The following table gives the production yield per hectare of wheat of 100 farms of a village.
Production yield(kg/ha)50−5555−6060−6565−7070−7575−80Number of farms2812243816
Change the distribution to a 'more than type' distribution and draw its ogive.Using ogive,find the median of the given data.
The frequency distribution table of more than type is as follows:
Production yield (kg/ha)(lower class limits) | Cumulative frequency (cf) |
More than 50 | 2+98=100 |
More than 55 | 8+90=98 |
More than 60 | 12+78=90 |
More than 65 | 24+54=78 |
More than 70 | 38+16=54 |
More than 75 | 16 |
Taking the lower class limits on x-axis and their respective cumulative frequencies on y-axis, its ogive can be obtained as follows:
Here, N=100,
⇒ N2=50
Mark the point A whose ordinate is 50 and its x-coordinate is 70.5.
The median of the data is 70.5