The following table gives the production yield per hectare of wheat of $100$ farms of a village.
Production yield (in kg/ha) Number of farms $50-55$ $2$ $55-60$ $8$ $60-65$ $12$ $65-70$ $24$ $70-75$ $38$ $75-80$ $16$
Change the distribution to a 'more than type' distribution,and draw its ogive.
| Production yield (in kg/ha) | Number of farms |
|---|---|
| $50-55$ | $2$ |
| $55-60$ | $8$ |
| $60-65$ | $12$ |
| $65-70$ | $24$ |
| $70-75$ | $38$ |
| $75-80$ | $16$ |
Change the distribution to a 'more than type' distribution,and draw its ogive.
(N/A) The cumulative frequency distribution of 'more than type' can be obtained as follows:
By plotting the points $(50, 100), (55, 98), (60, 90), (65, 78), (70, 54), (75, 16)$ on a graph paper,taking the lower class limits on the $x$-axis and their respective cumulative frequencies on the $y$-axis,we obtain the 'more than type' ogive.
| Production yield (lower class limits) | Cumulative frequency |
|---|---|
| More than or equal to $50$ | $100$ |
| More than or equal to $55$ | $100 - 2 = 98$ |
| More than or equal to $60$ | $98 - 8 = 90$ |
| More than or equal to $65$ | $90 - 12 = 78$ |
| More than or equal to $70$ | $78 - 24 = 54$ |
| More than or equal to $75$ | $54 - 38 = 16$ |
By plotting the points $(50, 100), (55, 98), (60, 90), (65, 78), (70, 54), (75, 16)$ on a graph paper,taking the lower class limits on the $x$-axis and their respective cumulative frequencies on the $y$-axis,we obtain the 'more than type' ogive.
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