Question

The following table gives the production yield per hectare of wheat of 100 farms of a village.

Production yield in kg/hectare	50-55	55-60	60-65	65-70	70-75	75-80
Number of farms	2	8	12	24	38	16

Change the above distribution to more than type distribution and draw its ogive.

Answer 1

Production yield in kg/hectare	Number of farms
More than 50	100
More than 55	98
More than 60	90
More than 65	78
More than 70	54
More than 75	16

We plot the points A(50,100), B(55,98), C(60,90), D(65,78), E(70,54) and F(75,16).
Join AB, BC, CD, DE, EF and FA with a free hand to get the curve representing the 'more than' curve.
$$\begin{gathered} \mathrm{Here},N=100 \\ \Rightarrow \frac{N}{2}=50 \end{gathered}$$



From (0,50) draw PQ meeting the curve at Q. Draw QM meeting at M.
Clearly, OM=70 kg/hectare
∴ Median=70 kg/hectare