# The frequency distribution table of agriculture holdings in a village is given below:Area of land (in hectares):1-33-55-77-99-1111-13Number of families:204580554012Find the modal agriculture holdings of the village.

Given:

The frequency distribution table of agriculture holdings in a village is given.

To do:

We have to find the modal agriculture holdings of the village.

Solution:

The frequency of the given data is as given below.

 Area of land (in hectares)($x_i$): Number of families$(f_i$): 1-3 20 3-5 45 5-7 80 7-9 55 9-11 40 11-13 12

We observe that the class interval of 5-7 has the maximum frequency(80).

Therefore, it is the modal class.

Here,

$l=5, h=2, f=80, f_1=45, f_2=55$

We know that,

Mode $=l+\frac{f-f_1}{2 f-f_1-f_2} \times h$

$=5+\frac{80-45}{2 \times 80-45-55} \times 2$

$=5+\frac{35}{160-100} \times2$

$=5+\frac{70}{60}$

$=5+1.16$

$=6.16$

The modal agriculture holdings of the village is 6.2 hectares.

Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

48 Views

##### Kickstart Your Career

Get certified by completing the course