Estimate the mean of the following data using Assumed mean method.

5.28

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6.28

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7.28

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8.28

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Solution

The correct option is B $7.28$
Answer:- By shortcut Method

No. of employees
(x) Daily Earnings
(f) d=x-A fd
5 100 -2 -200
6 120 -1 -120
7=A 140 0 0
8 160 1 160
9 180 2 360
$Σ f = 700$ $Σ f d = 200$
Mean = $A + \frac{Σ f d}{Σ f} = 7 + \frac{200}{700} = \frac{4900 + 200}{700} = \frac{5100}{700} = 7.28$
C)7.28

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Find the mean for the following data using assumed mean method. [4 MARKS]

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No. of employees (x)	Daily Earnings (f)	d=x-A	fd
5	100	-2	-200
6	120	-1	-120
7=A	140	0	0
8	160	1	160
9	180	2	360
	$Σ f = 700$		$Σ f d = 200$

Estimate the mean of the following data using Assumed mean method.

The correct option is B 7.28Answer:- By shortcut MethodNo. of employees(x) Daily Earnings(f) d=x-A fd 5100-2-2006120-1-1207=A140008160116091802360 Σf=700 Σfd=200 Mean = A+ΣfdΣf=7+200700=4900+200700=5100700=7.28C)7.28