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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

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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
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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
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APPEARS IN

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