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Electricity Used by Some Families is Shown in the Following Table. Find The Mode for Use of Electricity. - Algebra

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Sum

Electricity used by some families is shown in the following table. Find the mode for use of electricity. 

Use of electricity (Unit) 0 - 20 20 - 40 40 - 60 60 - 80 80 - 100 100 - 120
No. of families 13 50 70 100 80 17
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Solution

The maximum class frequency is 100. 
The class corresponding to this frequency is 60 - 80. 
So, the modal class is 60 - 80.
L (the lower limit of modal class) =  60
f1 (frequency of the modal class) = 100
fo (frequency of the class preceding the modal class) = 70
f2 (frequency of the class succeeding the modal class) = 80
h (class size) = 20
Mode = \[L + \left( \frac{f_1 - f_0}{2 f_1 - f_0 - f_2} \right) \times h\]
\[= 60 + \left( \frac{100 - 70}{2 \times 100 - 70 - 80} \right) \times 20\]
= 60 + 12
= 72
Hence, the modal electricity is 72 units.

Concept: Tabulation of 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 2 | Page 149

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