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. - Algebra

Sum

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.

 Content of fat (%) 2 - 3 3 - 4 4 - 5 5 - 6 6 - 7 Milk collected (Litre) 30 70 80 60 20

Solution

The maximum class frequency is 80.
The class corresponding to this frequency is 4 - 5.
So, the modal class is 4 - 5.
L (the lower limit of modal class) =  4
f1 (frequency of the modal class) = 80
fo (frequency of the class preceding the modal class) = 70
f2 (frequency of the class succeeding the modal class) = 60
h (class size) = 1
Mode = $L + \left( \frac{f_1 - f_0}{2 f_1 - f_0 - f_2} \right) \times h$
$= 4 + \left( \frac{80 - 70}{2 \times 80 - 70 - 60} \right) \times 1$

= 4 + 0.33
= 4.33
Hence, the modal fat content is 4.33 litres.
Concept: Median of Grouped Data
Is there an error in this question or solution?

APPEARS IN

Balbharati Mathematics 1 Algebra 10th Standard SSC Maharashtra State Board
Chapter 6 Statistics
Practice Set 6.3 | Q 1 | Page 149