If the sum of 4 numbers is between 53 and 57 then the arithmetic mean of the numbers could be one of the following a)11.5 b)12 c)12.5 d)13 e)14


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Question Number 89907 by necxxx last updated on 19/Apr/20

$I f t h e s u m o f 4 n u m b e r s i s b e t w e e n$ $53 a n d 57 t h e n t h e a r i t h m e t i c m e a n o f$ $t h e n u m b e r s c o u l d b e o n e o f t h e$ $f o l l o w i n g$ $a) 1 1 . 5 b) 12 c) 12.5 d) 13 e) 14$
	Answered by MJS last updated on 19/Apr/20

	$\bar{x} = \frac{\underset{j = 1}{\sum^{n}} x_{j}}{n}$ $n = 4; 53 < \underset{j = 1}{\sum^{n}} x_{j} < 57 \Rightarrow \frac{53}{4} < \bar{x} < \frac{57}{4} same as$ $13.25 < \bar{x} < 14.25 \Rightarrow answer is e) 14$
	Commented by I want to learn more last updated on 20/Apr/20

	$Sir, help me check Q 89908 . Is the question possible ? . I just want to know .$
	Commented by necxxx last updated on 20/Apr/20

	${I t}^{'} s c l e a r a n d u n d e r s t a n d a b l e s i r . T h a n k y o u .$
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