# 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

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

#### Solution

 Class(Toll in rupees) Class Markxi di = xi − A Frequency(Number of vehiclesfi Frequency × deviationfi × 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