Chapter: Statistics· Mathematics Part 1 (Algebra)

Asked in: July 2024 board paperQ.7 In the following table, the toll (in Rs.) paid from 6 am to 6 pm by drivers and the number of vehicles is shown. Find the mean of the toll by ‘assumed mean’ method.Toll (Rs.)No. of vehicles300–40080400–500110500–600…

Asked in: July 2024 board paper

Q.7 In the following table, the toll (in Rs.) paid from 6 am to 6 pm by drivers and the number of vehicles is shown. Find the mean of the toll by ‘assumed mean’ method.

Toll (Rs.)	No. of vehicles
300–400	80
400–500	110
500–600	120
600–700	70
700–800	40

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Answer: Mean toll = Rs. 521.43 (approx.)

Take assumed mean A = 550.

Class	\(x_i\)	\(d_i = x_i - 550\)	\(f_i\)	\(f_i d_i\)
300–400	350	−200	80	−16000
400–500	450	−100	110	−11000
500–600	550	0	120	0
600–700	650	100	70	7000
700–800	750	200	40	8000
Total			420	−12000

\(\bar{d} = \dfrac{\sum f_i d_i}{\sum f_i} = \dfrac{-12000}{420} = -28.57\)

\(\bar{x} = A + \bar{d} = 550 - 28.57 = 521.43\)

The mean toll is about Rs. 521.43.

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Asked in: July 2024 board paperQ.7 In the following table, the toll (in Rs.) paid from 6 am to 6 pm by drivers and the number of vehicles is shown. Find the mean of the toll by ‘assumed mean’ method.Toll (Rs.)No. of vehicles300–40080400–500110500–600…

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