x$-axis and their respective cumulative frequencies on the $y$-axis,the ogive is drawn by plotting the points $(120, 12), (140, 26), (160, 34), (180, 40),$ and $(200, 50)$ and joining them with a smooth curve.
| Daily income (in Rs.) (upper class limits) | Cumulative frequency |
| Less than $120$ | $12$ |
| Less than $140$ | $12 + 14 = 26$ |
| Less than $160$ | $26 + 8 = 34$ |
| Less than $180$ | $34 + 6 = 40$ |
| Less than $200$ | $40 + 10 = 50$ |
Taking upper class limits of class intervals on the $x$-axis and their respective cumulative frequencies on the $y$-axis,the ogive is drawn by plotting the points $(120, 12), (140, 26), (160, 34), (180, 40),$ and $(200, 50)$ and joining them with a smooth curve.
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