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In the Following Table, the Toll Paid by Drivers and the Number of Vehicles is Shown. Find the Mean of the Toll by 'Assumed Mean' Method. - Algebra

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Sum

In the following table, the toll paid by drivers and the number of vehicles is shown. Find the mean of the toll by 'assumed mean' method.

Toll (Rupees) 300 - 400 400 - 500 500 - 600 600 - 700 700 - 800
No. of vehicles 80 110 120 70 40
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Solution

Class
(Toll in rupees)
Class Mark
xi
di = x− A Frequency
(Number of vehicles
fi
Frequency × deviation
f× di
300 - 400  350 −200 80 −16000
400 - 500 450 −100 110 −11000
500 - 600 550 = A 0 120 0
600 - 700 650 100 70 7000
700 - 800 750 200 40 8000
     
\[\sum f_i = 420_{}\]
\[\sum_{} f_i d_i = - 12000\]

Required Mean = \[A + \frac{\sum_{} f_i d_i}{\sum_{} f_i}\]
\[= 550 - \frac{12000}{420}\]
= 550 − 28.57
​= Rs 521.43  
Hence, the mean of toll is Rs 521.43.

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 6.1 | Q 2 | Page 138
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