The following table shows the information regarding the milk collected from farmers on a milk collection centre and the content of fat in the milk, measured by a lactometer. Find the mode of fat content.

Answer

The mode of fat content is `4.33%`.

Explanation

Here, the maximum frequency (80) is in the class 4 - 5 .
` :. ` the modal class is ` 4 - 5`.
In the given example.
L = Lower class limit of the modal class = 4
h = Class interval of the modal class = 1
`f_(1)` = Frequency of the class preceding the modal class = 70
`f_(2)` = Frequency of the class succeeding the modal class = 60
Mode ` =L + [(f_(1) - f_(0))/(2f_(1) - f_(0)-f_(2))] xx h`
` = 4 + [(80-70)/(2(80)-70-60)] xx 1`
` = 4 + (10/(160 - 130))`
` = 4 + 10/30 = 4 + 1/3 = 4 + 0.33 = 4.33`